On the minimum dilatation of braids on punctured discs
2011
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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