Corpus ID: 2108924

Small dilatation pseudo-Anosovs and 3-manifolds

@article{Farb2009SmallDP,
  title={Small dilatation pseudo-Anosovs and 3-manifolds},
  author={B. Farb and C. Leininger and D. Margalit},
  journal={arXiv: Geometric Topology},
  year={2009}
}
The main result of this paper is a universal finiteness theorem for the set of all small dilatation pseudo-Anosov homeomorphisms φ : S → S, ranging over all surfaces S. More precisely, we consider pseudo-Anosovs φ : S → S with |χ(S)|log(λ(φ)) bounded above by some constant, and we prove that, after puncturing the surfaces at the singular points of the stable foliations, the resulting set of mapping tori is finite. Said differently, there is a finite set of fibered hyperbolic 3–manifolds so that… Expand

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