Heegaard surfaces and measured laminations, II: non-Haken 3-manifolds
| dc.creator | Li, Tao | |
| dc.date | 2004-08-15 | |
| dc.date | 2007-01-14 | |
| dc.date.accessioned | 2026-07-07T07:40:12Z | |
| dc.date.available | 2026-07-07T07:40:12Z | |
| dc.description | A famous example of Casson and Gordon shows that a Haken 3-manifold can have an infinite family of irreducible Heegaard splittings with different genera. In this paper, we prove that a closed non-Haken 3-manifold has only finitely many irreducible Heegaard splittings, up to isotopy. This is much stronger than the Waldhausen conjecture. Another immediate corollary is that for any irreducible non-Haken 3-manifold M, there is a number N, such that any two Heegaard splittings of M are equivalent after at most N stabilizations. | |
| dc.identifier | https://arxiv.org/abs/math/0408199 | |
| dc.identifier | http://arxiv.org/abs/math/0408199 | |
| dc.identifier | J. Amer. Math. Soc., 19 (2006) 625-657 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/121709 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M50; 57N10; 57M25 | |
| dc.title | Heegaard surfaces and measured laminations, II: non-Haken 3-manifolds | |
| dc.type | text |