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Cup product on A∞-cohomology and deformations A. A. Sharapov, E. D. Skvortsov
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ArticleContent type: Текст Media type: электронный Subject(s): теория деформаций | дифференциальная градуированная алгебраGenre/Form: статьи в журналах Online resources: Click here to access online
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Journal of noncommutative geometry Vol. 15, № 1. P. 223-240Abstract: We propose a simple method for constructing formal deformations of differential graded algebras in the category of minimal A∞-algebras. The basis for our approach is provided by the Gerstenhaber algebra structure on A∞-cohomology, which we define in terms of the brace operations. As an example, we construct a minimal A∞-algebra from the Weyl–Moyal ∗-product algebra of polynomial functions.
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We propose a simple method for constructing formal deformations of differential graded algebras in the category of minimal A∞-algebras. The basis for our approach is provided by the Gerstenhaber algebra structure on A∞-cohomology, which we define in terms of the brace operations. As an example, we construct a minimal A∞-algebra from the Weyl–Moyal ∗-product algebra of polynomial functions.
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