Remarks on the Liechti-Strenner's examples having small dilatations

DOI10.4134/CKMS.c190365zbMath1465.37055arXiv2006.02807OpenAlexW3132307117MaRDI QIDQ5859550

Ji-Young Ham, Joongul Lee

Publication date: 16 April 2021

Full work available at URL: https://arxiv.org/abs/2006.02807

zbMATH Keywords

nonorientable surfaceminimal dilatationLiechti-Strennerpseudo-Anosov stretch factors

Mathematics Subject Classification ID

Group actions on manifolds and cell complexes in low dimensions (57M60) Topological entropy (37B40) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)

Cites Work

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• Minimal pseudo-Anosov stretch factors on nonoriented surfaces
• Pseudo-Anosovs on closed surfaces having small entropy and the Whitehead sister link exterior
• On groups generated by two positive multi-twists: Teichmüller curves and Lehmer's number
• Bounds on Least Dilatations
• The Minimal Dilatation of a Genus-Two Surface
• On the geometry and dynamics of diffeomorphisms of surfaces
• An Upper Bound for the Least Dilatation
• On the minimum of the dilatation of pseudo-Anosov diffeomorphisms of a pretzel

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