An estimation of Hempel distance by using Reeb graph

Details An estimation of Hempel distance by using Reeb graph An estimation of Hempel distance by using Reeb graph

2010-02-16

arxiv.org/abs/1002.3034v2

Mathematics

Geometric Topology

17 pages, 22 figures

Scientific paper

Let $P, Q$ be Heegaard surfaces of a closed orientable 3-manifold. In this paper, we introduce a method for giving an upper bound of Hempel distance of $P$ by using the Reeb graph derived from a certain horizontal arc in the ambient space $[0,1]\times[0,1]$ of the Rubinstein-Scharlemann graphic derived from $P$ and $Q$. This is a refinement of a part of Johnson's arguments used for determining stable genera required for flipping high distance Heegaard splittings.

Affiliated with

Also associated with

No associations

Rating

An estimation of Hempel distance by using Reeb graph 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 An estimation of Hempel distance by using Reeb graph, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An estimation of Hempel distance by using Reeb graph will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-598080