On pseudo-Anosov mapping classes with minimum dilatation and Lanneau-Thiffeault numbers

Details On pseudo-Anosov mapping classes with minimum dilatation and Lanneau-Thiffeault numbers On pseudo-Anosov mapping classes with minimum dilatation and Lanneau-Thiffeault numbers

2011-01-12

arxiv.org/abs/1101.2383v2

Mathematics

Geometric Topology

Lemma 3 of version 1 is false. All other changes are minor, and were directed toward making the paper readable without the fal

Scientific paper

It has been known since 1981 that if one fixes an orientable surface $S$ of
genus $g$, then there is a real number $\lambda_{min,g} > 1$ that is the
dilatation of a pA diffeomorphism of $S$, and every other pA diffeomorphism of
$S$ has dilatation $\geq \lambda_{min,g}$. We will show how a little-known
theorem about digraphs gives some insight into $\lambda_{min,g}$.

Affiliated with

Also associated with

No associations

Rating

On pseudo-Anosov mapping classes with minimum dilatation and Lanneau-Thiffeault numbers does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On pseudo-Anosov mapping classes with minimum dilatation and Lanneau-Thiffeault numbers, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On pseudo-Anosov mapping classes with minimum dilatation and Lanneau-Thiffeault numbers will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-265362