Essential meridional surfaces for tunnel number one knots
Geometric Topology
2009-09-25 v2
Abstract
We show that for each pair of positive integers g and n, there are infinitely many tunnel number one knots, whose exteriors contain an essential meridional surface of genus g, and with 2n boundary components. We also show that for each positive integer n, there are tunnel number one knots whose exteriors contain n disjoint, non-parallel, closed incompressible surfaces, each of genus n.
Keywords
Cite
@article{arxiv.math/9908053,
title = {Essential meridional surfaces for tunnel number one knots},
author = {Mario Eudave-Munoz},
journal= {arXiv preprint arXiv:math/9908053},
year = {2009}
}
Comments
12 pages, 4 figures. Revised version