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BV structure on the Hochschild cohomology of twisted tensor products

Published 30 Jun 2025 in math.RA and math.KT | (2506.23911v1)

Abstract: Given two Frobenius algebras, we describe the BV operator on the Hochschild cohomology of their tensor product twisted by a bicharacter in terms of twisted BV operators on summands of the Hochschild cohomology described by Briggs and Witherspoon. This specialises to the case of non-twisted tensor products, and in doing so generalises a result of Le and Zhou. This allows us to simplify calculations in the literature significantly.

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