Torelli theorem for the moduli spaces of connections on a Riemann surface

Indranil Biswas, Vicente Munoz

Let $(X,x_0)$ be any one--pointed compact connected Riemann surface of genus $g$, with $g\ge 3$. Fix two mutually coprime integers $r>1$ and $d$. Let ${\mathcal{M}}_X$ denote the m…