The index of projective families of elliptic operators

DOI10.2140/gt.2005.9.341zbMath1083.58021arXivmath/0206002OpenAlexW2154412912MaRDI QIDQ2388841

I. M. Singer, Varghese Mathai, Richard B. Melrose

Publication date: 20 September 2005

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0206002

zbMATH Keywords

twisted \(K\)-theoryfamilies index theoremprojective vector bundles

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Exotic index theories on manifolds (58J22) Index theory (19K56)

Related Items (20)

\(T\)-duality: topology change from \(H\)-flux ⋮ Deformation quantization of gerbes ⋮ Index of projective elliptic operators ⋮ Fluxes, bundle gerbes and 2-Hilbert spaces ⋮ Twisted index theory for foliations ⋮ The Clifford algebra bundle on loop space ⋮ Twisted longitudinal index theorem for foliations and wrong way functoriality ⋮ On finiteness conditions in twisted \(K\)-theory ⋮ Thom isomorphism and push-forward map in twisted K-theory ⋮ Twisted \(K\)-theory constructions in the case of a decomposable Dixmier-Douady class. II: Topological and equivariant models ⋮ Objective B-fields and a Hitchin-Kobayashi correspondence ⋮ A generalization of the topological Brauer group ⋮ Geometric cycles, index theory and twisted \(K\)-homology ⋮ The higher twisted index theorem for foliations ⋮ An index for gauge-invariant operators and the Dixmier-Douady invariant ⋮ D-branes, RR-fields and duality on noncommutative manifolds ⋮ Index character associated with the projective Dirac operator ⋮ Analytic Pontryagin duality ⋮ Analysis of twisted supercharge families on product manifolds ⋮ Analysis of gauge-equivariant complexes and a topological index theorem for gauge-invariant families

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