Word hyperbolic Dehn surgery
| dc.creator | Lackenby, Marc | |
| dc.date | 1998-08-28 | |
| dc.date | 1999-09-07 | |
| dc.date.accessioned | 2026-07-07T05:25:49Z | |
| dc.date.available | 2026-07-07T05:25:49Z | |
| dc.description | The aim of this paper is to demonstrate that very many Dehn fillings on a cusped hyperbolic 3-manifold yield a 3-manifold which is irreducible, atoroidal and not Seifert fibred, and which has infinite, word hyperbolic fundamental group. We establish an extension of the Thurston-Gromov $2π$ theorem by showing that if each filling slope has length more than six, then the resulting 3-manifold has all the above properties. We also give a combinatorial version of the $2π$ theorem which relates to angled ideal triangulations. We apply these techniques by studying surgery along alternating links. | |
| dc.description | 49 pages, 26 figures. To appear in Inventiones Mathematicae. Revised version, incorporating referee's comments. Most changes are minor; the proof of Theorem 4.7 has been corrected | |
| dc.identifier | https://arxiv.org/abs/math/9808120 | |
| dc.identifier | http://arxiv.org/abs/math/9808120 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77324 | |
| dc.subject | Geometric Topology | |
| dc.subject | Group Theory | |
| dc.subject | 57N10; 57M25 | |
| dc.title | Word hyperbolic Dehn surgery | |
| dc.type | text |