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arXiv · 2506.23911

BV structure on the Hochschild cohomology of twisted tensor products

Matthew Antrobus
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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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Matthew Antrobus. 2025-06-30. BV structure on the Hochschild cohomology of twisted tensor products. https://arxiv.org/abs/2506.23911

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