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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

Surgery on links containing a cable sublink


Author: Bradd Evans Clark
Journal: Proc. Amer. Math. Soc. 72 (1978), 587-592
MSC: Primary 57N10
DOI: https://doi.org/10.1090/S0002-9939-1978-0509260-8
MathSciNet review: 509260
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Abstract: In this paper it will be shown that there is an upper bound on the genus of any manifold obtained by Dehn surgery on a given torus link. It is also demonstrated that if L is a link in $ {S^3}$ with a cable sublink about the knot k, and surgery on at least two components of the sublink cannot be replaced by surgery on k, then the manifold resulting from surgery on L cannot be simply connected.


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DOI: https://doi.org/10.1090/S0002-9939-1978-0509260-8
Keywords: Link, surgery, 3-manifold
Article copyright: © Copyright 1978 American Mathematical Society

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