\(A_{\infty}\)-coderivations and the Gerstenhaber bracket on Hochschild cohomology
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Publication:2032757
DOI10.4171/JNCG/372zbMATH Open1484.16007arXiv1805.03167OpenAlexW3037596714MaRDI QIDQ2032757
Author name not available (Why is that?)
Publication date: 14 June 2021
Published in: (Search for Journal in Brave)
Abstract: We show that Hochschild cohomology of an algebra over a field is a space of infinity coderivations on an arbitrary projective bimodule resolution of the algebra. The Gerstenhaber bracket is the graded commutator of infinity coderivations. We thus generalize, to an arbitrary resolution, Stasheff's realization of the Gerstenhaber bracket on Hochschild cohomology as the graded commutator of coderivations on the tensor coalgebra of the algebra.
Full work available at URL: https://arxiv.org/abs/1805.03167
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