Papers › On the minimum dilatation of braids on punctured discs

On the minimum dilatation of braids on punctured discs

29 Apr 2010arXiv:1004.5344links table onlyarchive 2025-07-28

Erwan Lanneau, Jean-Luc Thiffeault

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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.

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