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Article Dans Une Revue Geometric And Functional Analysis Année : 2023

Mapping class group orbit closures for non-orientable surfaces

Résumé

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.

Dates et versions

hal-03439206 , version 1 (22-11-2021)

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Citer

Viveka Erlandsson, Matthieu Gendulphe, Irene Pasquinelli, Juan Souto. Mapping class group orbit closures for non-orientable surfaces. Geometric And Functional Analysis, 2023, 33 (3), pp.637-693. ⟨10.1007/s00039-023-00638-7⟩. ⟨hal-03439206⟩
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