Pseudo-Anosovs optimizing the ratio of Teichmüller to curve graph translation length

DOI10.1090/conm/696/14014zbMath1385.37047arXiv1510.00995OpenAlexW2256305399MaRDI QIDQ4635320

Samuel J. Taylor, Tarik Aougab

Publication date: 16 April 2018

Published in: Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.00995

zbMATH Keywords

mapping class groupcurve complex

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Teichmüller theory for Riemann surfaces (30F60) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (6)

Asymptotic translation lengths and normal generation for pseudo-Anosov monodromies of fibered 3-manifolds ⋮ LOWER BOUNDS OF LIPSCHITZ CONSTANTS TO CURVE COMPLEXES OF PUNCTURED RIEMANN SURFACES ⋮ Minimally intersecting filling pairs on the punctured surface of genus two ⋮ On translation lengths of Anosov maps on the curve graph of the torus ⋮ Least dilatation of pure surface braids ⋮ Single-cylinder square-tiled surfaces and the ubiquity of ratio-optimising pseudo-Anosovs

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Lipschitz constants to curve complexes for punctured surfaces
• Uniform bounds for bounded geodesic image theorems
• On the structure of the Torelli group and the Casson invariant
• Geometry of the complex of curves. II: Hierarchical structure
• Geometry of the complex of curves. I: Hyperbolicity
• Minimally intersecting filling pairs on surfaces
• On groups generated by two positive multi-twists: Teichmüller curves and Lehmer's number
• Lipschitz constants to curve complexes
• Tight geodesics in the curve complex
• A recipe for short-word pseudo-Anosovs
• Small intersection numbers in the curve graph
• Dilatation versus self-intersection number for point-pushing pseudo-Anosov homeomorphisms
• A survey of the Torelli group
• Bounds on Least Dilatations
• The lower central series and pseudo-Anosov dilatations
• On the geometry and dynamics of diffeomorphisms of surfaces

This page was built for publication: Pseudo-Anosovs optimizing the ratio of Teichmüller to curve graph translation length