alexa The Batalin-Vilkovisky Algebra on Hochschild Cohomology Induced by Infinity Inner Products


Journal of Generalized Lie Theory and Applications

Author(s): Thomas Tradler

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We define a BV-structure on the Hochschild cohomology of a unital, associative algebra A with a symmetric, invariant and non-degenerate inner product. The induced Gerstenhaber algebra is the one described in Gerstenhaber’s original paper on Hochschild-cohomology. We also prove the corresponding theorem in the homotopy case, namely we define the BV-structure on the Hochschild-cohomology of a unital A -algebra with a symmetric and non-degenerate -inner product.

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This article was published in Annales de l’institut Fourier and referenced in Journal of Generalized Lie Theory and Applications

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