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

Alan L. Carey; Bai-Ling Wang

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

K理论与同调 2007-05-23 v4 高能物理 - 理论微分几何

作者: Alan L. Carey , Bai-Ling Wang

摘要

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.

关键词

twisted k-theory algebraic k-theory equivariant cohomology

引用

@article{arxiv.math/0507414,
  title  = {Thom isomorphism and Push-forward map in twisted K-theory},
  author = {Alan L. Carey and Bai-Ling Wang},
  journal= {arXiv preprint arXiv:math/0507414},
  year   = {2007}
}

备注

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

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

摘要

关键词

引用

备注

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