Lefschetz fibrations, complex structures and Seifert fibrations on S^1 X M^3
| dc.creator | Etgu, Tolga | |
| dc.date | 2001-09-20 | |
| dc.date.accessioned | 2026-07-07T06:24:49Z | |
| dc.date.available | 2026-07-07T06:24:49Z | |
| dc.description | We consider product 4--manifolds S^1 X M, where M is a closed, connected and oriented 3-manifold. We prove that if S^1 X M admits a complex structure or a Lefschetz or Seifert fibration, then the following statement is true: S^1 X M admits a symplectic structure if and only if M fibers over S^1, under the additional assumption that M has no fake 3-cells. We also discuss the relationship between the geometry of M and complex structures and Seifert fibrations on S^1 X M. | |
| dc.description | Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol1/agt-1-24.abs.html | |
| dc.identifier | https://arxiv.org/abs/math/0109150 | |
| dc.identifier | http://arxiv.org/abs/math/0109150 | |
| dc.identifier | Algebr. Geom. Topol. 1 (2001) 469-489 | |
| dc.identifier | doi:10.2140/agt.2001.1.469 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/96675 | |
| dc.subject | Symplectic Geometry | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M50, 57R17, 57R57, 53C15, 32Q55 | |
| dc.title | Lefschetz fibrations, complex structures and Seifert fibrations on S^1 X M^3 | |
| dc.type | text |