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Paper

Betti numbers of the moduli space of Higgs bundles over a real curve

Abstract

We produce a formula for the -Betti numbers of the moduli space of stable real Higgs bundles over a real projective curve, with coprime rank and degree . Our approach relies on the motivic formula for the moduli space due to Mellit, Fedorov-Soibelman-Soibelman, and Schiffmann , and the fact that the virtual Poincaré polynomial is a motivic measure over .