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Strongly plus-amphicheiral knots are algebraically slice

Published online by Cambridge University Press:  24 October 2008

D. D. Long
Affiliation:
St John's College, Cambridge†

Extract

A classical knot in S3 is said to be slice if it is the boundary of a smooth (or PL locally unknotted) disc in B4. The first obstructions to sliceness were introduced in [3] (the Alexander polynomial is of the form f(t). f(t−1)) and [7] (the signature is zero). Levine defined the notion of algebraically slice knot in [5]. This property implies the first two obstructions vanish.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1984

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References

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