On the van Est analogy in Hopf cyclic cohomology

2022/07/27 by Moscovici, Henri
#16E40 #57R32 #58B34 #Differential Geometry (math.DG) #FOS: Mathematics #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.2207.13535

Abstract

We present results relating the Hopf cyclic cohomology of the Hopf algebra of moving frames with that of the DG Hopf algebra of moving coframes, analogous to the van Est isomorphism between Lie algebra cohomology and continuous group cohomology.

Related

• Topological Hopf algebras and their Hopf-cyclic cohomology
• Hopf cyclic cohomology and transverse characteristic classes
• Cyclic cohomology and Hopf algebras
• Introduction to Hopf-Cyclic Cohomology
• Differentiable cyclic cohomology and Hopf algebraic structures in transverse geometry