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arXiv · 1503.03531

Gerstenhaber brackets on Hochschild cohomology of twisted tensor products

Lauren Grimley·Van C. Nguyen·Sarah Witherspoon
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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.

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Lauren Grimley, Van C. Nguyen, Sarah Witherspoon. 2015-03-11. Gerstenhaber brackets on Hochschild cohomology of twisted tensor products. https://arxiv.org/abs/1503.03531

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