Elliptic actions on Teichmüller space
DOI10.4171/GGD/494zbMath1427.57009arXiv1412.8559OpenAlexW2962778441MaRDI QIDQ2319839
Publication date: 20 August 2019
Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1412.8559
Teichmüller spacemapping class groupgeometric group theoryNielsen realizationaugmented marking complexcoarse barycenterhierarchy paths
Geometric group theory (20F65) General geometric structures on low-dimensional manifolds (57M50) Teichmüller theory for Riemann surfaces (30F60) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Linearly bounded conjugator property for mapping class groups
- Realisation and dismantlability
- Hyperbolicity in Teichmüller space
- Length of a curve is quasi-convex along a Teichmüller geodesic
- Asymptotic geometry of the mapping class group and Teichmüller space
- The classification of Kleinian surface groups. I: Models and bounds
- Dehn filling in relatively hyperbolic groups.
- Covers and the curve complex
- Chern forms and the Riemann tensor for the moduli space of curves
- On a class of geodesics in Teichmüller space
- The extension of the Weil-Petersson metric to the boundary of Teichmüller space
- Teichmüller geodesics and ends of hyperbolic 3-manifolds
- Convergence groups and Seifert fibered 3-manifolds
- Geometry of the complex of curves. II: Hierarchical structure
- Geometry of the complex of curves. I: Hyperbolicity
- Convex cocompact subgroups of mapping class groups
- Geodesic length functions and the Nielsen problem
- The Weil-Petersson isometry group
- Dirichlet's energy on Teichmüller's moduli space and the Nielsen realization problem
- Extremal length estimates and product regions in Teichmüller space
- Large-scale rank of Teichmüller space
- Dimension and rank for mapping class groups
- A combinatorial model for the Teichmüller metric
- Handbook of Teichmüller theory. Volume I
- Some remarks on Teichmüller's space of Riemann surfaces
- The Weil-Petersson visual sphere
- The Weil-Petersson metric geometry
- A Comparison of Metrics on Teichmuller Space
- The Weil-Petersson metric and volumes of 3-dimensional hyperbolic convex cores
- Shearing coordinates and convexity of length functions on Teichmüller space
- The Nielsen realization problem
- Convergence groups are Fuchsian groups
- Mapping class groups are automatic
This page was built for publication: Elliptic actions on Teichmüller space
