On the Cohomology Comparison Theorem

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 $Special$ $Cohomology$ $Comparison$ $Theorem$ of M. Gerstenhaber and S. D. Schack.

When the 3rd version was uploaded I attached the wrong file. This version corrects that mistake

References in corpus (1)

• A Hochschild Cohomology Comparison Theorem for prestacks

Cited by in corpus (2)

• The Invariance and the General CCT Theorems
• Deformations associated to rigid algebras