An obstruction to a knot being deform-spun via Alexander polynomials
Geometric Topology
2009-08-11 v2
Abstract
We show that if a co-dimension two knot is deform-spun from a lower-dimensional co-dimension 2 knot, there are constraints on the Alexander polynomials. In particular this shows, for all n, that not all co-dimension 2 knots in S^n are deform-spun from knots in S^{n-1}.
Cite
@article{arxiv.0704.3940,
title = {An obstruction to a knot being deform-spun via Alexander polynomials},
author = {Ryan Budney and Alexandra Mozgova},
journal= {arXiv preprint arXiv:0704.3940},
year = {2009}
}
Comments
6 Pages, 1 Figure. to appear in Proceedings of the AMS