Hyperelliptic Lefschetz fibrations and branched covering spaces
| dc.creator | Fuller, Terry | |
| dc.date | 1998-11-15 | |
| dc.date | 1999-03-25 | |
| dc.date.accessioned | 2026-07-07T05:26:52Z | |
| dc.date.available | 2026-07-07T05:26:52Z | |
| dc.description | Let M be a smooth 4-manifold which admits a relatively minimal hyperelliptic genus h Lefschetz fibration over the 2-sphere. If all of the vanishing cycles for this fibration are nonseparating curves, then we show that M is a 2-fold cover of a 2-sphere bundle over the 2-sphere, branched over an embedded surface. If the collection of vanishing cycles for this fibration includes separating curves, we show that M is the relative minimalization of a Lefshetz fibration N, with N a 2-fold branched cover of a rational surface, branched over an embedded surface. | |
| dc.description | 22 pages, 18 figures; main theorems changed from earlier version | |
| dc.identifier | https://arxiv.org/abs/math/9811093 | |
| dc.identifier | http://arxiv.org/abs/math/9811093 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77717 | |
| dc.subject | Geometric Topology | |
| dc.subject | Symplectic Geometry | |
| dc.subject | 57R55 (Primary), 57R65, 57M12 (Secondary) | |
| dc.title | Hyperelliptic Lefschetz fibrations and branched covering spaces | |
| dc.type | text |