Differential Twisted K-theory and Applications

  title={Differential Twisted K-theory and Applications},
  author={Alan L. Carey and Jouko Mickelsson and Bai-Ling Wang},
  journal={arXiv: K-Theory and Homology},
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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