3 years ago

Singular Hochschild cohomology via the singularity category.

Bernhard Keller

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 of Zhengfang Wang.

Publisher URL: http://arxiv.org/abs/1809.05121

DOI: arXiv:1809.05121v5

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