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Moscow Mathematical Journal, 2015, Volume 15, Number 4, Pages 817–832
DOI: https://doi.org/10.17323/1609-4514-2015-15-4-817-832 (Mi mmj589) 		 
De Rham complex of a Gerstenhaber algebra

Vadim Schechtman

Institut de Mathématiques de Toulouse, Université Paul Sabatier, 31062 Toulouse, France
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DOI: https://doi.org/10.17323/1609-4514-2015-15-4-817-832
Abstract: We introduce a notion of the De Rham complex of a Gerstenhaber algebra which produces a notion of a “quasi-BV structure”, and allows one to classify these structures, generalizing the classical results by Koszul for polyvector fields.
Key words and phrases: De Rham complex, Hochschild cohomology, Gerstenhaber algebra, Batalin–Vilkovysky algebra.
Received: January 15, 2015; in revised form May 22, 2015
Bibliographic databases:
MSC: 14F40, 13D03
Language: English
Citation: Vadim Schechtman, “De Rham complex of a Gerstenhaber algebra”, Mosc. Math. J., 15:4 (2015), 817–832
Citation in format AMSBIB
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\paper De Rham complex of a~Gerstenhaber algebra
\jour Mosc. Math.~J.
\yr 2015
\vol 15
\issue 4
\pages 817--832
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