On the van Est analogy in Hopf cyclic cohomology
Henri Moscovici
TL;DR
This paper explores an analogy in Hopf cyclic cohomology, linking the cohomology of moving frames with that of a DG Hopf algebra, inspired by the van Est isomorphism in Lie theory.
Contribution
It establishes a new analogy between Hopf cyclic cohomology of moving frames and DG Hopf algebras, extending the van Est isomorphism concept.
Findings
Identifies a van Est type isomorphism in Hopf cyclic cohomology
Connects algebraic structures of moving frames with DG Hopf algebras
Provides a framework for further cohomological comparisons
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.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology