The geometry of the curve graph of a right-angled Artin group

DOI10.1142/S021819671450009XzbMath1342.20042arXiv1305.4363OpenAlexW2963306825MaRDI QIDQ5418656

Thomas Koberda, Sang-hyun Kim

Publication date: 26 May 2014

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.4363

zbMATH Keywords

coarse geometrymapping class groupsright-angled Artin groupscurve complexescurve graphsextension graphsactions on graphs

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Topological methods in group theory (57M07)

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Cites Work

• Geometry and rigidity of mapping class groups.
• Curve complexes are rigid
• Abelian and solvable subgroups of the mapping class group
• Injections of mapping class groups
• Co-contractions of graphs and right-angled Artin groups.
• The asymptotic geometry of right-angled Artin groups. I.
• Geometry of the complex of curves. II: Hierarchical structure
• Geometry of the complex of curves. I: Hyperbolicity
• Automorphisms of graph groups.
• Embeddings of graph braid and surface groups in right-angled Artin groups and braid groups.
• Right-angled Artin groups and a generalized isomorphism problem for finitely generated subgroups of mapping class groups
• Embeddability between right-angled Artin groups..
• The simplicial boundary of a CAT(0) cube complex
• Tight geodesics in the curve complex
• The Weil-Petersson metric and volumes of 3-dimensional hyperbolic convex cores
• Relatively hyperbolic groups
• Relative hyperbolicity and Artin groups.

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