Lefschetz fibrations and an invariant of finitely presented groups
| dc.creator | Korkmaz, Mustafa | |
| dc.date | 2007-03-07 | |
| dc.date.accessioned | 2026-07-07T07:50:40Z | |
| dc.date.available | 2026-07-07T07:50:40Z | |
| dc.description | Every finitely presented group is the fundamental group of the total space of a Lefschetz fibration. This follows from results of Gompf and Donaldson, and was also proved by Amoros-Bogomolov-Katzarkov-Pantev. We give another proof by providing the monodromy explicitly. We then define the genus of a finitely presented group $Γ$ to be the minimal genus of a Lefschetz fibration with fundamental group $Γ$. We also give some estimates of the genus of certain groups. | |
| dc.description | 20 pages, 8 figures | |
| dc.identifier | https://arxiv.org/abs/math/0703196 | |
| dc.identifier | http://arxiv.org/abs/math/0703196 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/125237 | |
| dc.subject | Geometric Topology | |
| dc.title | Lefschetz fibrations and an invariant of finitely presented groups | |
| dc.type | text |