Stein fillable 3-manifolds admit positive open book decompositions along arbitrary links
| dc.creator | Ishikawa, Masaharu | |
| dc.date | 2004-02-18 | |
| dc.date.accessioned | 2026-07-07T05:05:32Z | |
| dc.date.available | 2026-07-07T05:05:32Z | |
| dc.description | It is known by A. Loi and R. Piergallini that a closed, oriented, smooth 3-manifold is Stein fillable if and only if it has a positive open book decomposition. In the present paper we will show that for every link L in a Stein fillable 3-manifold there exists an additional knot L' to L such that the union of the links L and L' is the binding of a positive open book decomposition of the Stein fillable 3-manifold. To prove the assertion, we will use the divide, which is a generalization of real morsification theory of complex plane curve singularities, and 2-handle attachings along Legendrian curves. | |
| dc.description | 17 pages, 9 figures | |
| dc.identifier | https://arxiv.org/abs/math/0402290 | |
| dc.identifier | http://arxiv.org/abs/math/0402290 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70202 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M50; 55R25 | |
| dc.title | Stein fillable 3-manifolds admit positive open book decompositions along arbitrary links | |
| dc.type | text |