Thom isomorphism and Push-forward map in twisted K-theory
| dc.creator | Carey, Alan L. | |
| dc.creator | Wang, Bai-Ling | |
| dc.date | 2005-07-21 | |
| dc.date | 2006-07-12 | |
| dc.date.accessioned | 2026-07-07T06:42:39Z | |
| dc.date.available | 2026-07-07T06:42:39Z | |
| dc.description | 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 $f: X\to Y$ (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. | |
| dc.description | Add Remark 4.2 to clarify some confusions in the current literature about the role of automorphisms of twists and their action on twisted K-theroy | |
| dc.identifier | https://arxiv.org/abs/math/0507414 | |
| dc.identifier | http://arxiv.org/abs/math/0507414 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/102122 | |
| dc.subject | K-Theory and Homology | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Differential Geometry | |
| dc.subject | 55N15, 57R22, 55R50, 81T13 | |
| dc.title | Thom isomorphism and Push-forward map in twisted K-theory | |
| dc.type | text |