Lauren Grimley, Van C. Nguyen, Sarah Witherspoon
Published 2015-03-11Version 1
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.
$A_{\infty}$-coderivations and the Gerstenhaber bracket on Hochschild cohomology
The product in the Hochschild cohomology ring of preprojective algebras of Dynkin quivers
The Hochschild Cohomology ring of preprojective algebras of type Ln
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