Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sheaf theory for stacks in manifolds and twisted cohomology for
  S^1-gerbes   This is the first of a series of papers on sheaf theory on smooth and
topological stacks and its applications. The main result of the present paper
is the characterization of the twisted (by a closed integral three-form) de
Rham complex on a manifold. As an object in the derived category it will be
related with the push-forward of the constant sheaf from a S^1-gerbe with
Dixmier-Douady class represented by the three-form. In order to formulate and
prove this result we develop in detail the foundations of sheaf theory for
smooth stacks.

37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas