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Gerstenhaber brackets on Hochschild cohomology of general twisted tensor products
Journal of Pure and Applied Algebra ( IF 0.7 ) Pub Date : 2021-06-01 , DOI: 10.1016/j.jpaa.2020.106597
Tekin Karadağ , Dustin McPhate , Pablo S. Ocal , Tolulope Oke , Sarah Witherspoon

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 a Gerstenhaber algebra, to the tensor product of the respective subalgebras of the Hochschild cohomology rings of the factors.

中文翻译:

一般扭曲张量积的 Hochschild 上同调上的 Gerstenhaber 括号

我们在代数扭曲张量积的 Hochschild 上同调上构建 Gerstenhaber 括号,并作为示例,计算 Buchweitz、Green、Madsen 和 Solberg 工作中出现的一些量子完全交集的 Gerstenhaber 括号。我们证明了扭曲张量积的 Hochschild 上同调环的子代数,其上的扭曲是微不足道的,作为 Gerstenhaber 代数,与因子的 Hochschild 上同调环的各个子代数的张量积同构。
更新日期:2021-06-01
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