Topology of broken Lefschetz fibrations and near-symplectic 4-manifolds
| dc.creator | Baykur, R. Inanc | |
| dc.date | 2007-12-31 | |
| dc.date | 2008-02-12 | |
| dc.date.accessioned | 2026-07-07T09:19:44Z | |
| dc.date.available | 2026-07-07T09:19:44Z | |
| dc.description | The topology of broken Lefschetz fibrations is studied by means of handle decompositions. We consider a slight generalization of round handles, and describe the handle diagrams for all that appear in dimension four. We establish simplified handlebody and monodromy representations for a certain subclass of broken Lefschetz fibrations/pencils, while showing that all near-symplectic closed 4-manifolds can be supported by these a la Auroux, Donaldson, Katzarkov. Various constructions of broken Lefschetz fibrations and a generalization of the symplectic fiber sum operation to the near-symplectic setting are given. Extending the study of Lefschetz fibrations, we detect certain constraints on the symplectic fiber sum operation to result in a 4-manifold with nontrivial Seiberg-Witten invariant, as well as the self-intersection numbers that sections of broken Lefschetz fibrations can acquire. | |
| dc.description | 26 pages, 12 figures. Shorter title and fewer typos | |
| dc.identifier | https://arxiv.org/abs/0801.0192 | |
| dc.identifier | http://arxiv.org/abs/0801.0192 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/154499 | |
| dc.subject | Geometric Topology | |
| dc.subject | Symplectic Geometry | |
| dc.title | Topology of broken Lefschetz fibrations and near-symplectic 4-manifolds | |
| dc.type | text |