Ryan Budney, Alexandra Mozgova
Published 2007-04-30, updated 2009-02-16Version 2
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}.
Comments: 6 Pages, 1 Figure. to appear in Proceedings of the AMS
Journal: Proc. Amer. Math. Soc. 137 (2009), 3547-3552.
A restriction on the Alexander polynomials of $L$-space knots
Alexander polynomials of equivariant slice and ribbon knots in S^3
On the distribution of Alexander polynomials in certain families of closed braids
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