Poincaré polynomials of moduli spaces of Higgs bundles and character varieties (no punctures)
Poincaré polynomials of moduli spaces of Higgs bundles and character varieties (no punctures)
Abstract Using our earlier results on polynomiality properties of plethystic logarithms of generating series of certain type, we show that Schiffmann’s formulas for various counts of Higgs bundles over finite fields can be reduced to much simpler formulas conjectured by Mozgovoy. In particular, our result implies the conjecture of Hausel …