Right-angled Artin groups in the \(C^\infty\) diffeomorphism group of the real line

DOI10.1007/s11856-016-1307-8zbMath1398.20045arXiv1404.5559OpenAlexW3105501131MaRDI QIDQ314395

Thomas Koberda, Sang-hyun Kim, Hyungryul Baik

Publication date: 16 September 2016

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.5559

zbMATH Keywords

right-angled Artin groups\(C^\infty\) diffeomorphismcube complexesdisjointness graphlimit groupvirtually special group

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Residual properties and generalizations; residually finite groups (20E26)

Related Items (6)

Surface groups of diffeomorphisms of the interval ⋮ Small \(C^1\) actions of semidirect products on compact manifolds ⋮ Direct products, overlapping actions, and critical regularity ⋮ Quasi-isometry invariants of weakly special square complexes ⋮ Unsmoothable group actions on compact one-manifolds ⋮ Diffeomorphism groups of critical regularity

Cites Work

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• Polynomial growth in holonomy groups of foliations
• 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
• RAAGs in Ham
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• A boundary criterion for cubulation
• Quasi-isometrically embedded subgroups of braid and diffeomorphism groups
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• Hyperplane sections in arithmetic hyperbolic manifolds
• The solution to a conjecture of Tits on the subgroup generated by the squares of the generators of an Artin group
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