Differential Twisted K-theory and Applications

Details Differential Twisted K-theory and Applications Differential Twisted K-theory and Applications

2007-08-23

arxiv.org/abs/0708.3114v4

Mathematics

K-Theory and Homology

32 page. Thoroughly revised to improve the exposition

Scientific paper

In this paper, we develop differential twisted K-theory and define a twisted
Chern character on twisted K-theory which depends on a choice of connection and
curving on the twisting gerbe. We also establish the general Riemann-Roch
theorem in twisted K-theory and find some applications in the study of twisted
K-theory of compact simple Lie groups.

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