Embedding periodic maps on surfaces into those on $S^3$

Yu Guo, Chao Wang, Shicheng Wang +1

Call a periodic map $h$ on the closed orientable surface ${\Sigma }_g$ extendable if $h$ extends to a periodic map over the pair $(S^3,{\Sigma }_g)$ for possible embeddings $e:{\Sigma }_g\to S^3$. We de…