Operads, Grothendieck topologies and Deformation theory

Details Operads, Grothendieck topologies and Deformation theory Operads, Grothendieck topologies and Deformation theory

1995-02-14

arxiv.org/abs/alg-geom/9502010v2

Mathematics

Algebraic Geometry

13 pages, AmsTeX

Scientific paper

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.

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