scientific article

From MaRDI portal

Publication:3995493

Jump to:navigation, search

zbMath0688.57001MaRDI QIDQ3995493

Marie-Louise Michelsohn, H. Blaine jun. Lawson

Publication date: 17 September 1992

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) Index theory and related fixed-point theorems on manifolds (58J20) Global Riemannian geometry, including pinching (53C20) Clifford algebras, spinors (15A66) Boundary value problems on manifolds (58J32) Research exposition (monographs, survey articles) pertaining to global analysis (58-02) Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) (57R15) Topology of vector bundles and fiber bundles (57R22) Immersions in differential topology (57R42) Research exposition (monographs, survey articles) pertaining to manifolds and cell complexes (57-02) Manifolds of metrics (especially Riemannian) (58D17)

Related Items

A conformal lower bound for the smallest eigenvalue of the Dirac operator and Killing spinors, On the range of the relative higher index and the higher rho-invariant for positive scalar curvature, A formula for the heat kernel coefficients of the Dirac Laplacians on spin manifolds, Supersymmetry algebras in arbitrary signature and their R-symmetry groups, Min-max solutions for super sinh-Gordon equations on compact surfaces, Spectral bounds for Dirac operators on open manifolds, A structure theorem of Dirac-harmonic maps between spheres, Isospectral deformations of Eguchi-Hanson spaces as nonunital spectral triples, A characterization of Dirac morphisms, Energy identities and blow-up analysis for solutions of the super Liouville equation, Quantisation commutes with reduction at discrete series representations of semisimple groups, Generic metrics and the mass endomorphism on spin three-manifolds, Dirac-harmonic maps, Some conformally flat spin manifolds, Dirac operators and automorphic forms, Perturbations of Dirac operators, Energy identities for Dirac-harmonic maps, Eigenvalue estimates for the Dirac operator with generalized APS boundary condition, Coherent states in geometric quantization, Spectral triples of holonomy loops, Canonical bases for real representations of Clifford algebras, Eigenvalue estimates for the basic Dirac operator on a Riemannian foliation admitting a basic harmonic 1-form, Eta invariants of Dirac operators on locally symmetric manifolds, Link homology theories from symplectic geometry, On the geometry of closed \(G_{2}\)-structures, High energy limits of Laplace-type and Dirac-type eigenfunctions and frame flows, Manifolds with small Dirac eigenvalues are nilmanifolds, Generalized Clifford theory for graded spaces, New invariants of \(G_{2}\)-structures, Geometry of the hyperbolic spinors corresponding to alternative frame, Dirac-geodesics and their heat flows, Dirac spectral flow on contact three manifolds. II: Thurston-Winkelnkemper contact forms., Instability of reducible critical points of the Seiberg-Witten functional, Demonstration representation and tensor products of Clifford algebras, Calabi-Yau \(n\)-folds in projective superspace, The spinorial energy functional on surfaces, The polynomial null solutions of a higher spin Dirac operator in two vector variables, Loop groups and twisted \(K\)-theory. III, A Poincaré-Hopf type formula for Chern character numbers, The Holst action by the spectral action principle, Canonical forms for families of anti-commuting diagonalizable linear operators, A superalgebraic interpretation of the quantization maps of Weil algebras, Extremal metrics for spectral functions of Dirac operators in even and odd dimensions, On the moduli space of positive Ricci curvature metrics on homotopy spheres, Sasaki-Einstein manifolds and volume minimisation, Immersions of Lorentzian surfaces in \(\mathbb R^{2,1}\), Perturbations of the metric in Seiberg-Witten equations, The spectrum of the twisted Dirac operator on Kähler submanifolds of the complex projective space, Spin\(^{q}\) manifolds admitting parallel and Killing spinors, On gravity, torsion and the spectral action principle, Pseudodifferential operators on manifolds with foliated boundaries, A spinorial analogue of Aubin's inequality, The \(\mathcal{L}_B\)-cohomology on compact torsion-free \(\mathrm{G}_2\) manifolds and an application to `almost' formality, On degenerate secant and tangential varieties and local differential geometry, Spineurs, opérateurs de Dirac et variations de métriques. (Spinors, Dirac operators and variations of the metrics), Dirac-Hestenes spinor fields on Riemann-Cartan manifolds, Curvature decomposition of \(G_2\)-manifolds, Nahm transform for Higgs bundles, Existence results for solutions to nonlinear Dirac systems on compact spin manifolds, Geometric cycles, index theory and twisted \(K\)-homology, Rigidity results for Riemannian spin\(^c\) manifolds with foliated boundary, Special metrics and triality, SUSY structures on deformed supermanifolds, A geometric construction of the exceptional Lie algebras \(F_4\) and \(E_8\), Spectral analysis and geometry of a sub-Riemannian structure on \(S^3\) and \(S^7\), Surgery and harmonic spinors, Isometric immersions of hypersurfaces in 4-dimensional manifolds via spinors, Conformal geometry of the supercotangent and spinor bundles, Killing-Yano tensors and multi-Hermitian structures, Spinorial characterizations of surfaces into three-dimensional homogeneous manifolds, \(K(1)\)-local topological modular forms, Limiting absorption principle for some long range perturbations of Dirac systems at threshold energies, Superization of homogeneous spin manifolds and geometry of homogeneous supermanifolds, Regularity and energy quantization for the Yang-Mills-Dirac equations on 4-manifolds, Unitary representations of nilpotent super Lie groups, Field theory configuration spaces for connective ko-theory, The uncanny precision of the spectral action, Electromagnetic duality and \(\text{SU}(3)\) monopoles., Lower bounds for the eigenvalues of the Dirac operator on Spin\(^c\) manifolds, Index theory and partitioning by enlargeable hypersurfaces, Homotopy groups of the moduli space of metrics of positive scalar curvature, Spin\(^{q}\) manifolds and \(S^{1}\) actions, Spectral triples for noncommutative solenoidal spaces from self-coverings, Scalar curvature and asymptotic symmetric spaces, Dirac operators on non-compact orbifolds, Harmonicity of sections of sphere bundles, D-branes, RR-fields and duality on noncommutative manifolds, Spin geometry and image processing, A Sobolev-like inequality for the Dirac operator, The index of geometric operators on Lie groupoids, On Dirac equation with a potential and critical Sobolev exponent, Differential twisted K-theory and applications, Asymptotic expansion of perturbative Chern-Simons theory via Wiener space, Dirac-harmonic maps from degenerating spin surfaces. I: The Neveu-Schwarz case, On the spectrum of the twisted Dolbeault Laplacian over Kähler manifolds, A local families index formula for \({\overline{\partial}}\)-operators on punctured Riemann surfaces, A higher index theorem for foliated manifolds with boundary, Some explicit constructions of Dirac-harmonic maps, Bulk-boundary correspondence for disordered free-fermion topological phases, Regularity for Dirac-harmonic maps into certain pseudo-Riemannian manifolds, Optimal eigenvalues estimate for the Dirac operator on domains with boundary, Some applications of differential topology in general relativity, Twisting procedure on torogonal structures, Geometric prequantization on the spin bundle based on \(n\)-symplectic geometry: The Dirac equation, Getzler rescaling via adiabatic deformation and a renormalized index formula, The super-Toda system and bubbling of spinors, The conformal flow of metrics and the general Penrose inequality, A vanishing result for the supersymmetric nonlinear sigma model in higher dimensions, Generalised Seiberg-Witten equations and almost-Hermitian geometry, \(K\)-homology classes of elliptic uniform pseudodifferential operators, M-theory from the