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Thom isomorphism and Push-forward map in twisted K-theory | | Alan L. Carey
; Bai-Ling Wang
; | | Date: |
21 Jul 2005 | | Subject: | K-Theory and Homology; Differential Geometry MSC-class: 55N15, 57R22, 55R50, 81T13 | math.KT hep-th math.DG | | Abstract: | We establish the Thom isomorphism in twisted K-theory for any real vector bundle and develop the push-forward map in twisted K-theory for any differentiable proper map $f: X o Y$ (not necessarily K-oriented). The push-forward map generalizes the push-forward map in ordinary K-theory for any $K$-oriented differentiable proper map and the Atiyah-Singer index theorem of Dirac operators on Clifford modules. For $D$-branes satisfying Freed-Witten’s anomaly cancellation condition in a manifold with a non-trivial $B$-field, we associate a canonical element in the twisted K-group to get the so-called D-brane charges. | | Source: | arXiv, math.KT/0507414 | | Services: | Forum | Review | PDF | Favorites | |
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