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The minimum dilatation of pseudo-Anosov 5-braids

Ji-Young Ham·Won Taek Song
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Abstract

The minimum dilatation of pseudo-Anosov 5-braids is shown to be the largest zero $λ_5 \approx 1.72208$ of $x^4 - x^3 - x^2 - x + 1$ which is attained by $σ_1σ_2σ_3σ_4σ_1σ_2$.

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Ji-Young Ham, Won Taek Song. 2006-01-24. The minimum dilatation of pseudo-Anosov 5-braids. https://arxiv.org/abs/math/0506295

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