Branched projective structures on a Riemann surface and logarithmic connections

Indranil Biswas, Sorin Dumitrescu, Subhojoy Gupta

We study the set ${\mathcal{P}}_S$ consisting of all branched holomorphic projective structures on a compact Riemann surface $X$ of genus $g\ge 1$ and with a fixed branching divis…