Holonomy map fibers of $\mathbb{C}{\mathrm{P}}^1$-structures in moduli space

Shinpei Baba, Subhojoy Gupta

Let $S$ be a closed oriented surface of genus $g\ge 2$. Fix an arbitrary non-elementary representation $\rho :{\pi }_1(S)\to {\mathrm{SL}}_2(\mathbb{C})$ and consider all marked (complex)…