On the types of the mixed Hodge structures of character varieties
Algebraic Geometry
2014-07-15 v2
Abstract
In this paper, we show that the mixed Hodge structures of character varieties are of Hodge--Tate type and that the mixed Hodge polynomials are independent of the choice of generic eigenvalues, which is a conjecture due to Hausel, Letellier and Rodriguez-Villegas. Moreover, we investigate the mixed Hodge structures of the moduli space of semistable parabolic Higgs bundles and the moduli space of semistable regular singular parabolic connections. We show that the mixed Hodge structures of these moduli spaces are pure.
Keywords
Cite
@article{arxiv.1406.2806,
title = {On the types of the mixed Hodge structures of character varieties},
author = {Arata Komyo},
journal= {arXiv preprint arXiv:1406.2806},
year = {2014}
}
Comments
This paper has been withdrawn by the author due to a some errors in proof of Theorem 4.0.12