Heegaard gradient of Seifert fibered 3-manifold
| dc.creator | Ichihara, Kazuhiro | |
| dc.date | 2002-11-06 | |
| dc.date | 2003-10-27 | |
| dc.date.accessioned | 2026-07-07T04:52:42Z | |
| dc.date.available | 2026-07-07T04:52:42Z | |
| dc.description | The infimal Heegaard gradient of a compact 3-manifold was defined and studied by Marc Lackenby in an approach toward the well-known virtually Haken conjecture. As instructive examples, we consider Seifert fibered 3-manifolds, and show that a Seifert fibered 3-manifold has zero infimal Heegaard gradient if and only if it virtually fibers over the circle or over a surface other than the 2-sphere. For a collection of finite coverings of a Seifert fibered 3-manifold, a necessary and sufficient condition to have zero infimal Heegaard gradient is also given. | |
| dc.description | 9 pages; revised version; Comments about Heegaard splittings of Seifert fibered 3-manifolds added, proofs in Section 5 revised, and typos corrected | |
| dc.identifier | https://arxiv.org/abs/math/0211102 | |
| dc.identifier | http://arxiv.org/abs/math/0211102 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65565 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M10; 57N10; 57M50 | |
| dc.title | Heegaard gradient of Seifert fibered 3-manifold | |
| dc.type | text |