Gerstenhaber and BV-algebras, Hochschild and Hopf cyclic cohomology

Luc Menichi (U Angers)

Wednesday 1st May, 2013 16:00-17:00 204


Every linear cyclic operad with multiplication gives a cocyclic module whose cohomology is a BV-algebra and whose cyclic cohomology has a Lie bracket. In string topology, an example is the Hochschild cohomology of a symmetric Frobenius algebra. In Hopf cyclic cohomology \`a la Connes-Moscovici, an example is the exterior product of a Hopf algebra with involutive antipode. In ``Connes-Moscovici characteristic map is a Lie algebra morphism'' (2011), we explain that these two examples are somehow related.

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