Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The inclusion of configuration spaces of surfaces in Cartesian products,
  its induced homomorphism, and the virtual cohomological dimension of the
  braid groups of S^2 and RP^2
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th