Heegaard surfaces for certain graphs in compressionbodies

Details Heegaard surfaces for certain graphs in compressionbodies Heegaard surfaces for certain graphs in compressionbodies

2009-10-16

arxiv.org/abs/0910.3019v2

Mathematics

Geometric Topology

53 pages, 26 figures. Improved Main Theorem in v2

Scientific paper

Let M be a compressionbody containing a graph T (with at least one edge) such that \boundary_+ M is parallel to the union of T and \boundary_- M. We extend methods of Hayashi and Shimokawa to classify bridge surfaces for T. The results of this paper are used in later work to show that if a bridge surface for a graph in a 3-manifold is c-weakly reducible then either a degenerate situation occurs or the exterior of the graph contains an essential meridional surface.

Affiliated with

Also associated with

No associations

Rating

Heegaard surfaces for certain graphs in compressionbodies 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 Heegaard surfaces for certain graphs in compressionbodies, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Heegaard surfaces for certain graphs in compressionbodies will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-123211