Gerstenhaber brackets on Hochschild cohomology of twisted tensor products
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Publication:680719
DOI10.4171/JNCG/11-4-4zbMATH Open1382.16005arXiv1503.03531OpenAlexW3106639667MaRDI QIDQ680719
Author name not available (Why is that?)
Publication date: 26 January 2018
Published in: (Search for Journal in Brave)
Abstract: We construct the Gerstenhaber bracket on Hochschild cohomology of a twisted tensor product of algebras, and, as examples, compute Gerstenhaber brackets for some quantum complete intersections arising in work of Buchweitz, Green, Madsen, and Solberg. We prove that a subalgebra of the Hochschild cohomology ring of a twisted tensor product, on which the twisting is trivial, is isomorphic, as Gerstenhaber algebras, to the tensor product of the respective subalgebras of the Hochschild cohomology rings of the factors.
Full work available at URL: https://arxiv.org/abs/1503.03531
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