English

Noncomplex smooth 4-manifolds with Lefschetz fibrations

Geometric Topology 2007-05-23 v1 Symplectic Geometry

Abstract

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.

Keywords

Cite

@article{arxiv.math/0103135,
  title  = {Noncomplex smooth 4-manifolds with Lefschetz fibrations},
  author = {Mustafa Korkmaz},
  journal= {arXiv preprint arXiv:math/0103135},
  year   = {2007}
}

Comments

14 pages, 4 figures