Annular and boundary reducing Dehn fillings
| dc.creator | Gordon, Cameron McA. | |
| dc.creator | Wu, Ying-Qing | |
| dc.date | 1998-10-20 | |
| dc.date.accessioned | 2026-07-07T05:26:33Z | |
| dc.date.available | 2026-07-07T05:26:33Z | |
| dc.description | A manifold M is simple if it contains no essential disk, sphere, annulus or torus. If M is simple and two Dehn fillings M(r_1), M(r_2) are nonsimple, then there is an upper bound on Δ(r_1,r_2), the geometric intersection number between r_1 and r_2. There are 10 possibilities, depending on the types of M(r_i). In this paper it will be shown that if M(r_1) contains an essential disk and M(r_2) contains an essential annulus, then Δ(r_1,r_2) is at most two. This completes the determination of the best possible upper bounds on Δ(r_1, r_2) for all ten cases. | |
| dc.description | 23 pages, 7 figures | |
| dc.identifier | https://arxiv.org/abs/math/9810126 | |
| dc.identifier | http://arxiv.org/abs/math/9810126 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77589 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57N10 | |
| dc.title | Annular and boundary reducing Dehn fillings | |
| dc.type | text |