Branched projective structures with Fuchsian holonomy
Branched projective structures with Fuchsian holonomy
We prove that if S is a closed compact surface of genus g ≥ 2, and if ρ : π 1 (S) → PSL(2, C) is a quasi-Fuchsian representation, then the deformation space M k,ρ of branched projective structures on S with total branching order k and holonomy ρ is …