Grothendieck-Teichmüller and Batalin-Vilkovisky

Abstract

It is proven that, for any affine supermanifold $M$ equipped with a constant odd symplectic structure, there is a universal action (up to homotopy) of the Grothendieck-Teichmüller Lie algebra ${\mathfrak{grt}}_1$ on the set of quantum BV structures (i. e.\ solutions of the quantum master equation) on $M$.

References in corpus (1)

• Deformation quantization of Poisson manifolds, I

Cited by in corpus (3)

• Deformation theory of Cohomological Field Theories
• The orientation morphism: from graph cocycles to deformations of Poisson structures
• The defining properties of the Kontsevich unoriented graph complex