Knot modules and ribbon 2-knots
Geometric Topology
2018-07-20 v2
Abstract
We show that every -torsion free knot module is realized by a ribbon 2-knot with group of geometric dimension at most 2, and give some partial results on the characterization of the knot modules of fibred ribbon 2-knots.
Cite
@article{arxiv.1806.05313,
title = {Knot modules and ribbon 2-knots},
author = {Jonathan A. Hillman},
journal= {arXiv preprint arXiv:1806.05313},
year = {2018}
}
Comments
Since submitting v1 we have learnt that our Theorem 1 is part of a more substantial result of Kawauchi (Theorem 3.2 in math.GT 0904.1853)