Non-isotopic Heegaard splittings of Seifert fibered spaces
| dc.creator | Bachman, David | |
| dc.creator | Derby-Talbot, Ryan | |
| dc.date | 2005-04-29 | |
| dc.date | 2009-03-06 | |
| dc.date.accessioned | 2026-07-07T12:49:26Z | |
| dc.date.available | 2026-07-07T12:49:26Z | |
| dc.description | We find a geometric invariant of isotopy classes of strongly irreducible Heegaard splittings of toroidal 3-manifolds. Combining this invariant with a theorem of R Weidmann, proved here in the appendix, we show that a closed, totally orientable Seifert fibered space M has infinitely many isotopy classes of Heegaard splittings of the same genus if and only if M has an irreducible, horizontal Heegaard splitting, has a base orbifold of positive genus, and is not a circle bundle. This characterizes precisely which Seifert fibered spaces satisfy the converse of Waldhausen's conjecture. | |
| dc.description | This is the version published by Algebraic & Geometric Topology on 12 March 2006 | |
| dc.identifier | https://arxiv.org/abs/math/0504605 | |
| dc.identifier | http://arxiv.org/abs/math/0504605 | |
| dc.identifier | Algebr. Geom. Topol. 6 (2006) 351-372 | |
| dc.identifier | doi:10.2140/agt.2006.6.351 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/222401 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M27, 57M60, 57N10 | |
| dc.title | Non-isotopic Heegaard splittings of Seifert fibered spaces | |
| dc.type | text |