De Rham complex of a Gerstenhaber algebra

TL;DR

This paper introduces a De Rham complex for Gerstenhaber algebras, enabling the classification of quasi-BV structures and generalizing classical results related to polyvector fields.

Contribution

It defines a new De Rham complex for Gerstenhaber algebras and provides a framework to classify quasi-BV structures, extending classical polyvector field results.

Findings

Established a De Rham complex for Gerstenhaber algebras

Classified quasi-BV structures within this framework

Generalized classical results for polyvector fields

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 to classify these structures, generalizing the classical results for polyvector fields.