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

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

2007-04-30

arxiv.org/abs/0704.3940v2

Proc. Amer. Math. Soc. 137 (2009), 3547-3552.

Mathematics

Geometric Topology

6 Pages, 1 Figure. to appear in Proceedings of the AMS

Scientific paper

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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