Seifert fibered surgery manifolds of composite knots
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- by John Kalliongis and Chichen M. Tsau
- Proc. Amer. Math. Soc. 108 (1990), 1047-1053
- DOI: https://doi.org/10.1090/S0002-9939-1990-1002161-6
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Abstract:
A classification is given for the composite knots and the Dehn surgery on these knots which yield Seifert fibered surgery manifolds. We prove that if a knot $K$ is the composition of two torus knots, then some (unique) integral surgery on $K$ yields a Seifert fibered manifold, and conversely if the surgery manifold of a composite knot $K$ is Seifert fibered, then $K$ is the composition of two torus knots and the surgery must be integral surgery, which is uniquely determined.References
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Bibliographic Information
- © Copyright 1990 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 108 (1990), 1047-1053
- MSC: Primary 57M25
- DOI: https://doi.org/10.1090/S0002-9939-1990-1002161-6
- MathSciNet review: 1002161