Cyclic brace relation and BV structure on open-closed Hochschild cohomology
Quantum Algebra
2025-11-07 v1 High Energy Physics - Theory
Mathematical Physics
Algebraic Topology
math.MP
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.
Cite
@article{arxiv.2511.04095,
title = {Cyclic brace relation and BV structure on open-closed Hochschild cohomology},
author = {Hang Yuan},
journal= {arXiv preprint arXiv:2511.04095},
year = {2025}
}
Comments
19 pages