Dehn surgery and negatively curved 3-manifolds
| dc.creator | Cooper, Daryl | |
| dc.creator | Lackenby, Marc | |
| dc.date | 1998-11-12 | |
| dc.date.accessioned | 2026-07-07T05:26:51Z | |
| dc.date.available | 2026-07-07T05:26:51Z | |
| dc.description | We show that, for any given 3-manifold M, there are at most finitely many hyperbolic knots K in the 3-sphere and fractions p/q (with q > 22), such that M is obtained by p/q surgery along K. This is a corollary of the following result. If M is obtained by Dehn filling the cusps of a hyperbolic 3-manifold X, where each filling slope has length more than 2 π+ ε, then, for any given M and ε> 0, there are only finitely many possibilities for X and for the filling slopes. In this paper, we also investigate the length of boundary slopes, and sequences of negatively curved metrics on a given 3-manifold. | |
| dc.description | 35 pages, 2 figures. To be published in JDG | |
| dc.identifier | https://arxiv.org/abs/math/9811082 | |
| dc.identifier | http://arxiv.org/abs/math/9811082 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77706 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57N10, 57M25 | |
| dc.title | Dehn surgery and negatively curved 3-manifolds | |
| dc.type | text |