Seifert fibred knot manifolds
Geometric Topology
2021-02-24 v3
Abstract
We consider the question of when is the closed manifold obtained by elementary surgery on an -knot Seifert fibred over a 2-orbifold. After some observations on the classical case, we concentrate on the cases n=2 and 3. We have found a new family of 2-knots with torsion-free, solvable group, overlooked in earlier work. We know of no higher dimensional examples.
Keywords
Cite
@article{arxiv.1301.1725,
title = {Seifert fibred knot manifolds},
author = {J. A. Hillman and J. Howie},
journal= {arXiv preprint arXiv:1301.1725},
year = {2021}
}
Comments
New co-author, stronger restrictions on possible Seifert bases. Final section on 3-knots reduced to a paragraph, as a lemma was misused in the original version. Version 3; minor improvements to first paragraph and notation