Asymptotic dimensions of the arc graphs and disk graphs

DOI10.2140/agt.2024.24.2655MaRDI QIDQ6614583

Saul Schleimer, Koji Fujiwara

Publication date: 7 October 2024

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

zbMATH Keywords

metric spacequasi-isometryasymptotic dimensioncurve complexdisk complexquasitreearc complex

Mathematics Subject Classification ID

Geometric group theory (20F65) Asymptotic properties of groups (20F69) Group actions on manifolds and cell complexes in low dimensions (57M60) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)

Cites Work

• Unnamed Item
• Unnamed Item
• Asymptotic geometry of the mapping class group and Teichmüller space
• Constructing group actions on quasi-trees and applications to mapping class groups
• Asymptotic dimension
• Geometry of the complex of curves. II: Hierarchical structure
• Geometry of the complex of curves. I: Hyperbolicity
• Hierarchical hyperbolicity of graphs of multicurves
• Uniform uniform exponential growth of subgroups of the mapping class group
• On the asymptotic dimension of the curve complex
• Cobordism of automorphisms of surfaces
• The geometry of the disk complex
• Asymptotic dimension and the disk graph II
• Automorphisms of the compression body graph
• Asymptotic dimension and small-cancellation for hierarchically hyperbolic spaces and groups
• The asymptotic dimension of a curve graph is finite
• Automorphisms of three-dimensional handlebodies

This page was built for publication: Asymptotic dimensions of the arc graphs and disk graphs