Minimal Asymptotic Translation Lengths of Torelli Groups and Pure Braid Groups on the Curve Graph

DOI10.1093/imrn/rny273zbMath1466.57009arXiv1802.04507OpenAlexW2964270062WikidataQ128874782 ScholiaQ128874782MaRDI QIDQ5854270

Hyunshik Shin, Hyungryul Baik

Publication date: 16 March 2021

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.04507

zbMATH Keywords

braid groupssurfacesmapping classpseudo-Anosov homeomorphismTorelli groupstrain trackBestvina-Handel algorithmstable translation length

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Topological methods in group theory (57M07) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)

Related Items (5)

Acylindricity of the action of right-angled Artin groups on extension graphs ⋮ Asymptotic translation lengths and normal generation for pseudo-Anosov monodromies of fibered 3-manifolds ⋮ Topological and dynamical properties of Torelli groups of partitioned surfaces ⋮ On translation lengths of Anosov maps on the curve graph of the torus ⋮ On the finiteness property of hyperbolic simplicial actions: the right-angled Artin groups and their extension graphs

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