Mixed Hodge polynomials of character varieties: With an appendix by Nicholas M. Katz

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

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Bibliographic Details
Main Authors: Hausel, T, Rodriguez-Villegas, F
Format: Journal article
Language:English
Published: 2008