Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4658906 | Topology and its Applications | 2013 | 5 Pages |
Abstract
We introduce the concept of s-distance of an unstabilized Heegaard splitting. We prove if a 3-manifold admits an unstabilized genus g Heegaard splitting with s-distance m , then surgery on some (m−1)(m−1) components link may produce a 3-manifold which admits a stabilized genus g Heegaard splitting. We also give an alternative proof of the fundamental theorem of surgery theory, which states that every closed orientable 3-manifold is obtained by surgery on some link in 3-sphere.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Qiang E, Fengchun Lei, Fengling Li,