Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Twisted Alexander polynomials and incompressible surfaces given by ideal
  points   We study incompressible surfaces constructed by Culler-Shalen theory in the
context of twisted Alexander polynomials. For a $1$st cohomology class of a
$3$-manifold the coefficients of twisted Alexander polynomials induce regular
functions on the $SL_2(\mathbb{C})$-character variety. We prove that if an
ideal point gives a Thurston norm minimizing non-separating surface dual to the
cohomology class, then the regular function of the highest degree has a finite
value at the ideal point.

16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn