Operads, Grothendieck topologies and Deformation theory
alg-geom
2008-02-03 v2 Algebraic Geometry
Abstract
The idea of the work is to find an invariant way to pass from deformation theory to cohomology, which does not use any explicit cocycles. The appropriate cohomology theory is based on considering sheaves on a certain site. An advantage of the approach is that it enables one to give a simultanious treatement to all types of algebras. As an application, we prove the PBW theorem in cases where it is not yet known.
Cite
@article{arxiv.alg-geom/9502010,
title = {Operads, Grothendieck topologies and Deformation theory},
author = {D. Gaitsgory},
journal= {arXiv preprint arXiv:alg-geom/9502010},
year = {2008}
}
Comments
13 pages, AmsTeX