Moscow Mathematical Journal

Volume 15, Issue 4, October–December 2015 pp. 817–832.

De Rham Complex of a Gerstenhaber Algebra

Authors: Vadim Schechtman
Author institution:Institut de Mathématiques de Toulouse, Université Paul Sabatier, 31062 Toulouse, France

Summary:

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.

2010 Math. Subj. Class. 14F40, 13D03.

Keywords: De Rham complex, Hochschild cohomology, Gerstenhaber algebra, Batalin–Vilkovysky algebra.

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