Communications in Analysis and Geometry
Volume 17 (2009)
Elliptic genera, transgression and loop space Chern-Simons forms
Pages: 73 – 106
We compute the Chern-Simons transgressed forms of some characteristic forms with modular properties, which are related to 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.