Secondary Characteristic Classes and Cyclic Cohomology of Hopf Algebras

2000/02/15 by Gorokhovsky, Alexander · 1 citation
#Differential Geometry (math.DG) #FOS: Mathematics #Operator Algebras (math.OA) #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.math/0002126

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.

Cited by

• Spectral sequences for the cyclic cohomology of differential graded algebras

Related

• Equivariant Chern classes in Hopf cyclic cohomology
• Hopf cyclic cohomology and transverse characteristic classes
• Cyclic Cohomology of Hopf algebras and Hopf Algebroids
• Products in Hopf-Cyclic Cohomology
• Equivariant Cyclic Cohomology of H-Algebras