Basic results on braid groups

Details Basic results on braid groups Basic results on braid groups

2010-10-02

arxiv.org/abs/1010.0321v1

Mathematics

Geometric Topology

To appear in Annales Math\'ematiques Blaise Pascal. 45 pages, 11 figures

Scientific paper

These are Lecture Notes of a course given by the author at the French-Spanish School "Tresses in Pau", held in Pau (France) in October 2009. It is basically an introduction to distinct approaches and techniques that can be used to show results in braid groups. Using these techniques we provide several proofs of well known results in braid groups, namely the correctness of Artin's presentation, that the braid group is torsion free, or that its center is generated by the full twist. We also recall some solutions of the word and conjugacy problems, and that roots of a braid are always conjugate. We also describe the centralizer of a given braid. Most proofs are classical ones, using modern terminology. I have chosen those which I find simpler or more beautiful.

Affiliated with

Also associated with

No associations

Rating

Basic results on braid groups 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 Basic results on braid groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Basic results on braid groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-519607