Pseudo–Anosov mapping classes from pure mapping classes

DOI10.1090/tran/7919zbMath1435.57017arXiv1611.05119OpenAlexW2962987433WikidataQ127613250 ScholiaQ127613250MaRDI QIDQ5206265

Yohsuke Watanabe

Publication date: 18 December 2019

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

Full work available at URL: https://arxiv.org/abs/1611.05119

zbMATH Keywords

Dehn twistmultitwistpseudo-Anosovsubsurface projectioncurve graphstable length

Mathematics Subject Classification ID

Group actions on manifolds and cell complexes in low dimensions (57M60) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)

Related Items

Counting conjugacy classes in groups with contracting elements

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Uniform hyperbolicity of the graphs of curves
• Uniform hyperbolicity of the curve graphs
• Uniform hyperbolicity of the curve graph via surgery sequences
• Minimal pseudo-Anosov translation lengths on the complex of curves
• Small dilatation pseudo-Anosov homeomorphisms and 3-manifolds
• The end of the curve complex
• Asymptotic geometry of the mapping class group and Teichmüller space
• Uniform bounds for bounded geodesic image theorems
• Constructing group actions on quasi-trees and applications to mapping class groups
• Bounds on exceptional Dehn filling. II
• Hyperbolic 3-manifolds and surface automorphisms
• Dehn fillings of large hyperbolic 3-manifolds
• Geometry of the complex of curves. II: Hierarchical structure
• Geometry of the complex of curves. I: Hyperbolicity
• Dehn twists and pseudo-Anosov diffeomorphisms
• How to construct all fibered knots and links
• Rank-1 phenomena for mapping class groups
• The maximal number of exceptional Dehn surgeries
• Asymptotic translation length in the curve complex
• 1-slim triangles and uniform hyperbolicity for arc graphs and curve graphs
• Tight geodesics in the curve complex
• A recipe for short-word pseudo-Anosovs
• Combinatorics of tight geodesics and stable lengths
• Intersection numbers and the hyperbolicity of the curve complex
• A Construction of Pseudo-Anosov Homeomorphisms
• On the geometry and dynamics of diffeomorphisms of surfaces

This page was built for publication: Pseudo–Anosov mapping classes from pure mapping classes