Distance between toroidal surgeries on hyperbolic knots in the 3-sphere
| dc.creator | Teragaito, Masakazu | |
| dc.date | 2003-12-10 | |
| dc.date | 2004-12-02 | |
| dc.date.accessioned | 2026-07-07T05:03:44Z | |
| dc.date.available | 2026-07-07T05:03:44Z | |
| dc.description | For a hyperbolic knot in the 3-sphere, at most finitely many Dehn surgeries yield non-hyperbolic 3-manifolds. As a typical case of such an exceptional surgery, a toroidal surgery is one that yields a closed 3-manifold containing an incompressible torus. The slope corresponding to a toroidal surgery, called a toroidal slope, is known to be integral or half-integral. We show that the distance between two integral toroidal slopes for a hyperbolic knot, except the figure-eight knot, is at most four. Hence any hyperbolic knot admits at most 5 toroidal surgeries. | |
| dc.description | 25 pages, 19 figures: Minor corrections were done for publication | |
| dc.identifier | https://arxiv.org/abs/math/0312201 | |
| dc.identifier | http://arxiv.org/abs/math/0312201 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69540 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M25; 57M50 | |
| dc.title | Distance between toroidal surgeries on hyperbolic knots in the 3-sphere | |
| dc.type | text |