Comparing Heegaard and JSJ structures of orientable 3-manifolds
| dc.creator | Scharlemann, Martin | |
| dc.creator | Schultens, Jennifer | |
| dc.date | 1998-02-20 | |
| dc.date.accessioned | 2026-07-07T05:23:55Z | |
| dc.date.available | 2026-07-07T05:23:55Z | |
| dc.description | The Heegaard genus g of an irreducible closed orientable 3-manifold puts a limit on the number and complexity of the pieces that arise in the Jaco-Shalen-Johannson decomposition of the manifold by its canonical tori. For example, if p of the complementary components are not Seifert fibered, then p < g. This result generalizes work of Kobayashi. The Heegaard genus g also puts explicit bounds on the complexity of the Seifert pieces. For example, if the union of the base spaces of the Seifert pieces has Euler characteristic X and there are a total of f exceptional fibers in the Seifert pieces, then f - X is no greater than 3g - 3 - p. | |
| dc.description | 30 pages, 10 figures | |
| dc.identifier | https://arxiv.org/abs/math/9802101 | |
| dc.identifier | http://arxiv.org/abs/math/9802101 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76634 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57C25; 57M50; 57A10 | |
| dc.title | Comparing Heegaard and JSJ structures of orientable 3-manifolds | |
| dc.type | text |