Equivariant Chern classes in Hopf cyclic cohomology

2014/09/06 by Moscovici, Henri
#Differential Geometry (math.DG) #FOS: Mathematics #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.1409.2044

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.

Related

• Hopf cyclic cohomology and transverse characteristic classes
• Geometric construction of Hopf cyclic characteristic classes
• Secondary Characteristic Classes and Cyclic Cohomology of Hopf Algebras
• Chern character, Hopf algebras, and BRS cohomology
• Categorified Chern character and cyclic cohomology