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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