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BV-operators and the secondary Hochschild complex

Balodi, M and Banerjee, A and Naolekar, A (2020) BV-operators and the secondary Hochschild complex. In: Comptes Rendus Mathematique, 358 (11-12). pp. 1239-1258.

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Official URL: https://dx.doi.org/10.5802/CRMATH.157


We introduce the notion of a BV-operator � = �n: V n �Vn-1n�0on a homotopy G-algebra V�such that the Gerstenhaber bracket on H(V�) is determined by � 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. In this case, we also show that the operator ��corresponds to Connes' operator. © 2020 Elsevier Masson SAS. All rights reserved.

Item Type: Journal Article
Publication: Comptes Rendus Mathematique
Publisher: Academie des sciences
Additional Information: The copyright of this article belongs to Academie des sciences
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Date Deposited: 11 Mar 2021 09:36
Last Modified: 11 Mar 2021 09:36
URI: http://eprints.iisc.ac.in/id/eprint/68247

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