De Rham complex of a Gerstenhaber algebra

Vadim Schechtman

Institut de Mathématiques de Toulouse, Université Paul Sabatier, 31062 Toulouse, France

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.

MSC: 14F40, 13D03

Received: January 15, 2015; in revised form May 22, 2015

Language: English

DOI: 10.17323/1609-4514-2015-15-4-817-832

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