Geometric cycles, index theory and twisted \(K\)-homology

DOI10.4171/JNCG/27zbMath1169.19003arXiv0710.1625MaRDI QIDQ951975

Bai-Ling Wang

Publication date: 5 November 2008

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.1625

zbMATH Keywords

twisted \(\text{Spin}^c\) manifoldstwisted \(K\)-homologytwisted index theorem

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Exotic index theories on manifolds (58J22) Bordism and cobordism theories and formal group laws in algebraic topology (55N22) Index theory (19K56)

Related Items (18)

Twisted differential \(K\)-characters and D-branes ⋮ Twisted Morava K-theory and E-theory ⋮ Framed M-branes, corners, and topological invariants ⋮ Twisted Morava \(K\)-theory and connective covers of Lie groups ⋮ Twisted index theory for foliations ⋮ String structures associated to indefinite Lie groups ⋮ Twisted longitudinal index theorem for foliations and wrong way functoriality ⋮ Twisted differential string and fivebrane structures ⋮ Twisted geometric K-homology for proper actions of discrete groups ⋮ Projective Dirac operators, twisted \(K\)-theory, and local index formula ⋮ GEOMETRIC AND TOPOLOGICAL STRUCTURES RELATED TO M-BRANES II: TWISTED STRING AND STRING^CSTRUCTURES ⋮ Parametrized spectra, multiplicative Thom spectra and the twisted Umkehr map ⋮ Actions of $K(\pi ,n)$ spaces on $K$-theory and uniqueness of twisted $K$-theory ⋮ A non-commutative model for higher twistedK-theory ⋮ The ring structure of twisted equivariant \(KK\)-theory for noncompact Lie groups ⋮ The \(E_8\) moduli 3-stack of the C-field in M-theory ⋮ Differential twisted K-theory and applications ⋮ Ninebrane structures

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