On Aitchison’s construction by isotopy

Silver, Daniel

doi:10.1090/S0002-9947-1988-0924773-3

On Aitchison’s construction by isotopy
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Trans. Amer. Math. Soc. 305 (1988), 641-652 Request permission

Abstract:

We describe a method introduced by I. Aitchison for constructing doubly slice fibered $n$-knots. We prove that all high-dimensional simple doubly slice fibered $n$-knots can be obtained by this construction. (Even-dimensional $n$-knots are required to be $Z$-torsion-free.) We also show that any possible rational Seifert form can be realized by a doubly slice fibered classical knot.

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