Singular Hochschild cohomology via the singularity category |
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| Authors: | Bernhard Keller |
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| Institution: | Université Paris-Diderot – Paris-7, Sorbonne Université, UFR de Mathématiques, CNRS, Institut de mathématiques de Jussieu–Paris Rive gauche, IMJ–PRG, bâtiment Sophie-Germain, 75205 Paris cedex 13, France |
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| Abstract: | We show that the singular Hochschild cohomology (= Tate–Hochschild cohomology) of an algebra A is isomorphic, as a graded algebra, to the Hochschild cohomology of the differential graded enhancement of the singularity category of A. The existence of such an isomorphism is suggested by recent work by Zhengfang Wang. |
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