Dimension and rank for mapping class groups

DOI10.4007/annals.2008.167.1055zbMath1280.57015arXivmath/0512352OpenAlexW2123890277MaRDI QIDQ2389106

Yair N. Minsky, Jason A. Behrstock

Publication date: 14 July 2009

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0512352

zbMATH Keywords

mapping class groups

Mathematics Subject Classification ID

Geometric group theory (20F65) General geometric structures on low-dimensional manifolds (57M50) Asymptotic properties of groups (20F69)

Related Items (28)

Curve Complexes Versus Tits Buildings: Structures and Applications ⋮ Asymptotic geometry of the mapping class group and Teichmüller space ⋮ Small intersection numbers in the curve graph ⋮ Distortion for abelian subgroups of Out(Fn) ⋮ Large-scale rigidity properties of the mapping class groups ⋮ Rotation sets and actions on curves ⋮ Hierarchy paths in the Hatcher-Thurston complex ⋮ Convex cocompactness and stability in mapping class groups ⋮ The asymptotic cone of Teichmüller space and thickness ⋮ Constructing group actions on quasi-trees and applications to mapping class groups ⋮ Asymptotic cones and Assouad-Nagata dimension ⋮ The augmented marking complex of a surface ⋮ Geometry and rigidity of mapping class groups. ⋮ Hyperbolic Actions and 2nd Bounded Cohomology of Subgroups of 𝖮𝗎𝗍(𝖥_{𝗇}) ⋮ Graphs of curves on infinite-type surfaces with mapping class group actions ⋮ Weil-Petersson geometry of Teichmüller-Coxeter complex and its finite rank property ⋮ Reduction theory for mapping class groups and applications to moduli spaces ⋮ Products of Farey graphs are totally geodesic in the pants graph ⋮ Quasiflats in hierarchically hyperbolic spaces ⋮ Uniform hyperbolicity of the graphs of nonseparating curves via bicorn curves ⋮ Coarse and synthetic Weil-Petersson geometry: Quasi-flats, geodesics and relative hyperbolicity ⋮ Geometric group theory and hyperbolic geometry: recent contributions from Indian mathematicians ⋮ Elliptic actions on Teichmüller space ⋮ Higher dimensional divergence for mapping class groups ⋮ Hyperbolic structures for Artin-Tits groups of spherical type ⋮ Large-scale rank and rigidity of the Weil-Petersson metric ⋮ 1-slim triangles and uniform hyperbolicity for arc graphs and curve graphs ⋮ Hierarchically hyperbolic spaces. I: Curve complexes for cubical groups

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