The higher twisted index theorem for foliations

DOI10.1016/j.jfa.2017.03.009zbMath1402.58017arXiv1607.04248OpenAlexW2964119117MaRDI QIDQ529374

Alexander Gorokhovsky, Eric Leichtnam, Moulay Tahar Benameur

Publication date: 18 May 2017

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.04248

zbMATH Keywords

foliationgroupoidsuperconnectiontwisted \(K\)-theorygerbefamily index

Mathematics Subject Classification ID

Exotic index theories on manifolds (58J22) Foliations (differential geometric aspects) (53C12) Miscellaneous applications of (K)-theory (19M05) Topological groupoids (including differentiable and Lie groupoids) (22A22) Equivariant (K)-theory (19L47) Index theory (19K56)

Related Items (3)

Hierarchies of holonomy groupoids for foliated bundles ⋮ The holonomy groupoids of singularly foliated bundles ⋮ The Higson-Roe sequence for étale groupoids. II: The universal sequence for equivariant families

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Group cohomology and the cyclic cohomology of crossed products
• Twisted longitudinal index theorem for foliations and wrong way functoriality
• On a generalised Connes-Hochschild-Kostant-Rosenberg theorem
• Differential twisted K-theory and applications
• Superconnections and the Chern character
• The longitudinal index theorem for foliations
• The Atiyah-Singer index theorem for families of Dirac operators: Two heat equation proofs
• The analysis of elliptic families. II: Dirac operators, êta invariants, and the holonomy theorem
• Curvature and characteristic classes
• Infinitesimal computations in topology
• Cyclic cohomology of étale groupoids: The general case
• Cyclic cohomology of etale groupoids
• Cyclic cohomology, the Novikov conjecture and hyperbolic groups
• Algebraic index theorem for families
• Cyclic cocycles on twisted convolution algebras
• Characters of cycles, equivariant characteristic classes and Fredholm modules
• Analysis of gauge-equivariant complexes and a topological index theorem for gauge-invariant families
• The index of projective families of elliptic operators
• Bivariant Chern character and longitudinal index
• Graded Brauer groups and K-theory with local coefficients
• The index of elliptic operators. IV, V
• Differential geometry of gerbes
• Deformation quantization of gerbes
• Twisted K-theory of differentiable stacks
• Riemann-Roch and index formulae in twisted K-theory
• Bundle Gerbes: Stable Isomorphism and Local Theory
• Index Theory and Non-Commutative Geometry II. Dirac Operators and Index Bundles
• Compactly supported analytic indices for Lie groupoids
• Local index theory over étale groupoids
• TWISTED INDEX THEORY ON GOOD ORBIFOLDS, I: NONCOMMUTATIVE BLOCH THEORY
• Higher spectral flow and an entire bivariant JLO cocycle
• Bundle Gerbes
• Champs continus d'espaces hilbertiens et de $C^*$-algèbres
• Loop spaces, characteristic classes and geometric quantization
• Twisted index theory on good orbifolds. II: Fractional quantum numbers

This page was built for publication: The higher twisted index theorem for foliations