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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Seifert fibered surgery manifolds of composite knots


Authors: John Kalliongis and Chichen M. Tsau
Journal: Proc. Amer. Math. Soc. 108 (1990), 1047-1053
MSC: Primary 57M25
MathSciNet review: 1002161
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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.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1990-1002161-6
PII: S 0002-9939(1990)1002161-6
Keywords: Composite knot, torus knot, surgery manifold, Seifert fibered manifold, incompressible surface
Article copyright: © Copyright 1990 American Mathematical Society



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