Cyclic cohomology of Hopf algebras, and a non-commutative Chern-Weil theory, by Crainic Marius

We give a construction of Connes-Moscovici's cyclic cohomology for any Hopf algebra equipped with a character. Furthermore, we introduce a non-commutative Weil complex, which connects the work of Gelfand and Smirnov with cyclic cohomology. We show how the Weil complex arises naturally when looking at Hopf algebra actions and invariant higher traces, to give a non-commutative version of the usual Chern-Weil theory.


Crainic Marius <crainic@math.uu.nl>