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• W1721252008 abstract "We show that the universal odd Chern form, defined on the stable unitary group $U$, extends to the loop group $LU$ in a way that is closed with respect to an equivariant-type differential. This provides an odd analogue to the Bismut-Chern form. We also describe the associated transgression form, the so-called Bismut-Chern-Simons form, and explicate some properties it inherits as a differential form on the space of maps of a cylinder into the stable unitary group. As a corollary, we obtain the Chern character homomorphism from odd K-theory to the periodic cohomology of the free loop space, represented geometrically on the level of differential forms." @default.
• W1721252008 created "2016-06-24" @default.
• W1721252008 creator A5054439378 @default.
• W1721252008 date "2013-11-25" @default.
• W1721252008 modified "2023-09-27" @default.
• W1721252008 title "A loop group extension of the odd Chern character" @default.
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• W1721252008 hasPublicationYear "2013" @default.
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