On roots of Dehn twists

Details On roots of Dehn twists On roots of Dehn twists

2009-11-26

arxiv.org/abs/0911.5079v2

Mathematics

Geometric Topology

12 pages, 6 figures

Scientific paper

Margalit and Schleimer constructed nontrivial roots of the Dehn twist about a nonseparating curve. We prove that the conjugacy classes of roots of the Dehn twist about a nonseparating curve correspond to the conjugacy classes of periodic maps with certain conditions. Futhermore, we give data set which determine the conjugacy class of a root. As a consequence, we can find the minimum degree and the maximum degree, and show that the degree must be odd. Also, we give Dehn twist expression of the root of degree 3.

Affiliated with

Also associated with

No associations

Rating

On roots of Dehn twists 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 roots of Dehn twists, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On roots of Dehn twists will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-116702