Gerstenhaber brackets on Hochschild cohomology of twisted tensor products
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2017 European Mathematical Society. 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 the 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 a Gerstenhaber algebra, to the tensor product of the respective subalgebras of the Hochschild cohomology rings of the factors.
Journal of Noncommutative Geometry
author list (cited authors)
Grimley, L., Nguyen, V., & Witherspoon, S.
complete list of authors
Grimley, Lauren||Nguyen, Van||Witherspoon, Sarah