An Upper Bound for the Least Dilatation

DOI10.2307/2154169zbMath0754.57007OpenAlexW4243004594MaRDI QIDQ4000838

Max Bauer

Publication date: 26 September 1992

Full work available at URL: https://doi.org/10.2307/2154169

zbMATH Keywords

dilatationpseudo-Anosov homeomorphismclosed surface

Mathematics Subject Classification ID

Related Items (13)

On groups generated by two positive multi-twists: Teichmüller curves and Lehmer's number ⋮ Remarks on the Liechti-Strenner's examples having small dilatations ⋮ A family of pseudo-Anosov braids with small dilatation ⋮ Pseudo-Anosov homeomorphisms of punctured nonorientable surfaces with small stretch factor ⋮ Low dilatation pseudo-Anosovs on punctured surfaces and volume ⋮ Small dilatation pseudo-Anosov homeomorphisms and 3-manifolds ⋮ Minimal pseudo-Anosov stretch factors on nonoriented surfaces ⋮ Least dilatation of pure surface braids ⋮ Examples of Pseudo-Anosov Homeomorphisms ⋮ Polynomial invariants for fibered 3-manifolds and Teichmüller geodesics for foliations ⋮ The asymptotic behavior of least pseudo-Anosov dilatations ⋮ Pseudo-Anosov maps with small stretch factors on punctured surfaces ⋮ Book Review: Thurston’s work on surfaces

Cites Work

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• A characterization of pseudo-Anosov foliations
• The real analytic theory of Teichmüller space
• Difféomorphismes pseudo-Anosov et automorphismes symplectiques de l'homologie
• Bounds on Least Dilatations
• A Construction of Pseudo-Anosov Homeomorphisms
• Examples of Pseudo-Anosov Homeomorphisms
• Combinatorics of Train Tracks. (AM-125)

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