superpoint, Generalized pure spinors, Bott towers, complete integrability, and the extended character of representations, T-duality simplifies bulk-boundary correspondence: the noncommutative case, Connected sums with \(\mathbb{H} P^n\) or \(CaP^{2}\) and the Yamabe invariant, The hyperbolic spinor representation of transformations in \(\mathbb {R}_1^3\) by means of split quaternions, On an explicit isomorphism of standard level-one modules for \(\hat D_{4n}\), Naturalness of the space of states in quantum mechanics, A boundary value problem for the nonlinear Dirac equation on compact spin manifold, Partial regularity for a nonlinear sigma model with gravitino in higher dimensions, Rigidity of 2-step Carnot groups, Induced cyclic cocycles and higher eta invariants, Homogeneous spin Riemannian manifolds with the simplest Dirac operator, A note on twisted Dirac operators on closed surfaces, Spin-1/2 and spin-3/2 field solutions in plane wave spacetimes, The Dirac operator on Lorentzian spin manifolds and the Huygens property, Immersion in \(\mathbb {R}^n\) by complex spinors, \(KO\)-obstructions of non-abelian group action on spin manifolds, Krein spectral triples and the fermionic action, Deformation of singular connections I: \(G_2\)-instantons with point singularities, Spontaneous symmetry breaking and geometry from the spectral viewpoint, Euclidean \(D\)-branes and higher-dimensional gauge theory, Eigenforms of the spin Laplacian and projectable spinors for principal bundles, Homology of \(O(n)\) and \(O^1(1,n)\) made discrete: An application of edgewise subdivision, Equivariant index and the moment map for completely integrable torus actions, Maximal Higgs bundles for adjoint forms via Cayley correspondence, Complete classification of pseudo \(H\)-type Lie algebras. I, A global weak solution of the Dirac-harmonic map flow, Calabi-Yau manifolds, Hermitian Yang-Mills instantons, and mirror symmetry, A new class of fermionic projectors: Møller operators and mass oscillation properties, On the definition of spacetimes in noncommutative geometry. I., Coarse regularity of solutions to a nonlinear sigma-model with \(L^p\) gravitino, Short time existence of the heat flow for Dirac-harmonic maps on closed manifolds, The index of Callias-type operators with Atiyah-Patodi-Singer boundary conditions, Robinson manifolds as the Lorentzian analogs of Hermite manifolds., A note on the uncoupled Dirac-harmonic maps from Kähler spin manifolds to Kähler manifolds, Transgression field theory at the interface of topological insulators, Derivations and linear connections on Clifford vector bundles, Derivations as square roots of Dirichlet forms, A new method for eigenvalue estimates for Dirac operators on certain manifolds with \(S^{k}\)-symmetry, On the homology of the orthogonal coefficient group in Clifford algebras, Une nouvelle estimation extrinsèque du spectre de l'opérateur de Dirac.. (A new extrinsic estimate for the spectrum of the Dirac operator), Remarques sur le spectre de l'opérateur de Dirac. (Remarks on the spectrum of the Dirac operator), On the rho invariant for manifolds with boundary, A mod 2 index theorem for \(\mathrm{pin}^-\) manifolds, Spin geometry of Dirac and noncommutative geometry of Connes, Killing spinor equations in dimension 7 and geometry of integrable \(G_{2}\)-manifolds, Positive scalar curvature and the Euler class, A note on the topology of irreducible \(\mathbf{SO}(3)\)-manifolds, Differentiable functions of quaternion variables., From tracial anomalies to anomalies in quantum field theory, Regularity of solutions of the nonlinear sigma model with gravitino, Enlargeability, foliations, and positive scalar curvature, Energy identity for a class of approximate Dirac-harmonic maps from surfaces with boundary, Equivariant Euler characteristics and \(K\)-homology Euler classes for proper cocompact \(G\)-manifolds, Parallel pure spinors and holonomy, Reidemeister-Turaev torsion modulo one of rational homology threespheres, A non-abelian Seiberg-Witten invariant for integral homology 3-spheres, Spinor spaces of Clifford algebras, On complex representations of Clifford algebra, Estimates for solutions of Dirac equations and an application to a geometric elliptic-parabolic problem, Spectral flow for skew-adjoint Fredholm operators, On \(L^ 2\)-index theorems for complete manifolds of rank-one type, \(L^ 2\)-index for certain Dirac-Schrödinger operators, Harmonic spinors on Riemann surfaces, Higher eta-invariants, The space of negative scalar curvature metrics, Characteristic classes of oriented 6-dimensional submanifolds in the octonians, Conformal deformation of warped products and scalar curvature functions on open manifolds, A Bott periodicity theorem for infinite dimensional Euclidean space, Supersymmetric Yang-Mills, octonionic instantons and triholomorphic curves, D-branes in orbifold singularities and equivariant \(K\)-theory., D-branes, derived categories, and Grothendieck groups, Brane descent relations in \(K\)-theory, The computation of \(\eta\)-invariants on manifolds with free circle action, Intersecting brane geometries, Lattice gauge fields and noncommutative geometry, The quaternionic geometry of four-dimensional conformal field theory, Harmonic analysis for spinor fields in complex hyperbolic spaces, Positive scalar curvature, diffeomorphisms and the Seiberg-Witten invariants, Minimal submanifolds in Riemannian spin manifolds with parallel spinor fields, Fuzzy \({\mathbb C}P^2\)., Totally geodesic subgroups of diffeomorphisms, On the irredundant part of the first Piola-Kirchhoff stress tensor, On the spectral theory of manifolds with cusps., Eigenvalues of the Dirac operator on compact Kähler manifolds, Families index theory, gauge fixing, and topology of the space of lattice gauge fields: a summary, Metrics with nonnegative isotropic curvature, Scalar curvature estimates for compact symmetric spaces., Semi-Riemannian submersions from real and complex pseudo-hyperbolic spaces., Connes' noncommutative differential geometry and the standard model, The general relativistic constraint equations, A mixed elliptic-parabolic boundary value problem coupling a harmonic-like map with a nonlinear spinor, Energy identity and necklessness for a nonlinear supersymmetric sigma model, Cauchy spinors on 3-manifolds, Moduli space of nonnegatively curved metrics on manifolds of dimension \(4k+1\), Fusion of implementers for spinors on the circle, Transversely symplectic Dirac operators on transversely symplectic foliations, Geometric \(K\)-homology and the Freed-Hopkins-Teleman theorem, Global aspects of moduli spaces of 2d SCFTs, Horizontal lift problems in a pull-back bundle of tensor bundles defined by projection of the cotangent bundles, Differential geometry of \(\mathrm{SO}^*(2n)\)-type structures-integrability, Hadamard property of the \textit{in} and \textit{out} states for Dirac fields on asymptotically static spacetimes, Dirac-harmonic maps with potential, The qualitative behavior for approximate Dirac-harmonic maps into stationary Lorentzian manifolds, Super \(J\)-holomorphic curves: construction of the moduli space, Moduli space of non-negative sectional or positive Ricci curvature metrics on sphere bundles over spheres and their quotients, Deformations of \(\text{G}_2\)-instantons on nearly \(\text{G}_2\) manifolds, Curvature effect in the spinorial Yamabe problem on product manifolds, The positive scalar curvature cobordism category, On the Dirac spectrum of homogeneous 3-spheres, Nonnegative scalar curvature and area decreasing maps on complete foliated manifolds, Siegel-Satake cross and associated Clifford algebras, Singular Riemannian foliations and their quadratic basic polynomials, Nonnegative scalar curvature and area decreasing maps, Elliptic operators and \(K\)-homology, Topological \(K\)-theory with coefficients and the \(e\)-invariant, Noncommutative geometry and structure of space-time, Scalar curvature, Kodaira dimension and \({{\widehat{A}}} \)-genus, Heat conservation for generalized Dirac