The Minimal Dilatation of a Genus-Two Surface
Cho, Jin-Hwan ; Ham, Ji-Young
Experiment. Math., Tome 17 (2008) no. 1, p. 257-267 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
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.
Publié le : 2008-05-15
Classification:  dilatation,  pseudo-Anosov homeomorphism,  genus-two surface,  primitive matrix,  37E30,  37B40,  57M60 
@article{1227121381,
     author = {Cho, Jin-Hwan and Ham, Ji-Young},
     title = {The Minimal Dilatation of a Genus-Two Surface},
     journal = {Experiment. Math.},
     volume = {17},
     number = {1},
     year = {2008},
     pages = { 257-267},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1227121381}
}

Cho, Jin-Hwan; Ham, Ji-Young. The Minimal Dilatation of a Genus-Two Surface. Experiment. Math., Tome 17 (2008) no. 1, pp.  257-267. http://gdmltest.u-ga.fr/item/1227121381/