On the Cyclic Deligne Conjecture

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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

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Quantum Algebra

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http://salesiana.dossiersoluciones.com/handle/123456789/70831

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0404218
 http://arxiv.org/abs/math/0404218

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arXiv