The EMS Publishing House is now EMS Press and has its new home at

Please find all EMS Press journals and articles on the new platform.

Journal of Noncommutative Geometry

Full-Text PDF (335 KB) | Metadata | Table of Contents | JNCG summary
Volume 11, Issue 4, 2017, pp. 1351–1379
DOI: 10.4171/JNCG/11-4-4

Published online: 2017-12-15

Gerstenhaber brackets on Hochschild cohomology of twisted tensor products

Lauren Grimley[1], Van C. Nguyen[2] and Sarah Witherspoon[3]

(1) Spring Hill College, Mobile, USA
(2) Hood College, Frederick, USA
(3) Texas A&M University, College Station, USA

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.

Keywords: Hochschild cohomology, Gerstenhaber brackets, twisted tensor products, quantum complete intersections

Grimley Lauren, Nguyen Van, Witherspoon Sarah: Gerstenhaber brackets on Hochschild cohomology of twisted tensor products. J. Noncommut. Geom. 11 (2017), 1351-1379. doi: 10.4171/JNCG/11-4-4