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Differential twisted K-theory and applications |
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| Authors: | Alan L Carey Jouko Mickelsson Bai-Ling Wang |
| Institution: | 1. Mathematical Sciences Institute, Australian National University, Canberra ACT 0200, Australia;2. Department of Mathematics and Statistics, University of Helsinki, Finland;3. Department of Theoretical Physics, KTH, Stockholm, Sweden;4. Department of Mathematics, Mathematical Sciences Institute, Australian National University, Canberra, ACT 0200, Australia |
| 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. |
| Keywords: | 55R65 53C29 57R20 81T13 |
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