A formality framework for commutative deformations

Abstract

In this article, we use Harrison cohomology to provide a framework for commutative deformations. In particular, Kontsevich's result that formality of (the Hochschild complex of) an associative algebra implies its deformability is adapted for commutative algebras, with the Harrison complex.

arXiv comment9 pages

References in corpus (2)

• Deformation quantization of Poisson manifolds, I
• Quantization on Curves