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arXiv · 2511.04095

Cyclic brace relation and BV structure on open-closed Hochschild cohomology

Hang Yuan
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Abstract

For an open-closed homotopy algebra (OCHA), the previous work indicates that there is an open-closed version of Hochschild cohomology with a canonical Gerstenhaber algebra structure. If this OCHA is further cyclic and unital in the sense of Kajiura and Stasheff, we produce a BV algebra structure on this cohomology via a cochain-level identity formulated with cyclic brace operations.

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Hang Yuan. 2025-11-06. Cyclic brace relation and BV structure on open-closed Hochschild cohomology. https://arxiv.org/abs/2511.04095

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