Toroidal Dehn fillings on large hyperbolic 3-manifolds

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dc.creatorTeragaito, Masakazu
dc.date2005-08-15
dc.date.accessioned2026-07-07T05:22:22Z
dc.date.available2026-07-07T05:22:22Z
dc.descriptionWe show that if a hyperbolic 3-manifold $M$ with a single torus boundary admits two Dehn fillings at distance 5, each of which contains an essential torus, then $M$ is a rational homology solid torus, which is not large in the sense of Wu. Moreover, one of the surgered manifold contains an essential torus which meets the core of the attached solid torus minimally in at most two points. This completes the determination of best possible upper bounds for the distance between two exceptional Dehn fillings yielding essential small surfaces in all ten cases for large hyperbolic 3-manifolds.
dc.description28 pages, 29 figures
dc.identifierhttps://arxiv.org/abs/math/0508250
dc.identifierhttp://arxiv.org/abs/math/0508250
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76035
dc.subjectGeometric Topology
dc.subject57M50
dc.titleToroidal Dehn fillings on large hyperbolic 3-manifolds
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