Realizations of Seifert matrices by hyperbolic knots
Geometric Topology
2007-05-23 v1
Abstract
Recently Kearton showed that any Seifert matrix of a knot is S--equivalent to the Seifert matrix of a prime knot. We show in this note that such a matrix is in fact S--equivalent to the Seifert matrix of a hyperbolic knot. This result follows from reinterpreting this problem in terms of Blanchfield pairings and by applying results of Kawauchi.
Cite
@article{arxiv.0704.3390,
title = {Realizations of Seifert matrices by hyperbolic knots},
author = {Stefan Friedl},
journal= {arXiv preprint arXiv:0704.3390},
year = {2007}
}
Comments
4 pages, to be published by the Journal of Knot Theory and its Ramifications