Convergence of some horocyclic deformations to the Gardiner-Masur boundary

DOI10.5186/aasfm.2016.4132zbMath1370.30021arXiv1506.07665OpenAlexW2963618542MaRDI QIDQ2790832

Vincent Alberge

Publication date: 8 March 2016

Published in: Annales Academiae Scientiarum Fennicae Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.07665

zbMATH Keywords

Teichmüller spaceextremal lengthTeichmüller distanceThurston boundaryGardiner-Masur boundaryTeichmüller discThurston asymmetric metric

Mathematics Subject Classification ID

Invariant metrics and pseudodistances in several complex variables (32F45) Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Teichmüller theory for Riemann surfaces (30F60)

Related Items

On the properties of various compactifications of Teichmüller space ⋮ Convergence of earthquake and horocycle paths to the boundary of Teichmüller space ⋮ A divergent horocycle in the horofunction compactification of the Teichmüller metric ⋮ Convergence of Teichmüller deformations in the universal Teichmüller space

Cites Work

• Unification of extremal length geometry on Teichmüller space via intersection number
• Quadratic differentials and foliations
• Teichmüller rays and the Gardiner-Masur boundary of Teichmüller space
• On elementary antistretch lines
• The asymptotic geometry of Teichmüller space
• On Thurston's boundary of Teichmüller space and the extension of earthquakes
• On a class of geodesics in Teichmüller space
• Two boundaries of Teichmüller space
• Teichmüller rays and the Gardiner-Masur boundary of Teichmüller space. II
• Teichmüller geodesics that do not have a limit in \(\mathcal PMF\)
• Extremal length geometry of teichmüller space
• A foliation of Teichmüller space by twist invariant disks.
• The horoboundary and isometry group of Thurston's Lipschitz metric
• The horofunction compactification of Teichm\"uller metric
• On the topology defined by Thurston's asymmetric metric
• On the classification of mapping class actions on Thurston's asymmetric metric
• The Nielsen realization problem
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item