Equivariant Chern classes in Hopf cyclic cohomology

Abstract

We present a geometric approach, in the spirit of the Chern-Weil theory, for constructing cocycles representing the classes of the Hopf cyclic cohomology of the Hopf algebra H(n) relative to GL(n, R). This provides an explicit description of the universal Hopf cyclic Chern classes, which complements our earlier geometric realization of the Hopf cyclic characteristic classes of foliations.

15 pages; minor corrections; to appear in Bull. Math. Soc. Sci. Math. Roum

References in corpus (2)

• Hopf algebras, cyclic cohomology and the transverse index theory
• Differentiable cyclic cohomology and Hopf algebraic structures in transverse geometry

Cited by in corpus (1)

• Hopf algebra ${\mathcal{K}}_n$ and universal Chern classes