2 3 A ug 2 00 7 DIFFERENTIAL TWISTED K - THEORY AND APPLICATIONS
نویسنده
چکیده
In this paper, we develop differential characters in twisted K-theory and use them to define a twisted Chern character. In the usual formalism the ‘twist’ is given by a degree three Čech class while we work with differential twisted K-theory with twisting given by a degree 3 Deligne class. This resolves an unsatisfactory dependence on choices of representatives of differential forms in the definition of the Chern character map for twisted K-theory in the current literature. Twisted eta forms and twisted spin structures are also defined. To show the efficacy of our point of view we use our approach to study D-brane charges on a compact Lie group with non-trivial twisting by a Deligne class.
منابع مشابه
Differential Twisted K-theory and Applications
In this paper, we develop differential twisted K-theory and define a twisted Chern character on twisted K-theory which depends on a degree three 3 Deligne cocycle. 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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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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