Cup product on -cohomology and deformations
Alexey A. Sharapov
Tomsk State University, RussiaEvgeny D. Skvortsov
Albert Einstein Institute, Potsdam, Germany
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Abstract
We propose a simple method for constructing formal deformations of differential graded algebras in the category of minimal -algebras. The basis for our approach is provided by the Gerstenhaber algebra structure on -cohomology, which we define in terms of the brace operations. As an example, we construct a minimal -algebra from the Weyl–Moyal -product algebra of polynomial functions.
Cite this article
Alexey A. Sharapov, Evgeny D. Skvortsov, Cup product on -cohomology and deformations. J. Noncommut. Geom. 15 (2021), no. 1, pp. 223–240
DOI 10.4171/JNCG/411