Minimal Seifert manifolds for higher ribbon knots
Geometric Topology
2010-12-14 v1 Group Theory
Abstract
We show that a group presented by a labelled oriented tree presentation in which the tree has diameter at most three is an HNN extension of a finitely presented group. From results of Silver, it then follows that the corresponding higher dimensional ribbon knots admit minimal Seifert manifolds.
Keywords
Cite
@article{arxiv.math/9810185,
title = {Minimal Seifert manifolds for higher ribbon knots},
author = {James Howie},
journal= {arXiv preprint arXiv:math/9810185},
year = {2010}
}
Comments
33 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTMon1/paper12.abs.html