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Homotopy Cartan calculus and inner deformations of A∞-algebras A. A. Sharapov, E. D. Skvortsov

By: Sharapov, Alexey AContributor(s): Skvortsov, Evgeny DMaterial type: ArticleArticleContent type: Текст Media type: электронный Subject(s): некоммутативное дифференциальное исчисление | Хохшильда когомологии | циклические когомологии | A∞-алгебрыGenre/Form: статьи в журналах Online resources: Click here to access online In: Letters in mathematical physics Vol. 112, № 3. P. 61 (1-30)Abstract: We consider inner deformations of families of A∞-algebras. With the help of noncommutative Cartan’s calculus, we prove the invariance of Hochschild (co)homology under inner deformations. The invariance also holds for cyclic cohomology classes that satisfy some additional conditions.Applications to dg-algebras and QFT problems are briefly discussed.
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We consider inner deformations of families of A∞-algebras. With the help of noncommutative Cartan’s calculus, we prove the invariance of Hochschild (co)homology under inner deformations. The invariance also holds for cyclic cohomology classes that satisfy some additional conditions.Applications to dg-algebras and QFT problems are briefly discussed.

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