Hyperbolicity of the graph of nonseparating multicurves

DOI10.2140/AGT.2014.14.1759zbMath1297.57038arXiv1304.4307OpenAlexW2040282328MaRDI QIDQ2453737

Ursula Hamenstädt

Publication date: 10 June 2014

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.4307

zbMATH Keywords

hyperbolicitycurve graph of a surfacegraph of multicurves

Mathematics Subject Classification ID

Geometric group theory (20F65) General geometric structures on low-dimensional manifolds (57M50)

Related Items (11)

Hierarchical hyperbolicity of graphs of multicurves ⋮ On the geometry of graphs associated to infinite-type surfaces ⋮ Thickness and relative hyperbolicity for graphs of multicurves ⋮ Connectivity of the Gromov boundary of the free factor complex ⋮ Geometry of the graphs of nonseparating curves: covers and boundaries ⋮ Origami edge-paths in the curve graph ⋮ Uniform hyperbolicity of the graphs of nonseparating curves via bicorn curves ⋮ Commensurations of subgroups of 𝑂𝑢𝑡(𝐹_{𝑁}) ⋮ Big Mapping Class Groups: An Overview ⋮ Unicorn paths and hyperfiniteness for the mapping class group ⋮ Hyperbolic relatively hyperbolic graphs and disk graphs

Cites Work

• Uniform hyperbolicity of the graphs of curves
• Uniform hyperbolicity of the curve graphs
• Uniform hyperbolicity of the curve graph via surgery sequences
• Geometry of the complex of curves. II: Hierarchical structure
• Geometry of the complex of curves. I: Hyperbolicity
• 1-slim triangles and uniform hyperbolicity for arc graphs and curve graphs
• The geometry of the disk complex

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