Elliptic Genera, Transgression and Loop Space Chern-Simons Forms
Differential Geometry
2007-12-08 v2 Algebraic Topology
Abstract
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.
Keywords
Cite
@article{arxiv.math/0611104,
title = {Elliptic Genera, Transgression and Loop Space Chern-Simons Forms},
author = {Qingtao Chen and Fei Han},
journal= {arXiv preprint arXiv:math/0611104},
year = {2007}
}
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