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Singular Hochschild cohomology via the singularity category
Published 13 Sep 2018 in math.RT, math.AG, and math.KT | (1809.05121v10)
Abstract: We show that for a noetherian algebra $A$ whose bounded dg derived category is smooth, the singular Hochschild cohomology (=Tate--Hochschild cohomology) is isomorphic, as a graded algebra, to the Hochschild cohomology of the dg singularity category of $A$. The existence of such an isomorphism is suggested by recent work of Zhengfang Wang.
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