The Riemann-Hilbert mapping for ${\mathfrak{sl}}_2$ -systems over genus two curves

Gabriel Calsamiglia, Bertrand Deroin, Viktoria Heu +1

We prove in two different ways that the monodromy map from the space of irreducible ${\mathfrak{sl}}_2$-differential-systems on genus two Riemann surfaces, towards the character vari…