Liftable mapping class groups of regular cyclic covers

Nikita Agarwal, Soumya Dey, Neeraj K. Dhanwani +1

Let $\mathrm{Mod}(S_g)$ be the mapping class group of the closed orientable surface of genus $g\ge 1$. For $k\ge 2$, we consider the standard $k$-sheeted regular cover $p_k: S_…