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arXiv · 1004.5344

On the minimum dilatation of braids on punctured discs

Erwan Lanneau·Jean-Luc Thiffeault
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Abstract

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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Erwan Lanneau, Jean-Luc Thiffeault. 2010-04-29. On the minimum dilatation of braids on punctured discs. https://doi.org/10.1007/s10711-010-9551-2

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