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Stable Plumbing for High Odd-Dimensional Fibred Knots

Published online by Cambridge University Press:  20 November 2018

Daniel Lines
Daniel Lines*
Affiliation:
Institut de Mathématiques Université de Neuchâtel 20 CH. Chantemerle 2000 Neuchâtel Switzerland
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Abstract

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Plumbing a Hopf band on the fibre-surface of a simple fibred knot is a geometric operation that produces another such knot. We show by algebraic methods that every high odd-dimensional simple fibred knot is obtained from the unknot by using this operation and its inverse.

Keywords

57Q45
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 30 , Issue 4 , 01 December 1987 , pp. 429 - 435
Copyright
Copyright © Canadian Mathematical Society 1987

References

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