Uniform hyperbolicity of the graphs of nonseparating curves via bicorn curves

DOI10.1090/PROC/14880zbMath1481.57022arXiv1707.08283OpenAlexW2982424286WikidataQ126862618 ScholiaQ126862618MaRDI QIDQ4959714

Alexander J. Rasmussen

Publication date: 7 April 2020

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

Full work available at URL: https://arxiv.org/abs/1707.08283

Mathematics Subject Classification ID

Geometric group theory (20F65) Topological methods in group theory (57M07) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)

Related Items (9)

Hierarchical hyperbolicity of graphs of multicurves ⋮ Distance and intersection number in the curve graph of a surface ⋮ Rotation sets and actions on curves ⋮ Two simultaneous actions of big mapping class groups ⋮ Graphs of curves on infinite-type surfaces with mapping class group actions ⋮ Quasi-morphisms on surface diffeomorphism groups ⋮ Geometry of the graphs of nonseparating curves: covers and boundaries ⋮ Origami edge-paths in the curve graph ⋮ Big Mapping Class Groups: An Overview

Cites Work

• Hyperbolicity of the ray graph and quasimorphism on a big modular group
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• Algebraic and topological properties of big mapping class groups
• Geometry of the complex of curves. I: Hyperbolicity
• A note on acylindrical hyperbolicity of mapping class groups
• 1-slim triangles and uniform hyperbolicity for arc graphs and curve graphs
• Dimension and rank for mapping class groups
• Hyperbolicity of the graph of nonseparating multicurves
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• Graphs of curves on infinite-type surfaces with mapping class group actions
• The geometry of the disk complex
• Hyperbolically embedded subgroups and rotating families in groups acting on hyperbolic spaces
• Arc and curve graphs for infinite-type surfaces

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