Henri Moscovici: Equivariant Chern classes in Hopf cyclic cohomology, p.317-330

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 Hn relative to GLn. 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.

Key Words: Equivariant Chern classes, Hopf cyclic cohomology.

2000 Mathematics Subject Classification: Primary: 46L87, 58B34;
Secondary: 57T05.

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