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Mathematics > K-Theory and Homology

arXiv:1411.1575 (math)
[Submitted on 6 Nov 2014 (v1), last revised 14 Nov 2014 (this version, v3)]

Title:Twisted K-homology,Geometric cycles and T-duality

Authors: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.
Comments: We modify the statement about the six-term exact sequence of geometric twisted $K$-homology. Some Typos are corrected. Comments are welcome!
Subjects: K-Theory and Homology (math.KT)
Cite as: arXiv:1411.1575 [math.KT]
  (or arXiv:1411.1575v3 [math.KT] for this version)
  https://doi.org/10.48550/arXiv.1411.1575

Submission history

From: Bei Liu [view email]
[v1] Thu, 6 Nov 2014 11:38:27 UTC (21 KB)
[v2] Fri, 7 Nov 2014 14:42:22 UTC (1 KB) (withdrawn)
[v3] Fri, 14 Nov 2014 09:05:55 UTC (22 KB)
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