Large-scale rigidity properties of the mapping class groups

DOI10.2140/pjm.2018.293.1zbMath1427.20056OpenAlexW2758617479MaRDI QIDQ1679925

Brian H. Bowditch

Publication date: 22 November 2017

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://wrap.warwick.ac.uk/91088/8/WRAP-large-scale-rigidity-mapping-class-Bowditch-2017.pdf

zbMATH Keywords

rigiditymedianmapping class groupquasi-isometry

Mathematics Subject Classification ID

Geometric group theory (20F65) Topological methods in group theory (57M07) General geometric structures on low-dimensional manifolds (57M50) Teichmüller theory for Riemann surfaces (30F60)

Related Items (18)

Hierarchical hyperbolicity of graphs of multicurves ⋮ Commensurability of groups quasi-isometric to RAAGs ⋮ Morse quasiflats. II ⋮ Non-colorable hierarchically hyperbolic groups ⋮ Hierarchically hyperbolic spaces. II: Combination theorems and the distance formula ⋮ Coarse-median preserving automorphisms ⋮ Extensions of Veech groups. II: Hierarchical hyperbolicity and quasi-isometric rigidity ⋮ Graphs of curves on infinite-type surfaces with mapping class group actions ⋮ Large-scale geometry of the saddle connection graph ⋮ Rigidity of Teichmüller space ⋮ Quasiflats in hierarchically hyperbolic spaces ⋮ Median and injective metric spaces ⋮ Large-scale rank and rigidity of the Teichmüller metric ⋮ Superrigidity of actions on finite rank median spaces ⋮ The Tits alternative for finite rank median spaces ⋮ Homeomorphic subsurfaces and the omnipresent arcs ⋮ Large-scale rank and rigidity of the Weil-Petersson metric ⋮ Some properties of median metric spaces

Cites Work

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• Large-scale rank and rigidity of the Teichmüller metric
• Quasi-isometric maps between direct products of hyperbolic spaces
• Medians and Betweenness

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