An obstruction to a knot being deform-spun via Alexander polynomials
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}.
- Publication:
-
arXiv e-prints
- Pub Date:
- April 2007
- DOI:
- 10.48550/arXiv.0704.3940
- arXiv:
- arXiv:0704.3940
- Bibcode:
- 2007arXiv0704.3940B
- Keywords:
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- Mathematics - Geometric Topology;
- 57R40
- E-Print:
- 6 Pages, 1 Figure. to appear in Proceedings of the AMS