--- res: bibo_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.@eng bibo_authorlist: - foaf_Person: foaf_givenName: Mark foaf_name: De Cataldo, Mark A foaf_surname: De Cataldo - 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: Luca foaf_name: Migliorini, Luca foaf_surname: Migliorini bibo_doi: 10.4007/annals.2012.175.3.7 bibo_issue: '3' bibo_volume: 175 dct_date: 2012^xs_gYear dct_publisher: Princeton University Press@ dct_title: 'Topology of hitchin systems and Hodge theory of character varieties: The case A 1@' ...