Bordism for the 2-group symmetries of the heterotic and CHL strings

DOI10.1090/CONM/802/16079MaRDI QIDQ6607610

Arun Debray

Publication date: 18 September 2024

Mathematics Subject Classification ID

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Cites Work

• [https://portal.mardi4nfdi.de/wiki/Publication:3213902 Pin and Pin � Cobordism]
• On the Cobordism Ring Ω ∗ and a Complex Analogue, Part I
• Characteristic Classes and Homogeneous Spaces, I
• Applications of the Theory of Morse to Symmetric Spaces
• Twisted Morava K-theory and E-theory
• The Classifying Space of a Topological 2-Group
• The Torsion Pontryagin Classes
• Bordism of Manifolds with Oriented Boundaries
• On (U, Sp) Bordism
• COBORDISM OF SPIN MANIFOLDS WITH INVOLUTION
• mod p WU Formulas for the Steenrod Algebra and the Dyer-Lashof Algebra
• Normal structures and bordism theory, with applications to 𝑀𝑆𝑝_{*}
• The Immersion Conjecture for RP 8l+7 is False
• The line bundles on the moduli of parabolic G-bundles over curves and their sections
• Maximally Supersymmetric String Theories in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="italic">D</mml:mi><mml:mi /><mml:mo><</mml:mo><mml:mi /><mml:mn>10</mml:mn></mml:math>
• The semispin groups in string theory
• On cobordism of manifolds with corners
• Higher Symmetry and Gapped Phases of Gauge Theories
• The Cohomology of BSO n and BO n with Integer Coefficients
• The 7-Connected Cobordism Ring at p = 3
• Consistency of M-Theory on Non-Orientable Manifolds
• Twisted cohomotopy implies twisted string structure on M5-branes
• The Adams Spectral Sequence for Topological Modular Forms
• Topological modular forms and the absence of a heterotic global anomaly
• Twisted spin cobordism and positive scalar curvature
• Some comments on 6D global gauge anomalies
• A guide for computing stable homotopy groups
• A Higher Stacky Perspective on Chern–Simons Theory
• Ninebrane structures
• THE UNIVERSAL  -INVARIANT FOR MANIFOLDS WITH BOUNDARY
• Bundle Gerbes
• Champs continus d'espaces hilbertiens et de $C^*$-algèbres
• On the Chern Classes of Representations of Finite Groups
• The cohomology of the Steenrod algebra; stable homotopy groups of spheres
• The 3-local 𝑡𝑚𝑓-homology of 𝐵Σ₃
• Higher Topos Theory (AM-170)
• Poincare Duality and Cobordism
• THE NONIMMERSION PROBLEM FOR RP ⁿ AND HIGHER-ORDER COHOMOLOGY OPERATIONS
• On the Cohomology of Some Hopf Algebras
• On the 3-Type of a Complex
• SUR LES GROUPES D'EILENBERG-MAC LANE. II
• H4(Co0; Z) = Z/24
• String^{𝑐} structures and modular invariants
• Loop spaces, characteristic classes and geometric quantization
• On the Adams spectral sequence for \(R\)-modules
• \(\mathbb{A}^1\)-homotopy theory of schemes
• Universal homotopy theories
• Toric 2-group anomalies via cobordism
• The anomaly that was not meant IIB
• The topological modular forms of RP2$\mathbb {R}P^2$ and RP2∧CP2$\mathbb {R}P^2 \wedge \mathbb {C}P^2$
• Disconnected 0-form and 2-group symmetries
• Flat equivariant gerbes: holonomies and dualities
• Topological modular forms and the absence of all heterotic global anomalies
• The discrete Green-Schwarz mechanism in 6D F-theory and elliptic genera of non-critical strings
• A note on the canonical formalism for gravity
• Differential cohomology theories as sheaves of spectra
• Four equivalent versions of nonabelian gerbes
• Twisted differential string and fivebrane structures
• The Cayley plane and string bordism
• Secondary invariants for string bordism and topological modular forms
• Relative Thom spectra via operadic Kan extensions
• Central extensions of smooth 2-groups and a finite-dimensional string 2-group
• Topological quantum field theories
• Generalized Witten genus and vanishing theorems
• Triples, fluxes, and strings
• Homeomorphism classification of complex projective complete intersections of dimensions 5, 6 and 7
• Classes de Stiefel-Whitney de formes quadratiques et de représentations galoisiennes réelles
• Determination of the cobordism ring
• Homology of the infinite symmetric group
• Twisted Cohomotopy implies M-theory anomaly cancellation on 8-manifolds
• A modular description of the \(K(2)\)-local sphere at the prime 3
• Symmetry enhancements in 7d heterotic strings
• Nerves and classifying spaces for bicategories
• Homology with local coefficients and characteristic classes
• On the twisted \(K\)-homology of simple Lie groups
• String compactifications on Calabi-Yau stacks
• Geometric cycles, index theory and twisted \(K\)-homology
• The homotopy of MString and \(MU\langle 6\rangle\) at large primes
• Equivariant stable homotopy theory. With contributions by J. E. McClure
