An asymptotic behavior of the dilatation for a family of pseudo-Anosov braids

Details An asymptotic behavior of the dilatation for a family of pseudo-Anosov braids An asymptotic behavior of the dilatation for a family of pseudo-Anosov braids

2007-11-19

arxiv.org/abs/0711.3009v1

Mathematics

Geometric Topology

20 pages, 13 figures

Scientific paper

The dilatation of a pseudo-Anosov braid is a conjugacy invariant. In this paper, we study the dilatation of a special family of pseudo-Anosov braids. We prove an inductive formula to compute their dilatation, a monotonicity and an asymptotic behavior of the dilatation for this family of braids. We also give an example of a family of pseudo-Anosov braids with arbitrarily small dilatation such that the mapping torus obtained from such braid has 2 cusps and has an arbitrarily large volume.

Affiliated with

Also associated with

No associations

Rating

An asymptotic behavior of the dilatation for a family of pseudo-Anosov braids 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 An asymptotic behavior of the dilatation for a family of pseudo-Anosov braids, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An asymptotic behavior of the dilatation for a family of pseudo-Anosov braids will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-391329