Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Arithmetic of character varieties of free groups   Via counting over finite fields, we derive explicit formulas for the
E-polynomials and Euler characteristics of GL(d)- and PGL(d)-character
varieties of free groups. We prove a positivity property for these polynomials
and relate them to the number of subgroups of finite index.

15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg