Differential Twisted K-theory and Applications

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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.
32 page. Thoroughly revised to improve the exposition

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K-Theory and Homology, Differential Geometry, 55R65, 53C29

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http://salesiana.dossiersoluciones.com/handle/123456789/170022

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0708.3114
 http://arxiv.org/abs/0708.3114

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arXiv