We calculate the E-polynomials of certain twisted GL (n, ℂ)-character varieties M_n of
Riemann surfaces by counting points over finite fields using the character table of the finite …

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 …

We study the topology of Hitchin fibrations via abelian surfaces. We establish the P= W
conjecture for genus $2 $ curves and arbitrary rank. In higher genus and arbitrary rank, we …

We define and study the existence of very stable Higgs bundles on Riemann surfaces, how it
implies a precise formula for the multiplicity of the very stable components of the global …

We study the interaction between Fourier-Mukai transforms and perverse filtrations for a
certain class of dualizable abelian fibrations. Multiplicativity of the perverse filtration and the" …

Generators of the cohomology ring of moduli spaces of sheaves on symplectic surfaces Page
1 J. reine angew. Math. 544 (2002), 61—82 Journal fr die reine und angewandte Mathematik …

We prove an explicit formula for the Poincaré polynomials of parabolic character varieties of
Riemann surfaces with semisimple local monodromies, which was conjectured by Hausel …

We establish P= W and PI= WI conjectures for character varieties with structural group GLn
and SLn which admit a symplectic resolution, ie, for genus 1 and arbitrary rank, and genus 2 …

Let M be a smooth and compact moduli space of stable coherent sheaves on a projective
surface S with an effective (or trivial) anti-canonical line bundle. We find generators for the …

For we compute the intersection E-polynomials and the intersection Poincaré polynomials of
the G-character variety of a compact Riemann surface C and of the moduli space of G-Higgs …