E-polynomial of SL(2,C)-Character Varieties of Free groups

Samuel Cavazos, Sean Lawton

Let ${\mathsf{F}}_r$ be a free group of rank $r$, ${\mathbb{F}}_q$ a finite field of order q, and let ${\mathrm{SL}}_n({\mathbb{F}}_q)$ act on $\mathrm{Hom}(\mathsf{F}_r, \mathrm{SL}_n(\ma…