An obstruction to a knot being deform-spun via Alexander polynomials
classification
🧮 math.GT
keywords
co-dimensiondeform-spunknotalexanderknotspolynomialsconstraintslower-dimensional
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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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