Conway products and links with multiple bridge surfaces
Geometric Topology
2007-05-23 v1
Abstract
Suppose a link K in a 3-manifold M is in bridge position with respect to two different bridge surfaces P and Q, both of which are c-weakly incompressible in the complement of K. Then either P and Q can be properly isotoped to intersect in a nonempty collection of curves that are essential (including non-meridional) on both surfaces, or K is a Conway product with respect to an incompressible Conway sphere that naturally decomposes both P and Q into bridge surfaces for the respective factor link(s).
Keywords
Cite
@article{arxiv.math/0608435,
title = {Conway products and links with multiple bridge surfaces},
author = {Martin Scharlemann and Maggy Tomova},
journal= {arXiv preprint arXiv:math/0608435},
year = {2007}
}
Comments
29 pages, 19 figures