Geometric realizations of cyclic actions on surfaces

Shiv Parsad, Kashyap Rajeevsarathy, Bidyut Sanki

Let $\text{Mod}(S_g)$ denote the mapping class group of the closed orientable surface $S_g$ of genus $g\ge 2$, and let $f\in \text{Mod}(S_g)$ be of finite order. We give an induc…