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arXiv · 0704.3940

An obstruction to a knot being deform-spun via Alexander polynomials

Ryan Budney·Alexandra Mozgova
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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}.

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Ryan Budney, Alexandra Mozgova. 2009-02-16. An obstruction to a knot being deform-spun via Alexander polynomials. https://arxiv.org/abs/0704.3940

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