Thom isomorphism and push-forward map in twisted K-theory

DOI10.1017/is007011015jkt011zbMath1204.55006arXivmath/0507414OpenAlexW2164360066MaRDI QIDQ3527583

Bai-Ling Wang, Alan L. Carey

Publication date: 29 September 2008

Published in: Journal of K-Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0507414

zbMATH Keywords

twisted K-theoryThom isomorphismpush-forward map and \(D\)-brane charges

Mathematics Subject Classification ID

Stable classes of vector space bundles in algebraic topology and relations to (K)-theory (55R50) Yang-Mills and other gauge theories in quantum field theory (81T13) Topology of vector bundles and fiber bundles (57R22) Topological (K)-theory (55N15)

Related Items (15)

Twisted differential \(K\)-characters and D-branes ⋮ Geometric \(K\)-homology and the Freed-Hopkins-Teleman theorem ⋮ Twisted index theory for foliations ⋮ Twisted \(K\)-theory and finite-dimensional approximation ⋮ Character formulæ and GKRS multiplets in equivariant \(K\)-theory ⋮ Twisted longitudinal index theorem for foliations and wrong way functoriality ⋮ Projective Dirac operators, twisted \(K\)-theory, and local index formula ⋮ A Fourier-Mukai approach to the \(K\)-theory of compact Lie groups ⋮ Equivariant twisted real \(K\)-theory of compact Lie groups ⋮ Geometric cycles, index theory and twisted \(K\)-homology ⋮ Parametrized spectra, multiplicative Thom spectra and the twisted Umkehr map ⋮ Twisted $K$-theory and Poincaré duality ⋮ Gerbes in geometry, field theory, and quantisation ⋮ Differential twisted K-theory and applications ⋮ Topological T-duality for torus bundles with monodromy

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• The Brauer Group of Graded Continuous Trace C ∗ -Algebras
• WZW BRANES AND GERBES
• Bundle Gerbes
• D-branes in a topologically nontrivial \(B\)-field

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