Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Incompressible solvable representations of surface groups   The fundamental group of every surface that is not the projective plane or
Klein bottle has a representation to a torsion-free group of upper-triangular
matrices in SL(2,R) with no simple loop (i.e. a nontrivial element representing
a simple closed curve) in the kernel.

37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat