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arXiv · 1909.13310

BV-operators and secondary Hochschild complex

Mamta Balodi·Abhishek Banerjee·Anita Naolekar
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Abstract

We introduce the notion of a BV-operator $\Delta=\{\Delta^n:V^n\longrightarrow V^{n-1}\}_{n\geq 0}$ on a homotopy $G$-algebra $V^\bullet$ such that the Gerstenhaber bracket on $H(V^\bullet)$ is determined by $\Delta$ in a manner similar to the BV-formalism. As an application, we produce a BV-operator on the cochain complex defining the secondary Hochschild cohomology of a symmetric algebra $A$ over a commutative algebra $B$.

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Mamta Balodi, Abhishek Banerjee, Anita Naolekar. 2019-09-29. BV-operators and secondary Hochschild complex. https://arxiv.org/abs/1909.13310

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