Covering spaces and the Kakimizu complex
Geometric Topology
2014-01-16 v4
Abstract
In 1992, Osamu Kakimizu defined a complex that has become known as the Kakimizu complex of a knot. Vertices correspond to isotopy classes of minimal genus Seifert surfaces of the knot. Higher dimensional simplices correspond to collections of such classes of Seifert surfaces that admit disjoint representatives. We show that this complex is simply connected.
Keywords
Cite
@article{arxiv.0707.3926,
title = {Covering spaces and the Kakimizu complex},
author = {Jennifer Schultens},
journal= {arXiv preprint arXiv:0707.3926},
year = {2014}
}
Comments
16 pages, 10 figures