Abstract
We show that the minimal dilatation of pseudo-Anosov homeomorphisms of a closed oriented genus-two surface is equal to the largest root of $x^4-x^3-x^2-x+1$, which is approximately 1.72208.
Citation
Jin-Hwan Cho. Ji-Young Ham. "The Minimal Dilatation of a Genus-Two Surface." Experiment. Math. 17 (3) 257 - 267, 2008.
Information
Published: 2008
First available in Project Euclid: 19 November 2008
zbMATH: 1153.37375
MathSciNet: MR2455699
Subjects:
Primary:
37E30
Secondary:
37B40
,
57M60
Keywords:
dilatation
,
genus-two surface
,
primitive matrix
,
pseudo-Anosov homeomorphism
Rights: Copyright © 2008 A K Peters, Ltd.
