Knots yielding homeomorphic lens spaces by Dehn surgery

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dc.creatorSaito, Toshio
dc.creatorTeragaito, Masakazu
dc.date2008-08-21
dc.date2008-09-02
dc.date.accessioned2026-07-07T09:59:36Z
dc.date.available2026-07-07T09:59:36Z
dc.descriptionWe 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.
dc.description21 pages, 11 figures. Some errors in References are revised in version 2
dc.identifierhttps://arxiv.org/abs/0808.2852
dc.identifierhttp://arxiv.org/abs/0808.2852
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/168079
dc.subjectGeometric Topology
dc.subject57M25; 11B39, 11E16
dc.titleKnots yielding homeomorphic lens spaces by Dehn surgery
dc.typetext

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