Noncomplex smooth 4-manifolds with Lefschetz fibrations

Details Noncomplex smooth 4-manifolds with Lefschetz fibrations Noncomplex smooth 4-manifolds with Lefschetz fibrations

2001-03-22

arxiv.org/abs/math/0103135v1

International Mathematics Research Notices 2001, No. 3

Mathematics

Geometric Topology

14 pages, 4 figures

Scientific paper

For every integer g greater than or equal to 2, there exist infinitely many
pairwise nonhomeomorphic smooth 4-manifolds that admit genus-g Lefschetz
fibrations over S^2 but do not carry any complex structure with either
orientation. This extends a recent result of Ozbagci and Stipsicz.

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