Laplacians on manifolds with boundary, Morse homology for asymptotically linear Dirac equations on compact manifolds, A topological approach to indices of geometric operators on manifolds with fibered boundaries, Canonical Lorentzian spin structure and twistor spinors on the Fefferman space of a contact Riemannian manifold, Vertical genera, On the spectrum of differential operators under Riemannian coverings, \(S^1\)-quotient of \(\mathrm{Spin}(7)\)-structures, Octonion measures for solutions of PDEs, Calderón problem for Yang-Mills connections, Adiabatic limit in Ginzburg-Landau and Seiberg-Witten equations, Łojasiewicz-Simon gradient inequalities for analytic and Morse-Bott functions on Banach spaces, A geometric realisation of tempered representations restricted to maximal compact subgroups, A binary encoding of spinors and applications, The regularized Hadamard expansion, Differential \(K\)-theory and localization formula for \(\eta \)-invariants, Flat gauge fields and the Riemann-Hilbert correspondence, Spinor covariant derivative on degenerate manifolds, Automorphism groups of pseudo \(H\)-type algebras, The Atiyah-Patodi-Singer index and domain-wall fermion Dirac operators, Width, largeness and index theory, Twistor sections of Dirac bundles, Eigenvalue estimates for multi-form modified Dirac operators, Spectral theory of a class of nilmanifolds attached to Clifford modules, Supersymmetric Euclidean field theories and K-theory, Non-negative versus positive scalar curvature, Relaxed Euler systems and convergence to Navier-Stokes equations, Intertwining operators for symmetric hyperbolic systems on globally hyperbolic manifolds, Jacobi relations on naturally reductive spaces, The Yamabe invariants of Inoue surfaces, Kodaira surfaces, and their blowups, Construction of initial data sets for Lorentzian manifolds with lightlike parallel spinors, New eigenvalue estimates involving Bessel functions, On the Fredholm Lagrangian Grassmannian, spectral flow and ODEs in Hilbert spaces, Energy quantization for a singular super-Liouville boundary value problem, Second order elliptic equations and Hodge-Dirac operators, Differential KO-theory: constructions, computations, and applications, Root bundles and towards exact matter spectra of F-theory MSSMs, Super-exceptional embedding construction of the heterotic M5: emergence of \(\mathrm{SU}(2)\)-flavor sector, The construction of Dirac operators on orientifolds, Existence of (Dirac-)harmonic maps from degenerating (spin) surfaces, Geometric non-commutative geometry, Equivariant eta forms and equivariant differential \(K\)-theory, Basis-free solution to Sylvester equation in Clifford algebra of arbitrary dimension, Triality for homogeneous polynomials, Clifford algebra-valued Segal-Bargmann transform and Taylor isomorphism, On mathematical problems in the theory of topological insulators, Some properties of Dirac-Einstein bubbles, Reflection positivity and invertible topological phases, Codimension one Ricci soliton subgroups of solvable Iwasawa groups, Energy identity and necklessness for \(\alpha\)-Dirac-harmonic maps into a sphere, Adinkras: graphs of Clifford algebra representations, supersymmetry, and codes, Coupling the Dirac and Einstein equations through geometry, Structures of spinors fiber bundles with special relativity of Dirac operator using the Clifford algebra, Witten genus and elliptic genera for proper actions, On the topology of the space of almost complex structures on the six sphere, Polar varieties and bipolar surfaces of minimal surfaces in the \(n\)-sphere, Characterization of hypersurfaces in four-dimensional product spaces via two different \(\text{Spin}^{\text{c}}\) structures, Some estimates over spacelike spin hypersurfaces of Lorentzian manifold, Para-linearity as the nonassociative counterpart of linearity, Geometric analysis of the Yang-Mills-Higgs-Dirac model, Topological \(G_2\) and Spin(7) strings at 1-loop from double complexes, On the topology of moduli spaces of non-negatively curved Riemannian metrics, Conformal Dirac-Einstein equations on manifolds with boundary., Positive scalar curvature on foliations: the noncompact case, The moduli space of nonnegatively curved metrics on quotients of \(S^2 \times S^3\) by involutions, Dirac operators on foliations with invariant transverse measures, Band width estimates via the Dirac operator, Topology of almost complex structures on six-manifolds, \(G_2\)-structures on flat solvmanifolds, New applications of Clifford's geometric algebra, Parallel spinors on globally hyperbolic Lorentzian four-manifolds, Null Kähler geometry and isomonodromic deformations, Stability of compact symmetric spaces, Spinorially twisted spin structures. I: Curvature identities and eigenvalue estimates., Pure spinors, intrinsic torsion and curvature in even dimensions, On the \(K\)-theoretic classification of topological phases of matter, \(\mathrm{Spin}(7)\)-manifolds in compactifications to four dimensions, Rationality of spectral action for Robertson-Walker metrics, The local counting function of operators of Dirac and Laplace type, Poisson-transmission problems for \(L^\infty\)-perturbations of the Stokes system on Lipschitz domains in compact Riemannian manifolds, Index pairings in presence of symmetries with applications to topological insulators, Regularity at the free boundary for Dirac-harmonic maps from surfaces, A Clifford bundle approach to the wave equation of a spin \(1/2\) fermion in the de Sitter manifold, Noncommutative potential theory: a survey, Surgery stable curvature conditions, Twisted partially pure spinors, Morita equivalence and spectral triples on noncommutative orbifolds, Twistor spinors and quasi-twistor spinors, The spinorial energy functional: solutions of the gradient flow on Berger spheres, A spinorial energy functional: critical points and gradient flow, Seiberg-Witten invariants on manifolds with Riemannian foliations of codimension 4, The flat Grothendieck-Riemann-Roch theorem without adiabatic techniques, Spectral zeta function on pseudo \(H\)-type nilmanifolds, The index of Dirac operators on incomplete edge spaces, Geometric data manipulation with Clifford algebras and Möbius transforms, Torus actions, fixed-point formulas, elliptic genera and positive curvature, Spaces and moduli spaces of Riemannian metrics, Spectrum of the Dirac operator on manifold with asymptotically flat end, \(L^p\)-spectrum of the Dirac operator on products with hyperbolic spaces, Topological insulators from the perspective of non-commutative geometry and index theory, An equivariant index for proper actions. III: The invariant and discrete series indices, Riemannian geometry of the space of volume preserving immersions, The Gromoll filtration, \(KO\)-characteristic classes and metrics of positive scalar curvature, Dirac-harmonic maps from index theory, The topological K-theory of certain crystallographic groups, Uniqueness of symplectic structures, Lawson's genus two surface and meromorphic connections, Concordance and isotopy of metrics with positive scalar curvature, Variational principles and eigenvalue estimates for unbounded block operator matrices and applications, Hamiltonian reduction, the Einstein flow, and collapse of 3-manifolds, A spinorial characterization of hyperspheres, Classification of spin structures on the noncommutative \(n\)-torus, Witten spinors on nonspin manifolds, Equivariant geometric K-homology for compact Lie group actions, Spectral triples and manifolds with boundary, Nonlinear Dirac equations with critical nonlinearities on compact spin manifolds, On a generalized Petrie's conjecture via index theorems, Trivializable sub-Riemannian structures on spheres, Conformal invariants of twisted Dirac operators and positive scalar curvature, Generalized Killing spinors on spheres, Classification of maximal transitive prolongations of super-Poincaré algebras, A projective Dirac operator on \(\mathbb{CP}^2\) within fuzzy geometry, Triality transformation and Lie group spin\(_{7}\), Maximal