Geometry of the graphs of nonseparating curves: covers and boundaries

DOI10.1007/s10711-020-00550-6OpenAlexW3041760478MaRDI QIDQ2025647

Alexander J. Rasmussen

Publication date: 14 May 2021

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.13610

zbMATH Keywords

quasiconvexityGromov boundariescurve graphsinfinite type surfacessurgery on curves

Mathematics Subject Classification ID

Covering spaces and low-dimensional topology (57M10) 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)

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Cites Work

• Unnamed Item
• Uniform hyperbolicity of the curve graphs
• Covers and the curve complex
• On the geometry of graphs associated to infinite-type surfaces
• Geometry of the complex of curves. I: Hyperbolicity
• Infinite unicorn paths and Gromov boundaries
• Hyperbolicity of the graph of nonseparating multicurves
• The Gromov boundary of the ray graph
• Graphs of curves on infinite-type surfaces with mapping class group actions
• The geometry of the disk complex
• Uniform hyperbolicity of the graphs of nonseparating curves via bicorn curves
• Spectral theory of infinite-area hyperbolic surfaces