Mapping class group orbit closures for non-orientable surfaces

Viveka  Erlandsson; Mathieu Gendulphe; Irene Pasquinelli; Juan  Souto

doi:10.1007/s00039-023-00638-7

Mapping class group orbit closures for non-orientable surfaces

Viveka Erlandsson^*, Mathieu Gendulphe, Irene Pasquinelli, Juan Souto

^*Corresponding author for this work

School of Mathematics

Research output: Contribution to journal › Article (Academic Journal) › peer-review

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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 ML and PML 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 ML of the set of weighted two-sided curves.

Original language	English
Pages (from-to)	637-693
Number of pages	57
Journal	Geometric and Functional Analysis
Volume	33
Issue number	3
Early online date	12 May 2023
DOIs	https://doi.org/10.1007/s00039-023-00638-7
Publication status	Published - 1 Jun 2023

Bibliographical note

Funding Information:
The first and third authors gratefully acknowledge support from EPSRC grant EP/T015926/1. This research was also supported by the UiT Aurora project MASCOT. No data was used in this research.

Publisher Copyright:
© 2023, The Author(s).

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https://arxiv.org/pdf/2110.02644.pdf

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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 ML and PML of the mapping class group orbits of measured laminations, projective measured laminations and points in Teichm{\"u}ller space. In particular we obtain a characterization of the closure in ML of the set of weighted two-sided curves.",

author = "Viveka Erlandsson and Mathieu Gendulphe and Irene Pasquinelli and Juan Souto",

note = "Funding Information: The first and third authors gratefully acknowledge support from EPSRC grant EP/T015926/1. This research was also supported by the UiT Aurora project MASCOT. No data was used in this research. Publisher Copyright: {\textcopyright} 2023, The Author(s).",

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T1 - Mapping class group orbit closures for non-orientable surfaces

AU - Erlandsson, Viveka

AU - Gendulphe, Mathieu

AU - Pasquinelli, Irene

AU - Souto, Juan

N1 - Funding Information: The first and third authors gratefully acknowledge support from EPSRC grant EP/T015926/1. This research was also supported by the UiT Aurora project MASCOT. No data was used in this research. Publisher Copyright: © 2023, The Author(s).

PY - 2023/6/1

Y1 - 2023/6/1

N2 - Let S be a connected non-orientable surface with negative Euler characteristic and of finite type. We describe the possible closures in ML and PML 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 ML of the set of weighted two-sided curves.

AB - Let S be a connected non-orientable surface with negative Euler characteristic and of finite type. We describe the possible closures in ML and PML 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 ML of the set of weighted two-sided curves.

U2 - 10.1007/s00039-023-00638-7

DO - 10.1007/s00039-023-00638-7

M3 - Article (Academic Journal)

SN - 1016-443X

VL - 33

SP - 637

EP - 693

JO - Geometric and Functional Analysis

JF - Geometric and Functional Analysis

IS - 3

ER -

Mapping class group orbit closures for non-orientable surfaces

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