The distance between two separating, reducing slopes is at most 4
| dc.creator | Zhang, Mingxing | |
| dc.creator | Qui, Ruifeng | |
| dc.creator | Li, Yannan | |
| dc.date | 2006-09-29 | |
| dc.date.accessioned | 2026-07-07T07:25:25Z | |
| dc.date.available | 2026-07-07T07:25:25Z | |
| dc.description | Let $M$ be a simple 3-manifold such that one component of $\partial M$, say $F$, has genus at least two. For a slope $α$ on $F$, we denote by $M(α)$ the manifold obtained by attaching a 2-handle to $M$ along a regular neighborhood of $α$ on $F$. If $M(α)$ is reducible, then $α$ is called a reducing slope. In this paper, we shall prove that the distance between two separating, reducing slopes on $F$ is at most 4. | |
| dc.description | 17 pages, 26 figures | |
| dc.identifier | https://arxiv.org/abs/math/0609830 | |
| dc.identifier | http://arxiv.org/abs/math/0609830 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/116711 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M50 | |
| dc.title | The distance between two separating, reducing slopes is at most 4 | |
| dc.type | text |