Twisted K-homology,Geometric cycles and T-duality

Bei Liu

Twisted K-homology,Geometric cycles and T-duality

K-Theory and Homology 2014-11-17 v3

Authors: Bei Liu

Abstract

Twisted $K$ -homology corresponds to $D$ -branes in string theory. In this paper we compare two different models of geometric twisted $K$ -homology and get their equivalence. Moreover, we give another description of geometric twisted $K$ -homology using bundle gerbes. We establish some properties of geometric twisted $K$ -homology. In the last part we construct $T$ -duality isomorphism for geometric twisted $K$ -homology.

Keywords

twisted k-homology geometric cycles t-duality d-branes bundle gerbes string theory k-theory

Cite

@article{arxiv.1411.1575,
  title  = {Twisted K-homology,Geometric cycles and T-duality},
  author = {Bei Liu},
  journal= {arXiv preprint arXiv:1411.1575},
  year   = {2014}
}

Comments

We modify the statement about the six-term exact sequence of geometric twisted $K$-homology. Some Typos are corrected. Comments are welcome!

Twisted K-homology,Geometric cycles and T-duality

Abstract

Keywords

Cite

Comments

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