Orderings of mapping class groups after Thurston

Details Orderings of mapping class groups after Thurston Orderings of mapping class groups after Thurston

1999-07-15

arxiv.org/abs/math/9907104v1

Mathematics

Geometric Topology

32 pages, 10 figures

Scientific paper

We are concerned with mapping class groups of surfaces with nonempty boundary. We present a very natural method, due to Thurston, of finding many different left orderings of such groups. The construction involves equipping the surface with a hyperbolic structure, embedding the universal cover in the hyperbolic plane, and extending the action of the mapping class group on it to its limit points on the circle at infinity. We classify all orderings of braid groups which arise in this way. Moreover, restricting to a certain class of ``nonpathological'' orderings, we prove that there are only finitely many conjugacy classes of such orderings.

Affiliated with

Also associated with

No associations

Rating

Orderings of mapping class groups after Thurston 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 Orderings of mapping class groups after Thurston, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Orderings of mapping class groups after Thurston will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-162874