On reduction curves and Garside properties of braids

Details On reduction curves and Garside properties of braids On reduction curves and Garside properties of braids

2010-06-11

arxiv.org/abs/1006.2258v1

Mathematics

Geometric Topology

20 pages, 3 figures

Scientific paper

In this paper we study the reduction curves of a braid, and how they can be used to decompose the braid into simpler ones in a precise way, which does not correspond exactly to the decomposition given by Thurston theory. Then we study how a cyclic sliding (which is a particular kind of conjugation) affects the normal form of a braid with respect to the normal forms of its components. Finally, using the above methods, we provide the example of a family of braids whose sets of sliding circuits (hence ultra summit sets) have exponential size with respect to the number of strands and also with respect to the canonical length.

Affiliated with

Also associated with

No associations

Rating

On reduction curves and Garside properties of 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 On reduction curves and Garside properties of braids, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On reduction curves and Garside properties of braids will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-77354