The Heegaard genus of bundles over S^1
| dc.creator | Brittenham, Mark | |
| dc.creator | Rieck, Yo'av | |
| dc.date | 2006-08-21 | |
| dc.date | 2009-03-30 | |
| dc.date.accessioned | 2026-07-07T12:57:34Z | |
| dc.date.available | 2026-07-07T12:57:34Z | |
| dc.description | This paper explores connections between Heegaard genus, minimal surfaces, and pseudo-Anosov monodromies. Fixing a pseudo-Anosov map phi and an integer n, let M_n be the 3-manifold fibered over S^1 with monodromy phi^n. JH Rubinstein showed that for a large enough n every minimal surface of genus at most h in M_n is homotopic into a fiber; as a consequence Rubinstein concludes that every Heegaard surface of genus at most h for M_n is standard, that is, obtained by tubing together two fibers. We prove this result and also discuss related results of Lackenby and Souto. | |
| dc.description | This is the version published by Geometry & Topology Monographs on 3 December 2007 | |
| dc.identifier | https://arxiv.org/abs/math/0608517 | |
| dc.identifier | http://arxiv.org/abs/math/0608517 | |
| dc.identifier | Geom. Topol. Monogr. 12 (2007) 17-33 | |
| dc.identifier | doi:10.2140/gtm.2007.12.17 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/224976 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M50, 57M10 | |
| dc.title | The Heegaard genus of bundles over S^1 | |
| dc.type | text |