Minimal number of singular fibers in a Lefschetz fibration
| dc.creator | Korkmaz, Mustafa | |
| dc.creator | Ozbagci, Burak | |
| dc.date | 1998-12-08 | |
| dc.date | 1999-02-22 | |
| dc.date.accessioned | 2026-07-07T07:37:17Z | |
| dc.date.available | 2026-07-07T07:37:17Z | |
| dc.description | There exists a (relatively minimal) genus g Lefschetz fibration with only one singular fiber over a closed (Riemann) surface of genus h iff g>2 and h>1. The singular fiber can be chosen to be reducible or irreducible. Other results are that every Dehn twist on a closed surface of genus at least three is a product of two commutators and no Dehn twist on any closed surface is equal to a single commutator. | |
| dc.description | 6 pages, 2 figures, second version | |
| dc.identifier | https://arxiv.org/abs/math/9812051 | |
| dc.identifier | http://arxiv.org/abs/math/9812051 | |
| dc.identifier | Proc. Amer. Math. Soc. 129 (2001), 1545-1549 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/120725 | |
| dc.subject | Geometric Topology | |
| dc.subject | Symplectic Geometry | |
| dc.subject | 57M99(20F38) | |
| dc.title | Minimal number of singular fibers in a Lefschetz fibration | |
| dc.type | text |