The minimum dilatation of pseudo-Anosov 5-braids

Details The minimum dilatation of pseudo-Anosov 5-braids The minimum dilatation of pseudo-Anosov 5-braids

2005-06-15

arxiv.org/abs/math/0506295v3

Mathematics

Geometric Topology

21 pages, 9 figures; a Mathematica script included in the source file as fbrmin.m and fbrmin.ps; one more section is added for

Scientific paper

The minimum dilatation of pseudo-Anosov 5-braids is shown to be the largest
zero $\lambda_5 \approx 1.72208$ of $x^4 - x^3 - x^2 - x + 1$ which is attained
by $\sigma_1\sigma_2\sigma_3\sigma_4\sigma_1\sigma_2$.

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