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A Geometric Model for Odd Differential K-theory | | Pedram Hekmati
; Michael K. Murray
; Vincent S. Schlegel
; Raymond F. Vozzo
; | | Date: |
11 Sep 2013 | | Abstract: | Odd $K$-theory has the interesting property that it admits an infinite number
of nonequivalent differential refinements. In this paper we provide a bundle
theoretic model for odd differential $K$-theory using the caloron
correspondence and prove that this refinement is unique up to a unique natural
isomorphism. We characterise the odd Chern character and its transgression form
in terms of a connection and Higgs field and discuss some applications. Our
model can be seen as the odd counterpart to the Simon-Sullivan construction of
even differential $K$-theory. | | Source: | arXiv, 1309.2834 | | Services: | Forum | Review | PDF | Favorites | |
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