Generating the liftable mapping class groups of cyclic covers of spheres

Pankaj Kapari, Kashyap Rajeevsarathy, Apeksha Sanghi

For $g\ge 2$, let $\text{Mod}(S_g)$ be the mapping class group of closed orientable surface $S_g$ of genus $g$. In this paper, we derive a finite generating set for the liftable m…