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Cyclic surgery on satellite knots

Published online by Cambridge University Press:  18 May 2009

Xingru Zhang
Xingru Zhang
Affiliation:
Mathematics Department, University of British Columbia, CanadaV6T 1Y4
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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).

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 33 , Issue 2 , May 1991 , pp. 125 - 128
Copyright
Copyright © Glasgow Mathematical Journal Trust 1991

References

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