Abstract
We consider product 4–manifolds , where is a closed, connected and oriented 3–manifold. We prove that if admits a complex structure or a Lefschetz or Seifert fibration, then the following statement is true:
admits a symplectic structure if and only if fibers over ,
under the additional assumption that has no fake 3–cells. We also discuss the relationship between the geometry of and complex structures and Seifert fibrations on .
Citation
Tolga Etgu. "Lefschetz fibrations, complex structures and Seifert fibrations on $S^1 \times M^3$." Algebr. Geom. Topol. 1 (1) 469 - 489, 2001. https://doi.org/10.2140/agt.2001.1.469
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