Secondary Characteristic Classes and Cyclic Cohomology of Hopf Algebras

Abstract

We give a construction of cyclic cocycles representing the equivariant characteristic classes of equivariant bundles. Our formulas generalize Connes' Godbillon-Vey cyclic cocycle. An essential tool of our construction is Connes-Moscovici's theory of cyclic cohomology of Hopf algebras.

27 pages

References in corpus (2)

• Hopf algebras, cyclic cohomology and the transverse index theory
• Characters of Cycles, Equivariant Characteristic Classes and Fredholm Modules