linear subspaces of strong self-dual 2-forms and the Bonan 4-form, Asymptotic heat kernel expansion in the semi-classical limit, Integral formula for the characteristic Cauchy problem on a curved background, Fragile black holes, A \(tt^*\)-bundle associated with a harmonic map from a Riemann surface into a sphere, Higher spin Dirac operators between spaces of simplicial monogenics in two vector variables, New examples of compact manifolds with holonomy Spin(7), The Picard group of the moduli space of \(r\)-spin Riemann surfaces, Clifford structures on Riemannian manifolds, Some remarks on the Dirac-Witten operator on pseudo-Riemannian manifolds, Polynomials with and without determinantal representations, The boundary value problem for the super-Liouville equation, A new proposal for the picture changing operators in the minimal pure spinor formalism, Leafwise homotopies and Hilbert-Poincaré complexes. I: Regular HP-complexes and leafwise pull-back maps, Bergman and Calderón projectors for Dirac operators, An index formula for perturbed Dirac operators on Lie manifolds, Spinorial proofs of the Alexandrov theorem for higher order mean curvatures in \(\mathbb{R}^{n + 1}\) and the Heintze-Karcher inequality, Cosmological Einstein-Maxwell instantons and Euclidean supersymmetry: beyond self-duality, A family of non-restricted \(D = 11\) geometric supersymmetries, T-duality for orientifolds and twisted KR-theory, Connections on Cahen-Wallach spaces, The space of metrics of positive scalar curvature, Mass endomorphism, surgery and perturbations, On the multiplicity of eigenvalues of conformally covariant operators, Theory of several paravector variables: Bochner-Martinelli formula and Hartogs theorem, No neck for Dirac-harmonic maps, Centralizers of spin subalgebras, \((1,1)\)-forms acting on spinors on Kähler surfaces, Quantum mass-spacetimes -- a Clifford and Lie algebraic approach, The Conley conjecture and beyond, Eigenvalue pinching on \(\text{spin}^c\) manifolds, Bifurcation on compact spin manifold, Notes on conservation laws, equations of motion of matter, and particle fields in Lorentzian and teleparallel de Sitter space-time structures, Controlled topological phases and bulk-edge correspondence, On the Fukaya category of a Fano hypersurface in projective space, Dynamics for QCD on an infinite lattice, Algebraic \(K\)-theory and derived equivalences suggested by T-duality for torus orientifolds, An explicit formula for the Dirac multiplicities on lens spaces, Sobolev spaces and Bochner Laplacian on complex projective varieties and stratified pseudomanifolds, Solutions of Dirac equations on compact spin manifolds via saddle point reduction, Rigidity results for spin manifolds with foliated boundary, On coupled Dirac systems, Spin covers of maximal compact subgroups of Kac-Moody groups and spin-extended Weyl groups, Functoriality of equivariant eta forms, The index formula and the spectral shift function for relatively trace class perturbations, Local torus actions modeled on the standard representation, On eigenvalue estimates for the Dirac-Witten-type operators, Dirac operators on Lagrangian submanifolds, Zeta function and regularized determinant on a disc and on a cone, Lower bounds for the eigenvalues of the basic Dirac operator on a Riemannian foliation, Stringy instability of topologically non-trivial AdS black holes and of de Sitter \(S\)-brane spacetimes, Irreducible maps and bilinear forms., Spin geometry on quantum groups via covariant differential calculi, Lower bounds for the eigenvalues of the Dirac operator, On non-simply connected manifolds with non-trivial parallel spinors, Eigenvalue estimates for Dirac operators coupled to instantons, Topological QCD, Complex surface singularities from the combinatorial point of view, Monopole and dyon bound states in \(N=2\) supersymmetric Yang-Mills theories, Bismut superconnections and the Chern character for Dirac operators on foliated manifolds, A \(K\)-theoretic relative index theorem and Callias-type Dirac operators, Pin structures and the modified Dirac operator, Alekseevskian spaces, Nuclear Calabi-Yau space, M-theory on eight-manifolds, Rigidity of higher elliptic genera, Scalar curvature estimates for \((n+ 4k)\)-dimensional spin manifolds, Nonrelativistic hydrogen type stability problems on nonparabolic 3-manifolds, Regularity for Dirac-harmonic map with Ricci type spinor potential, Universality of the holographic angular momentum cutoff, Lie algebra bundles on s-Kähler manifolds, with applications to Abelian varieties, Twistor integral representations of fundamental solutions of massless field equations, Immersions minimales et immersions pluriharmoniques entre variétés riemanniennes: résultats de non existence et de rigidité. (Minimal and pluriharmonic immersions between Riemannian manifolds: non-existence and rigidity results), Partial differential equations on semi-Riemannian manifolds, Lower bounds for eigenvalues of the Dirac operator on \(n\)-spheres with \(SO(n)\)-symmetry, A mod 2 index theorem for the twisted signature operator, Optimal lower eigenvalue estimates for Hodge-Laplacian and applications, On the minimal sum of Betti numbers of an almost complex manifold, A construction of \(K\)-contact manifolds by a fiber join, Oriented robot motion planning in Riemannian manifolds, \(N = 4\) near-horizon geometries in \(D = 11\) supergravity, Seiberg-like dualities for orthogonal and symplectic 3d \(\mathcal{N} = 2\) gauge theories with boundaries, Callias-type operators in von Neumann algebras, Semi-invariant Riemannian metrics in hydrodynamics, A fixed point theorem on noncompact manifolds, Pseudo-metric 2-step nilpotent Lie algebras, Symmetries and conservation laws of a nonlinear sigma model with gravitino, Characteristic classes of fiberwise branched surface bundles via arithmetic groups, Generalised spin structures in general relativity, Off-shell supersymmetry and filtered Clifford supermodules, On the complete integrability of the geodesic flow of pseudo-\(H\)-type Lie groups, Kuga-Satake construction and cohomology of hyperkähler manifolds, Infinite loop spaces and positive scalar curvature in the presence of a fundamental group, Universal cycles and homological invariants of locally convex algebras, Nonlinear Dirac equations, monotonicity formulas and Liouville theorems, Lagrangian surfaces with circle symmetry in the complex two-space, Supersymmetry, transfinite neural networks, hyperbolic manifolds, quantum gravity and the Higgs, The index bundle and multiparameter bifurcation for discrete dynamical systems, Flat pairing and generalized Cheeger-Simons characters, On the \(P\)-scalar curvature, A definition of total energy-momenta and the positive mass theorem on asymptotically hyperbolic 3-manifolds. I, The truncated Witten genus, Elliptic operators and higher signatures., Hermitian spin surfaces with small eigenvalues of the Dolbeault operator., A family index theorem for periodic Hamiltonian systems and bifurcation, \(\operatorname{Spin}^c\)-structures and Dirac operators on contact manifolds, An analytical approach to the equivariant index and Witten genus on spin manifolds, Spin\({}^h\) and further generalisations of spin, A spinorial analogue of the Brezis-Nirenberg theorem involving the critical Sobolev exponent, Eigenvalue estimates via weighted \(L^2\)-technique, Invariant Dirac operators, harmonic spinors, and vanishing theorems in CR geometry, A survey on positive scalar curvature metrics, A counting invariant for maps into spheres and for zero loci of sections of vector bundles, The Atiyah-Patodi-Singer index on manifolds with non-compact boundary, Manifolds with many Rarita-Schwinger fields, On inner automorphisms preserving fixed subspaces of Clifford algebras, Neutral signature gauged supergravity solutions, Classification of simple linearly compact Kantor triple systems over the complex numbers, A path integral formulation for particle detectors: the Unruh-DeWitt model as a line defect, Complex structures in real vector