On the Cohomology Comparison Theorem
Category Theory
2014-04-16 v4
Abstract
A relative derived category for the category of modules over a presheaf of algebras is constructed to identify the relative Yoneda and Hochschild cohomologies with its homomorphism groups. The properties of a functor between this category and the relative derived category of modules over the algebra associated to the presheaf are studied. We obtain a generalization of the of M. Gerstenhaber and S. D. Schack.
Cite
@article{arxiv.1010.4819,
title = {On the Cohomology Comparison Theorem},
author = {Alin Stancu},
journal= {arXiv preprint arXiv:1010.4819},
year = {2014}
}
Comments
When the 3rd version was uploaded I attached the wrong file. This version corrects that mistake