The complexity of pinning simple multiloops

Eric Seo, Christopher-Lloyd Simon, Ben Stucky

A multiloop with $s\in \mathbb{N}$ strands is a generic immersion $\gamma :{\bigsqcup }_1^s{\mathbb{S}}^1\looparrowright \Sigma$ of the union of $s$ circles into a surface $\Sigma$, considered up…