bundles over 8-manifolds, Twisted reality and the second-order condition, \( \alpha \)-Dirac-harmonic maps from closed surfaces, Cauchy data spaces and Atiyah-Patodi-Singer index on non-compact manifolds, \(S\)-arithmetic spinor groups with the same finite quotients and distinct \(\ell^2\)-cohomology, Skew Killing spinors in four dimensions, Polar actions on Damek-Ricci spaces, A lattice version of the Atiyah-Singer index theorem, Dynamical symmetries, super-coherent states and noncommutative structures: categorical and geometrical quantization analysis, Supersymmetry on curved spaces and holography, Seiberg-Witten like equations on pseudo-Riemannian \(\mathrm{Spin}^c\) manifolds with \(G_{2(2)}^\ast\) structure, The Fermi gerbe of Weyl semimetals, Five-dimensional vector multiplets in arbitrary signature, On the existence of harmonic \(\mathbf{Z}_2\) spinors, Locally convex curves and the Bruhat stratification of the spin group, Barbero-Immirzi connections and how to build them, Chern-Dirac bundles on non-Kähler Hermitian manifolds, Orientations for DT invariants on quasi-projective Calabi-Yau 4-folds, Submanifold geometry in symmetric spaces of noncompact type, Bott-Thom isomorphism, Hopf bundles and Morse theory, A spin-perturbation for minimal surfaces, Boundary value problems for Dirac-harmonic maps and their heat flows, Global existence of Dirac-wave maps with curvature term on expanding spacetimes, Metrics with positive scalar curvature at infinity and localization algebra, Spin structures on real projective quadrics, Lower bounds for eigenvalues of the Dirac operator on surfaces of rotation, Gauge formalism for general relativity and fermionic matter, Decomposition of the spinor bundle of a quaternionic Kähler spin-manifold under the action of the fundamental 4-form, Lower bounds for the eigenvalue of the transversal Dirac operator on a Kähler foliation, The Dirac-Ramond operator on loops in flat space, Infinitesimally holomorphic curves in hyperkähler four-manifolds, Transmission problems for the Navier-Stokes and Darcy-Forchheimer-Brinkman systems in Lipschitz domains on compact Riemannian manifolds, Chiral differential operators: formal loop group actions and associated modules, Noncommutative Galois extensions and ternary Clifford analysis, A few comments on conformal spin structures and conformal \(\mathrm{U}(1)\)-spin structures on a pseudo-Riemannian \(2r\)-dimensional manifold \(V\), Concept of Lie derivative of spinor fields a geometric motivated approach, Geometric calculus of the Gauss map, Universal algebras \(\mathcal U(V,Q)\) for quadratic mappings \(Q:V\rightarrow V\), The relativistic Hamilton-Jacobi equation for a massive, charged and spinning particle, its equivalent Dirac equation and the de Broglie-Bohm theory, An introduction to the edition of two Lemaître's original manuscripts, Geometric algebra techniques in flux compactifications, Order-unit quantum Gromov--Hausdorff distance, An orbifold relative index theorem, Chiral asymmetry and the spectral action, Linear bosonic and fermionic quantum gauge theories on curved spacetimes, A perturbation method for spinorial Yamabe type equations on \(S^m\) and its application, Vafa-Witten estimates for compact symmetric spaces, Causal conformal vector fields, and singularities of twistor spinors, Monopoles over 4-manifolds containing long necks. I, Charge conjugation from space-time inversion, Regularity for weakly Dirac-harmonic maps to hypersurfaces, A mass for ALF manifolds, A universal spinor bundle and the Einstein-Dirac-Maxwell equation as a variational theory, On a Hitchin-Thorpe inequality for manifolds with foliated boundaries, Complex and Lagrangian surfaces of the complex projective plane via Kählerian Killing \(\mathrm{Spin}^c\) spinors, Quantum differentiability of essentially bounded functions on Euclidean space, Infinitesimal moduli for the Strominger system and Killing spinors in generalized geometry, Blow-up analysis for approximate Dirac-harmonic maps in dimension 2 with applications to the Dirac-harmonic heat flow, On geodesic completeness for Riemannian metrics on smooth probability densities, Infinite loop spaces and positive scalar curvature, Differential topology of semimetals, Morse-Floer theory for superquadratic Dirac equations. I: Relative Morse indices and compactness, Essential self-adjointness of powers of first-order differential operators on non-compact manifolds with low-regularity metrics, Existence of infinitely many solutions of Dirac equations with sublinear nonlinearity, Construction of arbitrary order conformally invariant operators in higher spin spaces, Classification of topological invariants related to corner states, Positive scalar curvature on spin pseudomanifolds: the fundamental group and secondary invariants, Structure of geometric wrap groups of non-Archimedean fibers, A class of generalized Laplacians on vector bundles devoted to multi-channel image processing, Positive scalar curvature, higher rho invariants and localization algebras, The Higson-Roe exact sequence and \(\ell^2\) eta invariants, Real Baum-Connes assembly and T-duality for torus orientifolds, Adiabatic limits of Seifert fibrations, Dedekind sums, and the diffeomorphism type of certain 7-manifolds, The second coefficient of the asymptotic expansion of the Bergman kernel of the Hodge-Dolbeault operator, A weak compactness theorem of the Donaldson-Thomas instantons on compact Kähler threefolds, A variant of \(K\)-theory and topological T-duality for real circle bundles, Complex generalized Killing spinors on Riemannian \(\mathrm{Spin}^c\) manifolds, An efficient representation of Euclidean gravity. I, Uniqueness of the de Sitter spacetime among static vacua with positive cosmological constant, Superizations of Cahen-Wallach symmetric spaces and spin representations of the Heisenberg algebra, The eta invariant and equivariant bordism of flat manifolds with cyclic holonomy group of odd prime order, \(K\)-homology classes of Dirac operators on smooth subsets of singular spaces, Dirac operators on the Fefferman spin spaces in almost CR-geometry, Lower bounds of Lipschitz constants on foliations, Eigenvalue estimate of the Dirac operator and rigidity of Poincaré-Einstein metrics, Complete classification of pseudo \(H\)-type algebras. II, Immersion in \(\mathbb{S}^n\) by complex spinors, Spinors and the tangent groupoid, The finite group action and the equivariant determinant of elliptic operators. III, The Dirac operator under collapse to a smooth limit space, Real Killing spinors in neutral signature, Editorial note to: Erwin Schrödinger, ``Dirac electron in the gravitational field I, Obstruction class for the existence of a conformal spin structure in a strict sense, The index of a local boundary value problem for strongly Callias-type operators, Positive scalar curvature and a new index theory for noncompact manifolds, The fermionic signature operator in De Sitter spacetime, A Laplace operator for Poisson manifolds, \(J\)-holomorphic curves and Dirac-harmonic maps, An even Clifford diamond, On the evolution of regularized Dirac-harmonic maps from closed surfaces, Toric generalized Kähler structures. III, On the multiple existence of superquadratic Dirac-harmonic maps into flat tori, Real embedding and equivariant eta forms, Asymptotic analysis for Dirac-harmonic maps from degenerating spin surfaces and with bounded index, The \(S^1\)-equivariant signature for semi-free actions as an index formula, Stable existence of incompressible 3-manifolds in 4-manifolds, On the topology of real Bott manifolds, The kernel of the Rarita-Schwinger operator on Riemannian spin manifolds, Spectral flow of monopole insertion in topological insulators, Willmore surfaces in spheres: the DPW approach via the conformal Gauss map, The eta function and eta invariant of \(\mathbb{Z}_{2^r}\)-manifolds, Eta and rho invariants on manifolds with edges, Spin structures on compact homogeneous pseudo-Riemannian manifolds, Regularity of Dirac-harmonic maps with \(\lambda\)-curvature term in higher dimensions, Spectral flows of Toeplitz operators and bulk-edge correspondence, Spinorially twisted spin structures. II: Twisted pure spinors, special Riemannian holonomy and Clifford monopoles, Bohmian mechanics at space-time singularities. I: Timelike singularities, Quantization of polysymplectic manifolds, On the restricted conformal group of the \((1 + n)\)-Einstein static universe, Gravitational instantons with faster than quadratic curvature decay. II, Differential \(K\)-theory, \(\eta\)-invariant, and localization, String theory on elliptic curve orientifolds and \(KR\)-theory, Dirac and Laplace operators on some non-orientable conformally flat orbifolds, A local estimate for super-Liouville equations on closed Riemann surfaces, A holographic principle for the existence of imaginary Killing spinors, Some aspects of Dirac-harmonic maps with curvature term, Reducible conformal holonomy in any metric signature and application to twistor spinors in low dimension, The Lagrangian cobordism group of \(T^2\), The positive mass theorem for manifolds with distributional curvature, On the topological contents of \(\eta\)-invariants, Orientability for gauge theories on Calabi-Yau manifolds, Dirac fields in flat FLRW cosmology: uniqueness of the Fock quantization, Where infinite spin particles are localizable, Black holes, hidden symmetries, and complete integrability, Singular spaces, groupoids and metrics of positive scalar curvature, M-theory moduli spaces and torsion-free structures, Spectral action for Bianchi type-IX cosmological models, A note on Bochner type theorems for complete manifolds, Parallel spinors on Lorentzian spin\(^{c}\) manifolds, The \(\hat {A}\)-genus and symmetry of the Dirac spectrum on Riemannian product manifolds, On spin structures and orientations for gauge-theoretic moduli spaces, Conformal group theory of tensor structures, The energy functional of \(G_2\)-structures compatible with a background metric, Solutions to Donaldson's hyperkähler reduction on a curve, The mean curvature of special Lagrangian 3-folds in \(\text{SU}(3)\)-structures with torsion, Ground state Dirac bubbles and Killing spinors, Extrinsic conformal lower bounds of eigenvalue for Dirac operator, Kac regular sets and Sobolev spaces in geometry, probability and quantum physics, Spinors of real type as polyforms and the generalized Killing equation, Lower bounds for the eigenvalue estimates of the submanifold Dirac operator, Geography of 4-manifolds with positive scalar curvature, Solvability of Dirac type equations, Hypocoercivity of Langevin-type dynamics on abstract smooth manifolds, Selberg and Ruelle zeta functions for non-unitary twists, Positive mass theorem and the CR Yamabe equation on 5-dimensional contact spin manifolds, Symmetries, tensors, and the Horrocks bundle, Bicomplex extensions of zero mean curvature surfaces in \(\mathbb{R}^{2, 1}\) and \(\mathbb{R}^{2, 2}\), Global propagator for the massless Dirac operator and spectral asymptotics, Spectrum of SYK model, Tensor- and spinor-valued random fields with applications to continuum physics and cosmology, Index theory and topological phases of aperiodic lattices, The Dirac operator on locally reducible Riemannian manifolds, String structures associated to indefinite Lie groups, Harmonic forms and spinors on the Taub-bolt space, Ginzburg-Landau equations and their generalizations, Asymptotic spectral flow, An index theorem on asymptotically static spacetimes with compact Cauchy surface, A volumetric Penrose inequality for conformally flat manifolds, Analysis, geometry and topology of positive scalar curvature metrics. Abstracts from the workshop held June 27 -- July 3, 2021 (hybrid meeting), The signed monodromy group of an Adinkra, Polarization identities, Continuity of Dirac spectra, Uniqueness of Dirac-harmonic maps from a compact surface with boundary, The nontriviality of trivial general covariance: how electrons restrict `time' coordinates, spinors (almost) fit into tensor calculus, and \(\frac{7}{16}\) of a tetrad is surplus structure, The Klein-Gordon operator on Möbius strip domains and the Klein bottle in \(\mathbb R^{n }\), A Serre-Swan theorem for bundles of bounded geometry, Spectral flow and the unbounded Kasparov product, Cayley fibrations in the Bryant-Salamon Spin(7) manifold, On the spectrum of spherical Dirac-type operators, A relative higher index theorem, diffeomorphisms and positive scalar curvature, The qualitative boundary behavior of blow-up solutions of the super-Liouville equations, \({\eta}\)-invariant and a problem of Bérard-Bergery on the existence of closed geodesics, Torus fibrations and localization of index. II. Local index for acyclic compatible system, Twistor spaces and the general adiabatic expansions, \({\mathbb{Z}}_2^k\)-manifolds are isospectral on forms, The squares of the Dirac and spin-Dirac operators on a Riemann-Cartan space(time), A short proof of an index theorem, Connections and the Dirac operator on spinor bundles, Category bounds for nonnegative Ricci curvature manifolds with infinite fundamental group, The point spectrum of the Dirac operator on noncompact symmetric spaces, A classification of hyperpolar and cohomogeneity one actions, \(SU(3)\)-structures on submanifolds of a Spin(7)-manifold, On the stability of Riemannian manifold with parallel spinors, The construction of spinors in geometric algebra, Parallelizable 4-manifolds without complex structure whose twistor space is complex., The first conformal Dirac eigenvalue on 2-dimensional tori, Eigenvalue estimate of the basic Dirac operator on a Kähler foliation, Diffeomorphisms and almost complex structures on tori, Twisted representation rings and Dirac induction, Parallel spinors on pseudo-Riemannian \(spin^{c}\) manifolds, On the point spectrum of the Dirac operator on a non-compact manifold, Spin cohomology, Vafa-Witten bound on the complex projective space, Spin\(^{c}\) geometry of Kähler manifolds and the Hodge Laplacian on minimal Lagrangian sub\-manifolds, On \(C^{*}\)-algebras and \(K\)-theory for infinite-dimensional Fredholm manifolds, Holomorphic spectrum of twisted Dirac operators on compact Riemann surfaces, Classification of the Weyl curvature spinors of neutral metrics in four dimensions, Scalar curvature rigidity of almost Hermitian manifolds which are asymptotic to \(\mathbb CH^m\), Differential characters in \(K\)-theory, The Hijazi inequality on manifolds with boundary, Topological symmetry of forms, \(N=1\) supersymmetry and S-duality on special manifolds, Isoparametric foliations on complex projective spaces, An index theorem for end-periodic operators, Models of Free Quantum Field Theories on Curved Backgrounds, Some remarks on the uniqueness of the complex projective spaces, Bi-HKT and bi-Kähler supersymmetric sigma models, Almost even-Clifford hermitian manifolds with a large automorphism group, Quantization for a nonlinear Dirac equation, Positive scalar curvature and product formulas for secondary index invariants, On prolongations of contact manifolds, Hawking radiation for twisted complex scalar fields on the Reissner-Nordström black holes and Dirac monopoles, \(\text{SU}(3)\)-instantons and \(G_{2}\), \(\text{Spin}(7)\)-heterotic string solitons, Charged representations of the infinite Fermi and Clifford algebras, Prescribing eigenvalues of the Dirac operator, Delocalized Chern character for stringy orbifold K-theory, Bochner identities for Kählerian gradients, Regularity theorems and energy identities for Dirac-harmonic maps, Eigenvalues of Dirac operators for hyperbolic degenerations, Generalized complex manifolds and supersymmetry, Chern–Weil Theory for Certain Infinite-Dimensional Lie Groups, Twisted K-theory and obstructions against positive scalar curvature metrics, Surgery and the spectrum of the Dirac operator, Spinc-quantization and the K-multiplicities of the discrete series, On quantum de Rham cohomology theory, The rigidity of Dolbeault-type operators and symplectic circle