Surgery on links containing a cable sublink
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- by Bradd Evans Clark PDF
- Proc. Amer. Math. Soc. 72 (1978), 587-592 Request permission
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.References
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Additional Information
- © Copyright 1978 American Mathematical Society
- 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