Small dilatation mapping classes coming from the simplest hyperbolic braid

@article{Hironaka2010SmallDM,
  title={Small dilatation mapping classes coming from the simplest hyperbolic braid},
  author={E. Hironaka},
  journal={Algebraic \& Geometric Topology},
  year={2010},
  volume={10},
  pages={2041-2060}
}
  • E. Hironaka
  • Published 2010
  • Mathematics
  • Algebraic & Geometric Topology
In this paper we study the small dilatation pseudo-Anosov mapping classes arising from fibrations over the circle of a single 3‐manifold, the mapping torus for the “simplest hyperbolic braid”. The dilatations that occur include the minimum dilatations for orientable pseudo-Anosov mapping classes for genus gD2;3;4;5 and 8. We obtain the “Lehmer example” in genus gD 5, and Lanneau and Thiffeault’s conjectural minima in the orientable case for all genus g satisfying gD 2 or 4.mod 6/. Our examples… Expand

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We denote by δg (resp. δ + ), the minimal dilatation for pseudo-Anosovs (resp. pseudo-Anosovs with orientable invariant foliations) on a closed surface of genus g. This paper concerns theExpand
Small dilatation pseudo-Anosovs and 3-manifolds
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