Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Operads, Grothendieck topologies and Deformation theory   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.

24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat