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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Surgery on a curve in a solid torus


Author: J. P. Neuzil
Journal: Trans. Amer. Math. Soc. 204 (1975), 385-406
MSC: Primary 55A25; Secondary 57A10
DOI: https://doi.org/10.1090/S0002-9947-1975-0367970-1
MathSciNet review: 0367970
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Abstract: We consider the following surgery question: If a regular neighborhood of a polyhedral knot in a solid torus is removed and then sewn back differently, what manifold results? We consider two classes of knots, torus knots and what we call doubly twisted knots. We obtain some related results on surgery on knots in $ {S^3}$.


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DOI: https://doi.org/10.1090/S0002-9947-1975-0367970-1
Article copyright: © Copyright 1975 American Mathematical Society