Surgery on a curve in a solid torus

Neuzil, J. P.

doi:10.1090/S0002-9947-1975-0367970-1

Surgery on a curve in a solid torus
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by J. P. Neuzil PDF

Trans. Amer. Math. Soc. 204 (1975), 385-406 Request permission

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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Methods for proving that certain classes of knots have property

Some classes of knots with property

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