On the Cyclic Deligne Conjecture

Abstract

Let A be a finite dimensional, unital, and associative algebra which is endowed with a non-degenerate and invariant inner product. We give an explicit description of an action of cyclic Sullivan chord diagrams on the normalized Hochschild cochain complex of A. As a corollary, the Hochschild cohomology of A becomes a Frobenius algebra which is endowed with a compatible BV operator. If A is also commutative, then the discussion extends to an action of general Sullivan chord diagrams. Some implications of this are discussed.

23 pages

References in corpus (1)

• A proof of a cyclic version of Deligne's conjecture via Cacti

Cited by in corpus (1)

• Topological conformal field theories and Calabi-Yau categories