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Secondary Characteristic Classes and Cyclic Cohomology of Hopf Algebras

Alexander Gorokhovsky
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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.

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Alexander Gorokhovsky. 2000-02-15. Secondary Characteristic Classes and Cyclic Cohomology of Hopf Algebras. https://arxiv.org/abs/math/0002126

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