An upper bound on the asymptotic translation lengths on the curve graph and fibered faces

DOI10.1512/iumj.2021.70.8328zbMath1476.30151arXiv1801.06638OpenAlexW3198909452MaRDI QIDQ3380492

Hyunshik Shin, Hyungryul Baik, Chenxi Wu

Publication date: 29 September 2021

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.06638

zbMATH Keywords

curve complexpseudo-Anosovfibered faceasymptotic translation lengthfibered cone

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) General geometric structures on low-dimensional manifolds (57M50) Teichmüller theory for Riemann surfaces (30F60)

Related Items (3)

Fibrations of 3-manifolds and asymptotic translation length in the arc complex ⋮ Asymptotic translation lengths and normal generation for pseudo-Anosov monodromies of fibered 3-manifolds ⋮ On the finiteness property of hyperbolic simplicial actions: the right-angled Artin groups and their extension graphs

Cites Work

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• Minimal pseudo-Anosov translation lengths on the complex of curves
• Lipschitz constants to curve complexes for punctured surfaces
• Geometry of the complex of curves. I: Hyperbolicity
• Small asymptotic translation lengths of pseudo-Anosov maps on the curve complex
• Asymptotic translation length in the curve complex
• Lipschitz constants to curve complexes
• Tight geodesics in the curve complex
• Polynomial invariants for fibered 3-manifolds and Teichmüller geodesics for foliations
• Quotient families of mapping classes

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