Differential Twisted K-theory and Applications
K-Theory and Homology
2008-09-28 v4 Differential Geometry
Abstract
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.
Cite
@article{arxiv.0708.3114,
title = {Differential Twisted K-theory and Applications},
author = {Alan L. Carey and Jouko Mickelsson and Bai-Ling Wang},
journal= {arXiv preprint arXiv:0708.3114},
year = {2008}
}
Comments
32 page. Thoroughly revised to improve the exposition