Elliptic genera, transgression and loop space Chern-Simons forms

Qingtao Chen, Fei Han

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish (US)
Pages (from-to)73-106
Number of pages34
JournalCommunications in Analysis and Geometry
Issue number1
StatePublished - Jan 2009

ASJC Scopus subject areas

  • Analysis
  • Statistics and Probability
  • Geometry and Topology
  • Statistics, Probability and Uncertainty


Dive into the research topics of 'Elliptic genera, transgression and loop space Chern-Simons forms'. Together they form a unique fingerprint.

Cite this