TY - JOUR
AB - 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.
AU - De Cataldo, Mark A
AU - Tamas Hausel
AU - Migliorini, Luca
ID - 1472
IS - 3
JF - Annals of Mathematics
TI - Topology of hitchin systems and Hodge theory of character varieties: The case A 1
VL - 175
ER -