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arXiv · 0905.2354

A Hochschild Cohomology Comparison Theorem for prestacks

Wendy Lowen·Michel Van den Bergh
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Abstract

We generalize and clarify Gerstenhaber and Schack's "Special Cohomology Comparison Theorem". More specifically we obtain a fully faithful functor between the derived categories of bimodules over a prestack over a small category U and the derived category of bimodules over its corresponding fibered category. In contrast to Gerstenhaber and Schack we do not have to assume that U is a poset.

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Wendy Lowen, Michel Van den Bergh. 2009-05-14. A Hochschild Cohomology Comparison Theorem for prestacks. https://arxiv.org/abs/0905.2354

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