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Differential T-equivariant K-theory

For T the circle group, we construct a differential refinement of T-equivariant K-theory. We first construct a de Rham model for delocalized equivariant cohomology and a delocalized equivariant Chern character based on [19] and [14]. We show that the delocalized equivariant Chern character induces a complex isomorphism. We then construct a geometric model for differential T-equivariant K-theory analogous to the model of differential K-theory in [27] and deduce its basic properties. / text

Identiferoai:union.ndltd.org:UTEXAS/oai:repositories.lib.utexas.edu:2152/21680
Date23 October 2013
CreatorsAlter, Mio Ilan
Source SetsUniversity of Texas
Languageen_US
Detected LanguageEnglish
Formatapplication/pdf

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