Mixed Hodge polynomials of character varieties

We calculate the E-polynomials of certain twisted GL(n,C)-character varieties M_n of Riemann surfaces by counting points over finite fields using the character table of the finite group of Lie-type GL(n,F_q) and a theorem proved in the appendix by N. Katz. We deduce from this calculation several geo...

Full description

Bibliographic Details
Main Authors: Hausel, T, Rodriguez-Villegas, F
Format: Journal article
Published: 2006