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Knot surgery and primeness

Published online by Cambridge University Press:  24 October 2008

Francisco González Acuña  and
Hamish Short
Francisco González Acuña
Affiliation:
Instituto de Matemáticas, Universidad National Autonoma de México
Hamish Short
Affiliation:
Department of Pure Mathematics, University of Liverpool
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Extract

The aim of this paper is to prove some new results towards answering the question: When does Dehn surgery on a knot give a non-prime manifold? This question has been raised on several occasions (see for instance [5] or [4]; concerning the latter see below). Recall that a 3-manifold is prime if, in any connected sum decomposition

one of M1, M2 is S3. (For standard definitions of low-dimensional topology see [2] or [16].)

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 99 , Issue 1 , January 1986 , pp. 89 - 102
Copyright
Copyright © Cambridge Philosophical Society 1986

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References

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