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Article Dans Une Revue Annales de l'Institut Fourier Année : 2011

On the minimum dilatation of pseudo-Anosov homeromorphisms on surfaces of small genus

Résumé

We find the minimum dilatation of pseudo-Anosov homeomorphisms that stabilize an orientable foliation on surfaces of genus three, four, or five, and provide a lower bound for genus six to eight. Our technique also simplifies Cho and Ham's proof of the least dilatation of pseudo-Anosov homeomorphisms on a genus two surface. For genus g=2 to 5, the mimimum dilatation is the smallest Salem number for polynomials of degree 2g.

Dates et versions

hal-01230605 , version 1 (18-11-2015)

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Citer

Erwan Lanneau, Jean-Luc Thiffeault. On the minimum dilatation of pseudo-Anosov homeromorphisms on surfaces of small genus. Annales de l'Institut Fourier, 2011, 61 (01), pp.105-144. ⟨10.5802/aif.2599⟩. ⟨hal-01230605⟩
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