%0 Journal Article
%T Arithmetic of character varieties of free groups
%A Sergey Mozgovoy
%A Markus Reineke
%J Mathematics
%D 2014
%I arXiv
%X 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.
%U http://arxiv.org/abs/1402.6923v1