Towards deformation quantization over a Z-graded base

Abstract

The goal of this note is to describe a class of formal deformations of a symplectic manifold $M$ in the case when the base ring of the deformation problem involves parameters of non-positive degrees. The interesting feature of such deformations is that these are deformations "in $A_{\infty }$-direction" and, in general, their description involves all cohomology classes of $M$ of degrees $\ge 2$.

To Murray Gerstenhaber, Jim Stasheff and Dennis Sullivan on the occasion of their jubilees. The final version of this paper will appear in the Journal of Noncommutative Geometry

References in corpus (2)

• Hydrodynamic Limit For An Active Exclusion Process
• A Version of the Goldman-Millson Theorem for Filtered L-infinity Algebras