Knots yielding homeomorphic lens spaces by Dehn surgery

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We show that there exist infinitely many pairs of distinct knots in the 3-sphere such that each pair can yield homeomorphic lens spaces by the same Dehn surgery. Moreover, each knot of the pair can be chosen to be a torus knot, a satellite knot or a hyperbolic knot, except that both cannot be satellite knots simultaneously. This exception is shown to be unavoidable by the classical theory of binary quadratic forms.
21 pages, 11 figures. Some errors in References are revised in version 2

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Geometric Topology, 57M25; 11B39, 11E16

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http://salesiana.dossiersoluciones.com/handle/123456789/168079

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0808.2852
 http://arxiv.org/abs/0808.2852

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arXiv