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On the Cyclic Deligne Conjecture

Thomas Tradler·Mahmoud Zeinalian
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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.

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Thomas Tradler, Mahmoud Zeinalian. 2004-10-27. On the Cyclic Deligne Conjecture. https://arxiv.org/abs/math/0404218

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