Mapping class group orbit closures for non-orientable surfaces

Abstract

Let $S$ be a connected non-orientable surface with negative Euler characteristic and of finite type. We describe the possible closures in $\mathcal{ML}$ and $\mathcal{P}\mathcal{ML}$ of the mapping class group orbits of measured laminations, projective measured laminations and points in Teichmüller space. In particular we obtain a characterization of the closure in $\mathcal{ML}$ of the set of weighted two-sided curves.

55 pages