Degeneration of Heegaard genus, a survey
| dc.creator | Bachman, David | |
| dc.creator | Derby-Talbot, Ryan | |
| dc.date | 2006-06-15 | |
| dc.date | 2009-03-30 | |
| dc.date.accessioned | 2026-07-07T12:57:34Z | |
| dc.date.available | 2026-07-07T12:57:34Z | |
| dc.description | We survey known (and unknown) results about the behavior of Heegaard genus of 3-manifolds constructed via various gluings. The constructions we consider are (1) gluing together two 3-manifolds with incompressible boundary, (2) gluing together the boundary components of surface times I, and (3) gluing a handlebody to the boundary of a 3-manifold. We detail those cases in which it is known when the Heegaard genus is less than what is expected after gluing. | |
| dc.description | This is the version published by Geometry & Topology Monographs on 3 December 2007 | |
| dc.identifier | https://arxiv.org/abs/math/0606383 | |
| dc.identifier | http://arxiv.org/abs/math/0606383 | |
| dc.identifier | Geom. Topol. Monogr. 12 (2007) 1-15 | |
| dc.identifier | doi:10.2140/gtm.2007.12.1 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/224975 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M99, 57N10, 57M27 | |
| dc.title | Degeneration of Heegaard genus, a survey | |
| dc.type | text |