| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4659769 | Topology and its Applications | 2012 | 9 Pages |
Abstract
Suppose a closed orientable 3-manifold M has a genus g Heegaard surface P with distance d(P)=2g. Let Q be another genus g Heegaard surface which is strongly irreducible. Then we show that there is a height function f:M→I induced from P such that by isotopy, Q is deformed into a position satisfying the following; (1) f|Q has 2g+2 critical points p0,p1,…,p2g+1 with f(p0)
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
