One-sided and two-sided Heegaard splittings

Details One-sided and two-sided Heegaard splittings One-sided and two-sided Heegaard splittings

2011-12-02

arxiv.org/abs/1112.0471v1

Mathematics

Geometric Topology

21 pages, 5 figures

Scientific paper

We define a notion of Hempel distance for one-sided Heegaard splittings and show that the existence of alternate surfaces restricts distance for one-sided splittings in a manner similar to Hartshorn's and Scharlemann-Tomova's results for two-sided splittings. We also show that every geometrically compressible one-sided Heegaard surface in a non-Haken 3-manifold is stabilized, and show that the mapping class group of the two-sided Heegaard splitting induced by a high distance one-sided splitting is isomorphic to the fundamental group of the one-sided surface.

Affiliated with

Also associated with

No associations

Rating

One-sided and two-sided Heegaard splittings 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 One-sided and two-sided Heegaard splittings, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and One-sided and two-sided Heegaard splittings will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-140379