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Cyclic surgery on satellite knots
Published online by Cambridge University Press: 18 May 2009
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In [9] L. Moser classified all manifolds obtained by Dehn surgery on torus knots. In particular she proved the following (see also [8, Chapter IV]).
Theorem 1 [9]. Nontrivial surgery with slope m/n on a nontrivial torus knot T(p, q) gives a manifold with cyclic fundamental group iff m = npq ± 1 and the manifold obtained is the lens space L(m, nq2).
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- Copyright © Glasgow Mathematical Journal Trust 1991
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