Fenchel-Nielsen coordinates of the branch loci of cyclic actions

Atreyee Bhattacharya, Satyajit Maity, Kashyap Rajeevsarathy

Let $S_g$ be a closed, connected, and oriented smooth surface of genus $g\ge 2$. Let the mapping class group of $S_g$ be denoted by $\mathrm{Mod}(S_g)$ and the Teichmüller space…