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Cyclic brace relation and BV structure on open-closed Hochschild cohomology
Published 6 Nov 2025 in math.QA, hep-th, math-ph, math.AT, and math.MP | (2511.04095v1)
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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