Geometric approaches to braid groups and mapping class groups

DOI10.5802/wbln.9zbMath1431.57024OpenAlexW2472781984MaRDI QIDQ5234874

Juan González-Meneses

Publication date: 7 October 2019

Published in: Winter Braids Lecture Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/wbln.9

Mathematics Subject Classification ID

Topological methods in group theory (57M07) General geometric structures on low-dimensional manifolds (57M50) Hyperbolic groups and nonpositively curved groups (20F67)

Cites Work

• Uniform hyperbolicity of the graphs of curves
• Uniform hyperbolicity of the curve graphs
• Uniform hyperbolicity of the curve graph via surgery sequences
• Curve complexes are rigid
• On triangulations of surfaces
• The virtual cohomological dimension of the mapping class group of an orientable surface
• Geometry of the complex of curves. I: Hyperbolicity
• Discrete groups generated by reflections
• The \(n\)th root of a braid is unique up to conjugacy.
• 1-slim triangles and uniform hyperbolicity for arc graphs and curve graphs
• Foundations of Garside theory
• Fast Nielsen-Thurston classification of braids.
• Theory of braids
• Braid groups and Artin groups
• On the geometry and dynamics of diffeomorphisms of surfaces
• Braids, Links, and Mapping Class Groups. (AM-82)
• Gaussian Groups and Garside Groups, Two Generalisations of Artin Groups
• On the structure of the centralizer of a braid
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