---
res:
bibo_abstract:
- '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 geometric results, for example,
the value of the topological Euler characteristic of the associated PGL(n,ℂ)-character
variety. The calculation also leads to several conjectures about the cohomology
of Mn: an explicit conjecture for its mixed Hodge polynomial; a conjectured curious
hard Lefschetz theorem and a conjecture relating the pure part to absolutely indecomposable
representations of a certain quiver. We prove these conjectures for n=2.@eng'
bibo_authorlist:
- foaf_Person:
foaf_givenName: Tamas
foaf_name: Tamas Hausel
foaf_surname: Hausel
foaf_workInfoHomepage: http://www.librecat.org/personId=4A0666D8-F248-11E8-B48F-1D18A9856A87
- foaf_Person:
foaf_givenName: Fernando
foaf_name: Rodríguez Villegas, Fernando
foaf_surname: Rodríguez Villegas
bibo_doi: 10.1007/s00222-008-0142-x
bibo_issue: '3'
bibo_volume: 174
dct_date: 2008^xs_gYear
dct_publisher: Springer@
dct_title: 'Mixed Hodge polynomials of character varieties: With an appendix by
Nicholas M. Katz@'
...