@article{1472,
abstract = {For G = GL 2, PGL 2, SL 2 we prove that the perverse filtration associated with the Hitchin map on the rational cohomology of the moduli space of twisted G-Higgs bundles on a compact Riemann surface C agrees with the weight filtration on the rational cohomology of the twisted G character variety of C when the cohomologies are identified via non-Abelian Hodge theory. The proof is accomplished by means of a study of the topology of the Hitchin map over the locus of integral spectral curves.},
author = {De Cataldo, Mark A and Tamas Hausel and Migliorini, Luca},
journal = {Annals of Mathematics},
number = {3},
pages = {1329 -- 1407},
publisher = {Princeton University Press},
title = {{Topology of hitchin systems and Hodge theory of character varieties: The case A 1}},
doi = {10.4007/annals.2012.175.3.7},
volume = {175},
year = {2012},
}