Destabilizing amalgamated Heegaard splittings
| dc.creator | Schultens, Jennifer | |
| dc.creator | Weidmann, Richard | |
| dc.date | 2005-10-18 | |
| dc.date | 2009-04-01 | |
| dc.date.accessioned | 2026-07-07T12:58:39Z | |
| dc.date.available | 2026-07-07T12:58:39Z | |
| dc.description | We construct a sequence of pairs of 3-manifolds each with torus boundary and with the following two properties: 1) For the result of a carefully chosen glueing of the nth pair of 3-manifolds along their boundary tori, the ratio of the genus of the resulting 3-manifold to the sum of the genera of the pair of 3-manifolds is less than 1/2. 2) The result of amalgamating certain unstabilized Heegaard splittings of the pair of 3-manifolds to form a Heegaard splitting of the resulting 3-manifold produces a stabilized Heegaard splitting that can be destabilized successively n times. | |
| dc.description | This is the version published by Geometry & Topology Monographs on 3 December 2007 | |
| dc.identifier | https://arxiv.org/abs/math/0510386 | |
| dc.identifier | http://arxiv.org/abs/math/0510386 | |
| dc.identifier | Geom. Topol. Monogr. 12 (2007) 319-334 | |
| dc.identifier | doi:10.2140/gtm.2007.12.319 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/225315 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M27 | |
| dc.title | Destabilizing amalgamated Heegaard splittings | |
| dc.type | text |