actions, Aspects of global Riemannian geometry, Wavetrace asymptotics for operators of dirac type, 𝐻-Space structures on spaces of metrics of positive scalar curvature, On spectral theory of random fields in the ball, Some Curvature Problems in Semi-Riemannian Geometry, Differential K-Theory: A Survey, Self-commutator inequalities in higher dimension, The relative eta invariant for a pair of Dirac-type operators on non-compact manifolds, Some Remarks on Equivariant Elliptic Operators and Their Invariants, Flat Vector Bundles and Open Covers, Spectral analysis of the Dirac operator on a 3-sphere, Spectral estimators for finite non-commutative geometries, Transversal Index and L2-index for Manifolds with Boundary, Spectral triples on irreversible C∗-dynamical systems, The Algebra of Gyrogroups: Cayley’s Theorem, Lagrange’s Theorem, and Isomorphism Theorems, Delocalized Eta Invariants, Algebraicity, and K-Theory of Group C*-Algebras, On the space of connections having non-trivial twisted harmonic spinors, Horizontal lifts of projectable linear connection to semi-tangent bundle, Harmonic spinors on a family of Einstein manifolds, New classes of function spaces and singular operators, Space and time dimensions of algebras with application to Lorentzian noncommutative geometry and quantum electrodynamics, Families of spectral triples and foliations of space(time), The KO-valued spectral flow for skew-adjoint Fredholm operators, Unnamed Item, Scalar flat compactifications of Poincaré-Einstein manifolds and applications, De nouvelles formules de Weitzenböck pour des endomorphismes harmoniques. Applications géométriques, (M-theory-)Killing spinors on symmetric spaces, Principal bundles on two-dimensional CW-complexes with disconnected structure group, On mixed Hodge–Riemann relations for translation-invariant valuations and Aleksandrov–Fenchel inequalities, Bulk-edge correspondence and the cobordism invariance of the index, Dynamical symmetries, coherent states and nonlinear realizations: The SO(2,4) case, A Hodge–de Rham Dirac operator on the quantum SU(2), Applications of Parabolic Dirac Operators to the Instationary Viscous MHD Equations on Conformally Flat Manifolds, Higher Order Fermionic and Bosonic Operators, Stability of Riemannian manifolds with Killing spinors, Bott Periodicity, Submanifolds, and Vector Bundles, Relative k-cycles and local elliptic boundary conditions, Multiplicative structures and the twisted Baum-Connes assembly map, Exotic spheres and curvature, Unnamed Item, Conformal immersions of compact Riemann surfaces into the 2n-sphere (n ≥ 2), Liouville theorems for Dirac-harmonic maps, Homotopy invariance of higher signatures and $3$-manifold groups, Platonic and alternatinc 2-groups, Advances in Dixmier traces and applications, Spectral theory of Dirac operators with potentials diverging at infinity, On 5-manifolds admitting rank two distributions of Cartan type, Diagonal lift in the semi-cotangent bundle and its applications, Positive Scalar Curvature on Foliations:The Enlargeability, Some Questions in the Theory of Pseudoholomorphic Curves, Adiabatic Limits, Nonmultiplicativity of Signature, and Leray Spectral Sequence, Unnamed Item, A first-order Lagrangian theory of fields with arbitrary spin, Unnamed Item, An SO(3)-Monopole Cobordism Formula Relating Donaldson and Seiberg–Witten Invariants, Orbifolds and analytic torsions, Index Theory for Perturbed Dirac Operators on Manifolds with Conical Singularities, Generic vanishing for harmonic spinors of twisted Dirac operators, Unnamed Item, A remark on nonlinear Dirac equations, The Gromov-Lawson-Rosenberg conjecture for cocompact Fuchsian groups, Complete, embedded, minimal n‐dimensional submanifolds in ℂⁿ, Proof of the Atiyah–Singer index theorem by canonical quantum mechanics, Extrinsic Upper Bounds for Eigenvalues of Dirac-Type Operators, Virtually spinning hyperbolic manifolds, Index theory for locally compact noncommutative geometries, Energy quantization for a nonlinear sigma model with critical gravitinos, Scalar curvature estimates by parallel alternating torsion, Analyzing the spectral (a)symmetry of the massless Dirac operator on the 3-torus, An explicit realization of spinor spaces and its application to clifford analysis, Spinors as automorphisms of the tangent bundle, A REMARK ON THE STABLE REAL FORMS OF COMPLEX VECTOR BUNDLES OVER MANIFOLDS, Łojasiewicz–Simon gradient inequalities for coupled Yang–Mills energy functions, Applications of noncommutative geometry in function theory and mathematical physics, Spinor sheaves on singular quadrics, Unnamed Item, A lift of the Seiberg–Witten equations to Kaluza–Klein five-manifolds, Linear Wave Equations, Yang-Mills connections on orientable and nonorientable surfaces, Short-time existence of the α-Dirac-harmonic map flow and applications, On hyper Kähler manifolds associated to Lagrangian Kähler submanifolds of $T^\ast \mathbb \{C\}^n$, DIRAC OPERATORS ON ORIENTIFOLDS, Morse theory for the Yang-Mills functional via equivariant homotopy theory, Pseudofree $\mathbb {Z}/3$-actions on $K3$ surfaces, Automorphism groups of simply reducible groups, Graded lagrangian submanifolds, Spinorial classification of Spin(7) structures, The Yamabe invariant, Structures de Weyl admettant des spineurs parallèles, DIRAC OPERATORS ON LIE ALGEBROIDS, Orbifold Submersion and Analytic Torsions, Traces on algebras of parameter dependent pseudodifferential operators and the eta–invariant, S.-S. Chern’s study of almost-complex structures on the six-sphere, Unnamed Item, Which finite groups act smoothly on a given 4-manifold?, On the Jacobi group and the mapping class group of $S^3\times S^3$, Principal \(\infty\)-bundles and smooth string group models, Positive scalar curvature on manifolds with fibered singularities, Spinors in 2022, Feynman-Kac formula for perturbations of order \(\leq 1\), and noncommutative geometry, A Poincaré formula for differential forms and applications, The geometrically nonlinear Cosserat micropolar shear–stretch energy. Part II: Non‐classical energy‐minimizing microrotations in 3D and their computational validation***, \( \text{Spin}^c\)-structures and Seiberg-Witten equations, On Poisson transforms for spinors, Relative torsion and bordism classes of positive scalar curvature metrics on manifolds with boundary, Dirac cohomology on manifolds with boundary and spectral lower bounds, Sequential Measurements, Topological Quantum Field Theories, and Topological Quantum Neural Networks, A variational analysis of the spinorial Yamabe equation on product manifolds, Existence results for a super Toda system, Kodaira dimensions of almost complex manifolds, I, Limiting case of the spin hypersurface Dirac operator arising in the positive mass theorem for black holes, Some properties of diagonal lifts in semi-cotangent bundles, A quantitative relative index theorem and Gromov's conjectures on positive scalar curvature (with an appendix by Jinmin Wang and Zhizhang Xie), Almost Robinson geometries, Invariant spinors on homogeneous spheres, On gap rigidity problems for compact Hermitian symmetric spaces, Canonical orientations for moduli spaces of \(G_2\)-instantons with gauge group \(\mathrm{SU}(m)\) or \(\mathrm{U}(m)\), Eigenvalue estimate for the Dirac-Witten operator on locally reducible Riemannian manifolds, Topological strings on non-commutative resolutions, An extended variational formula for the Bismut-Cheeger eta form and its applications, New Bochner type theorems, Codes, vertex operators and topological modular forms, Pin(2)-equivariance property of the Rarita-Schwinger-Seiberg-Witten equations, Solutions of spinorial Yamabe-type problems on 𝑆^{𝑚}: Perturbations and applications, L‐theory of C∗$C^*$‐algebras, Matrix factorizations, Reality and Knörrer periodicity, On the structure and representation theory of \(q\)-deformed Clifford algebras, Extremality and rigidity for scalar curvature in dimension four, Quantum holographic surface anomalies, Four-dimensional vector multiplets in arbitrary signature (I), Four-dimensional vector multiplets in arbitrary signature (II), A pseudodifferential analytic perspective on Getzler's rescaling, CR-twistor spaces over manifolds with \(G_2\)- and spin(7)-structures, The Morse index of minimal products of minimal submanifolds in spheres, On pull-back bundle of tensor bundles defined by projection of the cotangent bundle, Dirac operators for matrix algebras converging to coadjoint orbits, Scalar curvature rigidity of convex polytopes, Generalization of Kim's estimates in terms of the trace of divergence‐free symmetric tensor, The Dirac equation on metrics of Eguchi-Hanson type II with negative constant scalar curvature, Covariant star product on semi-conformally flat noncommutative Calabi–Yau manifolds and noncommutative topological index theorem, A note on the spectrum of magnetic Dirac operators, On the space of initial values strictly satisfying the dominant energy condition, On the space of Riemannian metrics satisfying surgery stable curvature conditions, Holomorphic family of Dirac-Coulomb Hamiltonians in arbitrary dimension, The emergence of noncommutative potential theory, Magnetic fields on non-singular 2-step nilpotent Lie groups, Homogeneous Sasakian and 3-Sasakian structures from the spinorial viewpoint, A uniqueness result for the Calderón problem for \(U(N)\)-connections coupled to spinors, Superconnection and family Bergman kernels, Hypoelliptic Laplacian and twisted trace formula, Examples of Simply Reducible Groups, A new approach to matrix isomorphisms of complex Clifford algebras via Cantor set, The fermionic integral on loop space and the Pfaffian line bundle, Approximate and discrete Euclidean vector bundles, Review and concrete description of the irreducible unitary representations of the universal cover of the complexified Poincaré group, Dirichlet Forms on Noncommutative Spaces, SEIBERG-WITTEN-LIKE EQUATIONS ON THE STRICTLY PSEUDOCONVEX CR-3 MANIFOLDS, The two definitions of the index difference, Spin\(^h\) manifolds, Positive scalar curvature on simply connected spin pseudomanifolds, Analytic definition of spin structure, Differential calculus on manifolds with boundary applications, Dirac operators on the S3 and S2 spheres, Étale Steenrod operations and the Artin–Tate pairing, Quantum Differentials and Function Spaces, Introduction to $$\mathrm {G}_2$$ Geometry, Calibrated Submanifolds in $$G_{2}$$ Geometry, Transversality for the moduli space of Spin(7)-instantons, Adiabatic limit in the Ginzburg-Landau and Seiberg-Witten equations, Homogeneous 8-manifolds admitting invariant Spin(7)-structures, Callias-type operators in C∗-algebras and positive scalar curvature on noncompact manifolds, Local index theory and the Riemann–Roch–Grothendieck theorem for complex flat vector bundles, Spinors on Singular Spaces and the Topology of Causal Fermion Systems, Bochner-Weitzenböck formulas and curvature actions on Riemannian manifolds, On a class of magnetic Schrödinger operators with discrete spectrum, Moduli space of metrics of nonnegative sectional or positive Ricci curvature on homotopy real projective spaces, Characteristic numbers of manifold bundles over surfaces with highly connected fibers, Totally umbilical hypersurfaces of Spinc manifolds carrying special spinor fields, Existence results for a super-Liouville equation on compact surfaces, Moduli Spaces of Metrics of Positive Scalar Curvature on Topological Spherical Space Forms, Classification of first order sesquilinear forms, K-cycles for twisted K-homology, Completions and homomorphisms of infinite dimensional Cayley–Dickson algebras, Solutions of D = 4 gauged pseudo-supergravity, Harmonic spinors on the Davis hyperbolic 4-manifold, A spinorial proof of the rigidity of the Riemannian Schwarzschild manifold, The Atiyah–Singer index theorem, Lectures on four-manifolds and topological gauge theories, Smooth group actions on 4-manifolds and Seiberg-Witten theory, Abelian hypercomplex structures on central extensions of \(H\)-type Lie algebras., Spinor-valued and Clifford algebra-valued harmonic polynomials, The Einstein-Dirac equation on Sasakian 3-manifolds., Adinkras for mathematicians, Actions of $K(\pi ,n)$ spaces on $K$-theory and uniqueness of twisted $K$-theory, Eigenvalue estimates for the Dirac-Schröder operators, D-branes and \(\text{Spin}^c\) structures, Twisted spinors on Schwarzschild and Reissner-Nordström black holes, Gauge spinors and string duality., The topology of the AdS/CFT/Randall-Sundrum complementarity, Lower bounds for contraction constants of non-zero degree mappings onto the sphere, Minimality of the data in wavelet filters (with an appendix by Brian Treadway), Equivalence of Sobolev spaces, 8-dimensional manifolds with \(S^3\times S^3\) actions, On \(\text{Spin}(8)\) and triality: A topological approach, Heat equation derivative formulas for vector bundles, Non-contractible Periodic Orbits in Hamiltonian Dynamics on Closed Symplectic Manifolds, Torelli spaces of high-dimensional manifolds, A positive cosmological constant in string theory through AdS/CFT wormholes, The first eigenvalue of the transversal Dirac operator, On boundary value problems for Dirac type operators. I: Regularity and self-adjointness, \(\widehat A\)-genus and collapsing., Families index theory for Overlap lattice Dirac operator. I, M-theory on Spin(7) manifolds, Dependence on the spin structure of the eta and Rokhlin invariants, Localization of the Riemann-Roch character, Codimension two index obstructions to positive scalar curvature, Spectral triples on proper étale groupoids, Green’s functions, Biot-Savart operators, and linking numbers on negatively curved symmetric spaces, On characteristic numbers of 24 dimensional string manifolds, THE EXISTENCE OF SOME METRICS ON RIEMANNIAN WARPED PRODUCT MANIFOLDS WITH FIBER MANIFOLD OF CLASS (B), Topology change and selection rules for high-dimensional $\mathrm {Spin}(1, n)_0$-Lorentzian cobordisms, Algebraic backgrounds for noncommutative Kaluza-Klein theory. I. Motivations and general framework, Introduction to Heegaard Floer homology, The spectrum of twisted Dirac operators on compact flat manifolds, Equivariant APS index for Dirac operators of non-product type near the boundary, The graded differential geometry of mixed symmetry tensors, Seiberg-Witten theory with SpinH structure, Generalized connections, spinors, and integrability of generalized structures on Courant algebroids, FACTORISATION OF EQUIVARIANT SPECTRAL TRIPLES IN UNBOUNDED -THEORY, A PERTURBATION AND GENERIC SMOOTHNESS OF THE VAFA–WITTEN MODULI SPACES ON CLOSED SYMPLECTIC FOUR-MANIFOLDS, Adinkra height yielding matrix numbers: Eigenvalue equivalence classes for minimal four-color adinkras, On filtration of Clifford 𝒜-algebras and localization of 𝒜-modules, Riesz continuity of the Atiyah–Singer Dirac operator under perturbations of local boundary conditions, Rigidity and vanishing theorems on ℤ/𝕜 Spin^{𝕔} manifolds, Mod 3 congruence and twisted signature of 24 dimensional string manifolds, A geometric formula for multiplicities of 𝐾-types of tempered representations, Charged conformal Killing spinors, Quantisation of presymplectic manifolds, $K$-theory and group representations, Variations in noncommutative potential theory: Finite-energy states, potentials and multipliers, Taubes’s proof of the Weinstein conjecture in dimension three, Spinor pairs and the concentration principle for Dirac operators, Coarse geometry and Callias quantisation, Enlargeable metrics on nonspin manifolds, String^{𝑐} structures and modular invariants, Hadamard states for quantized Dirac fields on Lorentzian manifolds of bounded geometry, On the degenerate pin groups, Elliptic boundary value problem on non-compact G-manifolds, Harmonic forms on asymptotically ADS metrics, Estimation on the Spin${}^c$ twisted Dirac operators, The bulk–dislocation correspondence for weak topological insulators on screw–dislocated lattices

Retrieved from "https://portal.mardi4nfdi.de/w/index.php?title=Publication:3995493&oldid=17684524"