A new boundary of the mapping class group

DOI10.1007/s10114-023-1503-5zbMath1520.30065arXiv2302.06850MaRDI QIDQ6113757

Lixin Liu, Yaozhong Shi

Publication date: 11 July 2023

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2302.06850

zbMATH Keywords

Teichmüller spacemapping class groupmeasured foliation

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Teichmüller theory for Riemann surfaces (30F60)

Cites Work

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• Teichmüller rays and the Gardiner-Masur boundary of Teichmüller space
• Geometry of the mapping class groups. I: Boundary amenability
• The geometry of Teichmüller space via geodesic currents
• Group completions and limit sets of Kleinian groups
• The asymptotic geometry of Teichmüller space
• Geometry of the complex of curves. I: Hyperbolicity
• Dynamics on Thurston's sphere of projective measured foliations
• The Poisson boundary of the mapping class group
• Teichmüller rays and the Gardiner-Masur boundary of Teichmüller space. II
• The asymptotic geometry of the Teichmüller metric
• Thurston's Work on Surfaces (MN-48)
• Extremal length geometry of teichmüller space
• The horoboundary and isometry group of Thurston's Lipschitz metric

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