Nielsen-Thurston orderings and the space of braid orderings

Details Nielsen-Thurston orderings and the space of braid orderings Nielsen-Thurston orderings and the space of braid orderings

2009-06-15

arxiv.org/abs/0906.2605v1

Mathematics

Group Theory

Scientific paper

We study the topological space of left-orderings of the braid group, and its subspace of Nielsen-Thurston orderings. Our main result is that no Nielsen-Thurston ordering is isolated in the space of braid orderings. In the course of the proof, we classify the convex subgroups and calculate the Conradian soul for any Nielsen-Thurston ordering of B_n. We also prove that for a large class of Nielsen-Thurston orderings, including all those of infinite type, a stronger result holds: they are approximated by their own conjugates. On the other hand, we suggest an example of a Nielsen-Thurston ordering which may not be approximated by its conjugates.

Affiliated with

Also associated with

No associations

Rating

Nielsen-Thurston orderings and the space of braid orderings 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 Nielsen-Thurston orderings and the space of braid orderings, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nielsen-Thurston orderings and the space of braid orderings will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-315571