Equivariant K-theory

From MaRDI portal

Publication:2540530

Jump to:navigation, search

DOI10.1007/BF02684593zbMath0199.26202WikidataQ105519222 ScholiaQ105519222MaRDI QIDQ2540530

Graeme B. Segal

Publication date: 1968

Published in: Publications Mathématiques (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=PMIHES_1968__34__129_0

zbMATH Keywords

Mathematics Subject Classification ID

Equivariant homology and cohomology in algebraic topology (55N91) Equivariant (K)-theory (19L47)

Related Items

Equivariant \(K\)-theory of toric orbifolds, Equivariant K-theory and representations of Hecke algebras. II, Proof of the Deligne-Langlands conjecture for Hecke algebras, Quasi-elliptic cohomology and its power operations, Naive-commutative ring structure on rational equivariant \(K\)-theory for abelian groups, Algebraic realization for simple groups, Torus actions, fixed-point formulas, elliptic genera and positive curvature, Vector bundles of non-negative curvature over cohomogeneity one manifolds, Algebraic realization problems for low dimensional \(G\) manifolds, The completion problem for equivariant \(K\)-theory, Lefschetz-Riemann-Roch theorem and coherent trace formula, Nilpotence and descent in equivariant stable homotopy theory, Equivariant algebraic vs. topological K-homology Atiyah-Segal-style, Discrete Nahm equations for \(\mathrm{SU}(N)\) hyperbolic monopoles, Algebraic torus actions on contact manifolds, On the \(K\)-theory of the projective symplectic groups, Equivariant Toeplitz index theory on odd-dimensional manifolds with boundary, Biquotient vector bundles with no inverse, Riemann-Roch formulas for the Atiyah-Patodi-Singer \(\bmod\, k\) spectral flow and application to \(\bmod\, k\) index theory, On the completion of equivariant \(K\)-theory, Twisted equivariant matter, Equivariant geometric K-homology for compact Lie group actions, Equivariant \(K\)-theory of divisive torus orbifolds, Strongly algebraic realization of dihedral group actions, Filtrations of global equivariant \(K\)-theory, Bourgin-Yang version of the Borsuk-Ulam theorem for \(\mathbb Z_{p^{k}}\)-equivariant maps, An equivariant Lefschetz formula for finite reductive groups, Aktionen kompakter Liegruppen auf lokalen Räumen, The module structure of the equivariant \(K\)-theory of the based loop group of \(SU(2)\), A geometric proof of the Atiyah-Patodi-Singer mod \(k\) index theorem for Dirac operators, On the equivalence of integral \(T^k\)-cohomology Chern numbers and \(T^k\)-\(K\)-theoretic Chern numbers, A reconstruction theorem for Connes-Landi deformations of commutative spectral triples, Ramond-Ramond fields, fractional branes and orbifold differential K-theory, Noncommutative complex structures on quantum homogeneous spaces, Arrows, symmetries and representation rings, Character formulæ and GKRS multiplets in equivariant \(K\)-theory, Homotopy rigidity of linear actions on homogeneous spaces, Structure and \(K\)-theory of crossed products by proper actions, The Künneth theorem in equivariant \(K\)-theory for actions of a cyclic group of order 2, Differential \(K\)-theory and localization formula for \(\eta \)-invariants, Equivariant complex bundles, fixed points and equivariant unitary bordism, Der Conner-Floyd-Isomorphismus für Abelsche Gruppen, On equivariant Euler characteristics, The Atiyah-Segal completion theorem for \(C^*\)-algebras, The spectrum of equivariant K-theory, Equivariant K-theory and forms over twisted group rings, Homotopy representations of the torus, Elliptic complexes on manifolds with boundary, Partition functions for quantum gravity, black holes, elliptic genera and Lie algebra homologies, Classification of ``real Bloch-bundles: topological quantum systems of type AI, Algebraic cycles and completions of equivariant \(K\)-theory, Equivariant twisted real \(K\)-theory of compact Lie groups, Nonnegative curvature on stable bundles over compact rank one symmetric spaces, Fourier transform and the Iwahori-Matsumoto involution, The rank of a quiver representation., Characteristic classes of fiberwise branched surface bundles via arithmetic groups, Twisted \(K\)-theory, real \(A\)-bundles and Grothendieck-Witt groups, Equivariant algebraic \(K\)-theory of \(G\)-rings, Higher \(G\)-signatures for Lipschitz manifolds, Twisted orbifold K-theory for global quotient, Endotrivial representations of finite groups and equivariant line bundles on the Brown complex, Characteristic classes of Q-manifolds: classification and applications, Equivariant semialgebraic vector bundles, A Lefschetz formula in equivariant algebraic \(K\)-theory, Twisted \(K\)-theory for actions of Lie groupoids and its completion theorem, The equivariant analytic index for proper groupoid actions, A family index theorem for periodic Hamiltonian systems and bifurcation, Logarithmic trace and orbifold products, On Poincaré 3-complexes with binary polyhedral fundamental group, ``Lagrangian construction for representations of Hecke algebras, Cyclic homology and equivariant theories, Quasi-elliptic cohomology. I, Toric vector bundles: GAGA and Hodge theory, The loop orbifold of the symmetric product, Roe \(C^*\)-algebra for groupoids and generalized Lichnerowicz vanishing theorem for foliated manifolds, Geometric modules over the Burnside ring, Cobordisms in problems of algebraic topology, Vafa's formula and equivariant \(K\)-theory, Equivariant Hirzebruch class for singular varieties, Homotopy colimits of classifying spaces of abelian subgroups of a finite group, Equivariant \(K\)-theory and Alperin's conjecture, A new proof of an index theorem of Freed and Melrose, Modules over convolution algebras from equivariant derived categories. I, Dominant \(K\)-theory and integrable highest weight representations of Kac-Moody groups, A Bott periodicity theorem for infinite dimensional Euclidean space, Equivariant fundamental classes in RO\((C_2)\)-graded cohomology with \(\mathbb{Z}/2\)-coefficients, Comparison of equivariant algebraic and topological K-theory, Bundles of \(C^*\)-categories. II: \(C^*\)-dynamical systems and Dixmier-Douady invariants, On family rigidity theorems. I, Non-negatively curved GKM orbifolds, Equivariant \(K\)-theory, wreath products, and Heisenberg algebra, The stable converse soul question for positively curved homogeneous spaces, D-branes in orbifold singularities and equivariant \(K\)-theory., Brane descent relations in \(K\)-theory, On the completion of the G-equivariant unitary cobordism rings of G- spaces, On the equivariant J-groups. I, Equivariant K-theory for curves, On extensions of representations for compact Lie groups, Orders of elements of equivariant \(J\)-groups of complex projective spaces, Localization in equivariant bordisms, Spinc-quantization and the K-multiplicities of the discrete series, Vector bundles over Davis-Januszkiewicz spaces with prescribed characteristic classes, On equivariant homotopy equivalences, Unnamed Item, Bundles of \(C^{*}\)-categories, Index of the transversally elliptic complex in Pestunization, Equivariant K-theory, groupoids and proper actions, Transversal Index and L2-index for Manifolds with Boundary, Enough vector bundles on orbispaces, Unnamed Item, Splines and index theorem, Rational smoothness, cellular decompositions and GKM theory, Quaternionic algebraic cycles and reality, Higher $G$-indices and applications, Représentations de groupes quantiques et permutations, Twisted equivariant K-theory of compact Lie group actions with maximal rank isotropy, On a conjecture of Dao-Kurano, On the length of cohomology spheres, Equivariant cyclic homology and equivariant differential forms, Algebraic realization of actions of some finite groups, On theKO_ℤ/2-Euler class, I, Hirzebruch class and Białynicki-Birula decomposition, Orbifold \(K\)-theory and Chen-Ruan cohomology, Bulk-edge correspondence and the cobordism invariance of the index, \(C_2\)-equivariant topological modular forms, Torsion in the full orbifold \(K\)-theory of abelian symplectic quotients, A Fixed point theorem for periodic maps on locally symmetric manifolds, Segal's Spectral Sequence in Twisted Equivariant K-theory for Proper and Discrete Actions, Generalized Artin and Brauer induction for compact Lie groups, An equivariant Poincaré duality for proper cocompact actions by matrix groups, Real \(K\)-theories, A decomposition of equivariant K-theory in twisted equivariant K-theories, Equivariant Vector Fields on Spheres, Thom isomorphism and push-forward map in twisted K-theory, \(K\)-theory of equivariant quantization, Twisted geometric K-homology for proper actions of discrete groups, Characteristic Classes of Orbit Stratifications, the Axiomatic Approach, Integral structure for simple singularities, GKM theory for orbifold stratified spaces and application to singular toric varieties, Equivariant dimensions of graph \(C^\ast\)-algebras, Idempotent characters and equivariantly multiplicative splittings of K‐theory, Equivariant Hodge theory and noncommutative geometry, Eilenberg-Mac Lane spectra as equivariant Thom spectra, The Witt group of real surfaces, Symmetries of the \(C^\ast \)-algebra of a vector bundle, Equivariant K-theory and Resolution I: Abelian Actions, K-theoretic exceptional collections at roots of unity, On the Fredholm Lagrangian Grassmannian, spectral flow and ODEs in Hilbert spaces, A model for the classifying space of an extra special p ‐group, Equivariant eta forms and equivariant differential \(K\)-theory, Operator 𝐾-theory for groups which act properly and isometrically on Hilbert space, A model for the classifying space of an extra special p ‐group, Characteristic cohomotopy classes for families of 4-manifolds, Equivariant Characteristic Classes of Singular Complex Algebraic Varieties, Motivic Chern classes of configuration spaces, Twisted K-theory of differentiable stacks, Group homomorphisms inducing an isomorphism of a functor, The Atiyah–Singer index theorem, Twisted equivariant \(K\)-theory for proper actions of discrete groups, \(K\)-theory and the quantization commutes with reduction problem, A variant of \(K\)-theory and topological T-duality for real circle bundles, Universal Equivariant Bundles, Equivariant cohomology and stable cohomotopy, Twisted representation rings and Dirac induction, A Lefschetz fixed-point formula for certain orbifold C*-algebras, Equivariant \(K\)-theory of Bott towers. Application to the multiplicative structure of the equivariant \(K\)-theory of flag varieties, Surjectivity for Hamiltonian 𝐺-spaces in 𝐾-theory, Equivariant K-theory of quaternionic flag manifolds, Equivariant \(K\)-theory of quasitoric manifolds, Higher Algebraic K-Theory, On the intersection forms of spin four-manifolds with boundary, Homotopy rigidity of linear actions: characters tell all, Generalized group characters and complex oriented cohomology theories, Characteristic fixed-point sets of semifree actions on spheres, \(K\)-theory of affine actions, Multicurves and equivariant cohomology, The Equivariant Conner-Floyd Isomorphism, Stringy product on twisted orbifold K-theory for abelian quotients, Real embedding and equivariant eta forms, Lokalisierung äquivarianter Kohomologie-Theorien. (Localization of equivariant cohomology theories.), Periodische Abbildungen unitärer Mannigfaltigkeiten. (Periodic mappings of unitary manifolds), The periodicity theorem for the classical groups and some of its applications, Orbittypen und äquivariante Homologie. I, Equivariant homology and Mackey functors, Quantization of the modular functor and equivariant elliptic cohomology, GAUGE-EQUIVARIANT HILBERT BIMODULES AND CROSSED PRODUCTS BY ENDOMORPHISMS, K-theory of lens-like spaces and S\(^1\)- actions on \(S^{2m+1} \times S^{2n+1}\), Homotopy decompositions of equivariant function spaces. II: Function spaces of equivariantly triangulated spaces, G-theory of root stacks and equivariant \(K\)-theory, Morse theory for the Yang-Mills functional via equivariant homotopy theory, Representations of étale Lie groupoids and modules over Hopf algebroids, Differential \(K\)-theory, \(\eta\)-invariant, and localization, Nonabelian localization in equivariant \(K\)-theory and Riemann --- Roch for quotients, Nonlinear analogs of linear group actions on spheres, Torus manifolds in equivariant complex bordism, Quiver gauge theory of non-Abelian vortices and noncommutative instantons in higher dimensions, The homotopy type of hyperbolic monopole orbit spaces, \(\operatorname{Pin}(2)\)-equivariant \(\mathrm{KO}\)-theory and intersection, Modular Invariants and Twisted Equivariant K-theory II: Dynkin diagram symmetries, The elliptic Weyl character formula, Rokhlin-type properties of group actions on operator algebras, The Euler characteristic of a transitive Lie algebroid, Derived equivalences of hyperkähler varieties, Stratified vector bundles: examples and constructions, Genuine‐commutative structure on rational equivariant K$K$‐theory for finite abelian groups, Equivariant algebraic \(K\)-theory, \(G\)-theory and derived completions, Equivariant \(K\)-theory of Springer varieties, Proper Equivariant Stable Homotopy Theory, Equivariant cross sections of complex Stiefel manifolds, Dirichlet branes on a Calabi-Yau three-fold orbifold., Dirichlet branes on orbifolds, POINCARÉ DUALITY FORK-THEORY OF EQUIVARIANT COMPLEX PROJECTIVE SPACES, Localization of the Riemann-Roch character, Colorings of simplicial complexes and vector bundles over Davis-Januszkiewicz spaces, Twisted equivariantK-theory with complex coefficients, Geometric realizations and duality for Dahmen-Micchelli modules and De Concini-Procesi-Vergne modules, KO-rings of full flag varieties, Coquasitriangular structures on Hopf quivers

Cites Work

Retrieved from "https://portal.mardi4nfdi.de/w/index.php?title=Publication:2540530&oldid=15275753"