Cup product on A(infinity)-cohomology and deformations

摘要

We propose a simple method for constructing formal deformations of differential graded algebras in the category of minimal A(infinity)-algebras. The basis for our approach is provided by the Gerstenhaber algebra structure on A(infinity)-cohomology, which we define in terms of the brace operations. As an example, we construct a minimal A(infinity)-algebra from the Weyl-Moyal *-product algebra of polynomial functions.