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Experimental Mathematics Volume 16, 2007 - Issue 2
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Original Article

The Minimum Dilatation of Pseudo-Anosov 5-Braids

Ji-Young Ham Department of Mathematics, University of California Santa Barbara, CA 93106
&
Won Taek Song School of Engineering, Information and Communications University, 119 Munjiro, Yuseong-gu, Daejeon 305-732, Korea
Pages 167-179 | Published online: 30 Jan 2011
 
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Abstract

The minimum dilatation of pseudo-Anosov 5-braids is shown to be the largest zero λ5 ≈ 1.72208 of x 4 -x 3 -x 2 -x+1, which is attained by σ1σ2σ3σ4σ1σ2.

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