Alternate Heegaard genus bounds distance
| dc.creator | Scharlemann, Martin | |
| dc.creator | Tomova, Maggy | |
| dc.date | 2005-01-10 | |
| dc.date | 2009-03-15 | |
| dc.date.accessioned | 2026-07-07T12:52:10Z | |
| dc.date.available | 2026-07-07T12:52:10Z | |
| dc.description | Suppose M is a compact orientable irreducible 3-manifold with Heegaard splitting surfaces P and Q. Then either Q is isotopic to a possibly stabilized copy of P or the Hempel distance of the splitting P is no greater than twice the genus of Q. More generally, if P and Q are bicompressible but weakly incompressible connected closed separating surfaces in M then either a) P and Q can be well-separated or b) P and Q are isotopic or c) the Hempel distance of P is no greater than twice the genus of Q. | |
| dc.description | This is the version published by Geometry & Topology on 4 May 2006 (V4: typesetting correction) | |
| dc.identifier | https://arxiv.org/abs/math/0501140 | |
| dc.identifier | http://arxiv.org/abs/math/0501140 | |
| dc.identifier | Geom. Topol. 10 (2006) 593-617 | |
| dc.identifier | doi:10.2140/gt.2006.10.593 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/223215 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57N10, 57M50 | |
| dc.title | Alternate Heegaard genus bounds distance | |
| dc.type | text |