Compressing thin spheres in the complement of a link
Geometric Topology
2007-05-23 v2
Abstract
Let L be a link in the 3-sphere that is in thin position but not in bridge position and let P be a thin level sphere. We generalize a result of Wu by giving a bound on the number of disjoint irreducible compressing disks that P can have, including identifying thin spheres with unique compressing disks. We also give conditions under which P must be incompressible on a particular side or be weakly incompressible. If P is strongly compressible we describe how a pair of compressing disks must lie relative to the link.
Cite
@article{arxiv.math/0404282,
title = {Compressing thin spheres in the complement of a link},
author = {Maggy Tomova},
journal= {arXiv preprint arXiv:math/0404282},
year = {2007}
}
Comments
New results have been added including a bound on the number of disjoint irreducible compressing disks a thin sphere can have. 15 pages, 9 figures