Tail equivalence of unicorn paths

Abstract: Let $S$ be an orientable surface of finite type. Using Pho-On's infinite unicorn paths, we prove hyperfiniteness of the orbit equivalence relation coming from the action of the mapping class group of $S$ on the Gromov boundary of the arc graph of $S$. This is joint work with Marcin Sabok.

group theorygeometric topologymetric geometry

Audience: researchers in the topic

McGill geometric group theory seminar