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The minimum dilatation of pseudo-Anosov 5-braids

Ji-Young Ham, Won Taek Song

math.GTarXiv:math/0506295

Abstract

The minimum dilatation of pseudo-Anosov 5-braids is shown to be the largest zero λ5 ≈ 1.72208 of x4 - x3 - x2 - x + 1 which is attained by σ1σ2σ3σ4σ1σ2.

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