A Hochschild Cohomology Comparison Theorem for prestacks
K-Theory and Homology
2009-05-15 v1
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.
Cite
@article{arxiv.0905.2354,
title = {A Hochschild Cohomology Comparison Theorem for prestacks},
author = {Wendy Lowen and Michel Van den Bergh},
journal= {arXiv preprint arXiv:0905.2354},
year = {2009}
}
Comments
17 pages