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

@inproceedings{Budney2007AnOT, title={An obstruction to a knot being deform-spun via Alexander polynomials}, author={Ryan Budney and Alexandra Mozgova}, year={2007} }

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 .

## One Citation

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Let Emb(S^j,S^n) denote the space of C^infty-smooth embeddings of the j-sphere in the n-sphere. This paper considers homotopy-theoretic properties of the family of spaces Emb(S^j,S^n) for n >= j > 0.…

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