Arithmetic of character varieties of free groups

Sergey Mozgovoy, Markus Reineke

Type: Article

Publication Date: 2015-09-21

Citations: 11

DOI: https://doi.org/10.1142/s0129167x15501001

Abstract

Via counting over finite fields, we derive explicit formulas for the [Formula: see text]-polynomials and Euler characteristics of [Formula: see text]- and [Formula: see text]-character varieties of free groups. We prove a positivity property for these polynomials and relate them to the number of subgroups of finite index.

Locations

International Journal of Mathematics - View
arXiv (Cornell University) - View - PDF

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