• On the spin bordism of \(B(E_ 8\times{} E_ 8)\)
• Universal coefficient sequences for cohomology theories of CW-spectra
• Topology of Dupin hypersurfaces with six distinct principal curvatures
• On flux quantization in \(M\)-theory and the effective action
• Ten-dimensional Maxwell-Einstein supergravity, its currents, and the issue of its auxiliary fields
• On the integral cohomology of wreath products
• Tori detect invertibility of topological field theories
• Exploring 2-group global symmetries
• Parametrized spectra, multiplicative Thom spectra and the twisted Umkehr map
• M-Theory, type IIA superstrings, and elliptic cohomology
• A new twist on heterotic string compactifications
• Anomalies in string theory with D-branes
• Heterotic and type I string dynamics from eleven dimensions
• Strong coupling expansion of Calabi-Yau compactification
• Eleven-dimensional supergravity on a manifold with boundary
• Topological classification of 4-dimensional complete intersections
• Čech cocycles for differential characteristic classes: an \(\infty \)-Lie theoretic construction
• Symmetries and anomalies of \((1+1)d\) theories: 2-groups and symmetry fractionalization
• Exploring the landscape of CHL strings on \(T^d\)
• Spin structures and baby universes
• Higher anomalies, higher symmetries, and cobordisms. I: Classification of higher-symmetry-protected opological states and their boundary fermionic/bosonic anomalies via a generalized cobordism theory
• Cobordism conjecture, anomalies, and the String Lamppost Principle
• Reflection positivity and invertible topological phases
• Outer automorphism anomalies
• Freezing of gauge symmetries in the heterotic string on \(T^4\)
• \(E_9\) symmetry in the heterotic string on \(S^1\) and the weak gravity conjecture
• Global anomalies in \(8d\) supergravity
• The string bordism of \(BE_{8}\) and \(BE_{8} \times BE_{8}\) through dimension 14
• Twisted iterated algebraic \(K\)-theory and topological T-duality for sphere bundles
• From loop groups to 2-groups
• On 2-group global symmetries and their anomalies
• Relative quantum field theory
• Setting the quantum integrand of M-theory
• Quadratic functions in geometry, topology, and \(M\)-theory
• GLSMs for gerbes (and other toric stacks)
• The \(E_8\) moduli 3-stack of the C-field in M-theory
• Clifford modules
• The structure of the Spin cobordism ring
• The relation of cobordism to K-theories
• The cohomology of restricted Lie algebras and of Hopf algebras
• Pin cobordism and related topics
• Graded Brauer groups and K-theory with local coefficients
• Equivariant \(K\)-theory and completion
• The Adams conjecture
• On \( < 8 > \) -cobordism
• Cobordism of line budles with a relation
• Relationships between the Adams spectral sequences and Toda's calculations of the stable homotopy groups of spheres
• On generalized Dold manifolds
• Cohomologie modulo 2 des complexes d'Eilenberg-MacLane
• On the homotopy groups of spheres and rotation groups
• Nothing is certain in string compactifications
• Twisted Morava \(K\)-theory and connective covers of Lie groups
• Open-closed correspondence of K-theory and cobordism
• Dynamical cobordism of a domain wall and its companion defect 7-brane
• Heterotic global anomalies and torsion Witten index
• New supersymmetric string theories from discrete theta angles
• Cobordism, singularities and the Ricci flow conjecture
• New supersymmetric string moduli spaces from frozen singularities
• On the telescopic homotopy theory of spaces
• Notes on generalized global symmetries in QFT
• String connections and Chern-Simons theory
• Chern-Weil forms and abstract homotopy theory
• ANOMALIES OF E₈ GAUGE THEORY ON STRING MANIFOLDS
• An ∞-categorical approach to R -line bundles, R -module Thom spectra, and twisted R -homology
• Units of ring spectra, orientations, and Thom spectra via rigid infinite loop space theory
• GEOMETRIC AND TOPOLOGICAL STRUCTURES RELATED TO M-BRANES II: TWISTED STRING AND STRING^CSTRUCTURES
• Periodic Phenomena in the Classical Adams Spectral Sequence
• An Introduction to Bundle Gerbes
• Consistent Orientation of Moduli Spaces
• TWISTED TOPOLOGICAL STRUCTURES RELATED TO M-BRANES
• Survey of mathematical foundations of QFT and perturbative string theory
• Spin structures and superstrings
• TWISTED TOPOLOGICAL STRUCTURES RELATED TO M-BRANES II: TWISTED Wu ANDWu^cSTRUCTURES
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Related Items (2)

Constraints on the topology of type IIB string theory ⋮ A T-duality of non-supersymmetric heterotic strings and an implication for topological modular forms

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