Realizing 4-manifolds as achiral Lefschetz fibrations
| dc.creator | Etnyre, John B. | |
| dc.creator | Fuller, Terry | |
| dc.date | 2005-09-30 | |
| dc.date | 2006-01-22 | |
| dc.date.accessioned | 2026-07-07T06:47:07Z | |
| dc.date.available | 2026-07-07T06:47:07Z | |
| dc.description | We show that any 4-manifold, after surgery on a curve, admits an achiral Lefschetz fibration. In particular, we show that the connected sum of any simply connected 4-manifold with a 2-sphere bundle over the 2-sphere will admit an achiral Lefschetz fibration. We also show these surgered manifolds admit near-symplectic structures and prove more generally that achiral Lefschetz fibrations with sections have near-symplectic structures. As a corollary to our proof we obtain an alternate proof of Gompf's result on the existence of symplectic structures on Lefschetz pencils. | |
| dc.description | 15 pages, 2 figures | |
| dc.identifier | https://arxiv.org/abs/math/0510008 | |
| dc.identifier | http://arxiv.org/abs/math/0510008 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/103553 | |
| dc.subject | Geometric Topology | |
| dc.subject | Symplectic Geometry | |
| dc.subject | 57N13, 57R17 | |
| dc.title | Realizing 4-manifolds as achiral Lefschetz fibrations | |
| dc.type | text |