Arithmetic of character varieties of free groups
Algebraic Geometry
2014-02-28 v1 Group Theory
Representation Theory
Abstract
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.
Cite
@article{arxiv.1402.6923,
title = {Arithmetic of character varieties of free groups},
author = {Sergey Mozgovoy and Markus Reineke},
journal= {arXiv preprint arXiv:1402.6923},
year = {2014}
}
Comments
15 pages