Odd characteristic classes in entire cyclic homology and equivariant loop space homology
Sergio L. Cacciatori
INFN, Milano, Italy; Università dell’Insubria, Como, ItalyBatu Güneysu
Universität Bonn, Germany
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Abstract
Given a compact manifold and a smooth map from to the Lie group of unitary matrices with entries in , we construct a Chern character which lives in the odd part of the equivariant (entire) cyclic Chen-normalized cyclic complex of , and which is mapped to the odd Bismut–Chern character under the equivariant Chen integral map. It is also shown that the assignment induces a well-defined group homomorphism from the theory of to the odd homology group of .
Cite this article
Sergio L. Cacciatori, Batu Güneysu, Odd characteristic classes in entire cyclic homology and equivariant loop space homology. J. Noncommut. Geom. 15 (2021), no. 2, pp. 615–642
DOI 10.4171/JNCG/406