Weil–Petersson isometries via the pants complex

DOI10.1090/S0002-9939-06-08577-7zbMath1110.32004arXivmath/0412499OpenAlexW1591527301MaRDI QIDQ3420052

Dan Margalit, Jeffrey F. Brock

Publication date: 1 February 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0412499

zbMATH Keywords

Teichmüller spacemapping class groupWeil-Petersson metriccomplex of curvesisometry.complex of pants

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Local differential geometry of Hermitian and Kählerian structures (53B35) Teichmüller theory for Riemann surfaces (30F60) Complex spaces with a group of automorphisms (32M99)

Related Items (12)

Simplicial embeddings between pants graphs ⋮ Growth of the Weil-Petersson inradius of moduli space ⋮ The extended mapping class group can be generated by two torsions ⋮ Local rigidity of the Teichmüller space with the Thurston metric ⋮ An algebraic formulation of Thurston's characterization of rational functions ⋮ Geometry of the Funk metric on Weil-Petersson spaces ⋮ Growth of the Weil-Petersson diameter of moduli space ⋮ Augmented Teichmüller spaces and orbifolds ⋮ Products of Farey graphs are totally geodesic in the pants graph ⋮ Automorphisms of graphs of cyclic splittings of free groups. ⋮ Limit sets of Weil–Petersson geodesics with nonminimal ending laminations ⋮ Large-scale rank and rigidity of the Weil-Petersson metric

Cites Work

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• Automorphisms of complexes of curves on punctured spheres and on punctured tori
• Automorphisms of the pants complex
• Automorphisms of the complex of curves
• Geodesic length functions and the Nielsen problem
• The Weil-Petersson isometry group
• The Weil-Petersson visual sphere
• Abelian minimal surfaces
• Classification of Weil-Petersson isometries
• The Weil-Petersson metric and volumes of 3-dimensional hyperbolic convex cores
• On the Teichmüller tower of mapping class groups

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