Small dilatation pseudo-Anosov homeomorphisms and 3-manifolds

DOI10.1016/j.aim.2011.06.020zbMath1234.37022arXiv0905.0219OpenAlexW2071896889MaRDI QIDQ639559

Dan Margalit, Benson Farb, Christopher J. Leininger

Publication date: 22 September 2011

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

Full work available at URL: https://arxiv.org/abs/0905.0219

zbMATH Keywords

dilatationhyperbolic volume3-manifoldDehn fillingpseudo-Anosov homeomorphismmapping torus

Mathematics Subject Classification ID

Related Items (20)

Local maxima of the systole function ⋮ Pseudo-Anosovs on closed surfaces having small entropy and the Whitehead sister link exterior ⋮ Small dilatation mapping classes coming from the simplest hyperbolic braid ⋮ Minimal dilatations of pseudo-Anosovs generated by the magic 3-manifold and their asymptotic behavior ⋮ Closed surface bundles of least volume ⋮ Dynamics on free-by-cyclic groups ⋮ Fibered faces, veering triangulations, and the arc complex ⋮ A construction of pseudo-Anosov braids with small normalized entropies ⋮ Low dilatation pseudo-Anosovs on punctured surfaces and volume ⋮ The entropy efficiency of point-push mapping classes on the punctured disk ⋮ Weil-Petersson translation length and manifolds with many fibered fillings ⋮ Mapping tori of small dilatation expanding train-track maps ⋮ Limits of sequences of pseudo-Anosov maps and of hyperbolic 3-manifolds ⋮ Taut branched surfaces from veering triangulations ⋮ Normalized entropy versus volume for pseudo-Anosovs ⋮ Entropy and the clique polynomial ⋮ Quotient families of mapping classes ⋮ Pseudo–Anosov mapping classes from pure mapping classes ⋮ An algorithm to compute the Teichmüller polynomial from matrices ⋮ Book Review: Thurston’s work on surfaces

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