Mirror symmetry for moduli spaces of Higgs bundles via p-adic integration

Michael Groechenig, Dimitri Wyss, Paul Ziegler

We prove the Topological Mirror Symmetry Conjecture by Hausel-Thaddeus for smooth moduli spaces of Higgs bundles of type ${\mathrm{SL}}_n$ and ${\mathrm{PGL}}_n$. More prec…