Mapping class group orbit closures for non-orientable surfaces

Viveka Erlandsson; Matthieu Gendulphe; Irene Pasquinelli; Juan Souto

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arXiv · 2110.02644

Mapping class group orbit closures for non-orientable surfaces

Viveka Erlandsson·Matthieu Gendulphe·Irene Pasquinelli·Juan Souto

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Abstract

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

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BibTeX RIS

Viveka Erlandsson, Matthieu Gendulphe, Irene Pasquinelli, Juan Souto. 2021-10-06. Mapping class group orbit closures for non-orientable surfaces. https://arxiv.org/abs/2110.02644

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