Twisted K-homology,Geometric cycles and T-duality

2014/11/06 by Bei Liu, Liu, Bei
Mathematics · #FOS: Mathematics #K-Theory and Homology (math.KT) #math.KT

paper · pdf · doi:10.48550/arxiv.1411.1575

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

arxiv created 2014/11/14 · arxiv updated 2014/11/17

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.

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