Matching arc complexes: connectedness and hyperbolicity

DOI10.1016/j.exmath.2021.10.002OpenAlexW3211560313MaRDI QIDQ2144312

Alejandro Fernandez, Javier Aramayona, Rodrigo de Pool

Publication date: 1 June 2022

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.05811

zbMATH Keywords

mapping class grouphyperbolicitymatching arc complex

Mathematics Subject Classification ID

Geometric group theory (20F65) Connectivity (05C40) Infinite graphs (05C63)

Cites Work

• The braided Thompson's groups are of type \(F_\infty\)
• 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. I: Hyperbolicity
• Geometric structures related to the braided Thompson groups
• 1-slim triangles and uniform hyperbolicity for arc graphs and curve graphs
• The hyperbolicity of the sphere complex via surgery paths
• Graphs of curves on infinite-type surfaces with mapping class group actions
• The geometry of the disk complex

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