The pluripotential compactification of Teichmüller space

DOI10.1016/j.jmaa.2020.124643zbMath1461.30107OpenAlexW3090803911MaRDI QIDQ2226377

Kaige Jiang, Peijia Liu

Publication date: 12 February 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2020.124643

zbMATH Keywords

Teichmüller spaceextremal lengthplurisubharmonic function

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Teichmüller theory for Riemann surfaces (30F60) Plurisubharmonic functions and generalizations (32U05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Quadratic differentials and foliations
• (Pluri)potential compactifications
• Non-continuity of the action of the modular group at Bers' boundary of Teichmüller space
• Strengthening pseudoconvexity of finite-dimensional Teichmüller spaces
• Teichmüller rays and the Gardiner-Masur boundary of Teichmüller space
• The asymptotic geometry of Teichmüller space
• Bounded smooth strictly plurisubharmonic exhaustion functions on Teichmüller spaces
• Geodesic length functions and the Nielsen problem
• Pluricomplex Green functions on manifolds
• Extremal length geometry of teichmüller space
• Comparison of hyperbolic and extremal lengths
• The Green function of Teichmüller spaces with applications
• Variation of Extremal Length Functions on Teichmüller Space
• Extremal length functions are log-plurisubharmonic
• Pluripotential theory on Teichmüller space I: Pluricomplex Green function
• The Nielsen realization problem

This page was built for publication: The pluripotential compactification of Teichmüller space