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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

On Aitchison's construction by isotopy


Author: Daniel Silver
Journal: Trans. Amer. Math. Soc. 305 (1988), 641-652
MSC: Primary 57Q45
MathSciNet review: 924773
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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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DOI: http://dx.doi.org/10.1090/S0002-9947-1988-0924773-3
PII: S 0002-9947(1988)0924773-3
Article copyright: © Copyright 1988 American Mathematical Society