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Article Dans Une Revue Geometriae Dedicata Année : 2011

On the minimum dilatation of braids on punctured discs

Résumé

We find the minimum dilatation of pseudo-Anosov braids on n-punctured discs for 3 <= n <= 8. This covers the results of Song-Ko-Los (n=4) and Ham-Song (n=5). The proof is elementary, and uses the Lefschetz formula.

Dates et versions

hal-01230601 , version 1 (18-11-2015)

Identifiants

Citer

Erwan Lanneau, Jean-Luc Thiffeault. On the minimum dilatation of braids on punctured discs. Geometriae Dedicata, 2011, 152 (01), pp.165-182. ⟨10.1007/s10711-010-9551-2⟩. ⟨hal-01230601⟩
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