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Topological concordance and F-isotopy

Published online by Cambridge University Press:  24 October 2008

Jonathan A. Hillman
Affiliation:
Department of Mathematics, Australian National University, Canberra, A.C.T. 2601, Australia

Abstract

A 2 component link with Alexander polynomial 1 is TOP concordant to the Hopf link. Our argument is modelled closely on Freedman's analysis of the problem of slicing Alexander polynomial 1 knots, and uses his theory of 4-dimensional surgery over groups with polynomial growth. A similar argument shows that certain F-isotopies may be realized by TOP concordances.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1985

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References

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