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arXiv · 1411.1575

Twisted K-homology,Geometric cycles and T-duality

Bei Liu
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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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Bei Liu. 2014-11-14. Twisted K-homology,Geometric cycles and T-duality. https://arxiv.org/abs/1411.1575

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