Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Virtual classes of parabolic $\mathrm{SL}_2(\mathbb{C})$-character
  varieties   In this paper, we compute the virtual classes in the Grothendieck ring of
algebraic varieties of $\mathrm{SL}_2(\mathbb{C})$-character varieties over
compact orientable surfaces with parabolic points of semi-simple type. When the
parabolic punctures are chosen to be semi-simple non-generic, we show that a
new interaction phenomenon appears generating a recursive pattern.

22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics