Half-unknotted 2-orbifolds in orientable spherical 3-orbifolds
If an embedding of a 2-orbifold in an orientable spherical 3-orbifold splits the 3-orbifold into two parts such that at least one part is a handlebody orbifold, then we call it half-unknotted. We will give different kinds of algebraic conditions on the embedding such that it is half-unknotted. The results will be applied to questions about extendable actions on surfaces. As an example, we will show that embeddings realizing the maximum order of extendable cyclic actions on genus g > 1 surfaces must be unknotted.
EUT Edizioni Università di Trieste
Chao Wang, "Half-unknotted 2-orbifolds in orientable spherical 3-orbifolds" in: "Rendiconti dell’Istituto di matematica dell’Università di Trieste: an International Journal of Mathematics vol. 52 (2020)", EUT Edizioni Università di Trieste, Trieste, 2020