Elliptic Genera, Transgression and Loop Space Chern-Simons Forms

Details Elliptic Genera, Transgression and Loop Space Chern-Simons Forms Elliptic Genera, Transgression and Loop Space Chern-Simons Forms

2006-11-04

arxiv.org/abs/math/0611104v2

Mathematics

Differential Geometry

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Scientific paper

We compute the Chern-Simons transgressed forms of some modularly invariant
characteristic forms, which are related to the elliptic genera. We study the
modularity properties of these secondary characteristic forms and the relations
among them. We also compute the Chern-Simons forms of some vector bundles over
free loop space.

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