Noncomplex smooth 4-manifolds with genus-2 Lefschetz fibrations
Geometric Topology
2007-05-23 v2 Algebraic Geometry
Abstract
We construct noncomplex smooth 4-manifolds which admit genus-2 Lefschetz fibrations over S^2. The fibrations are necessarily hyperelliptic, and the resulting 4-manifolds are not even homotopy equivalent to complex surfaces. Furthermore, these examples show that fiber sums of holomorphic Lefschetz fibrations do not necessarily admit complex structures.
Cite
@article{arxiv.math/9810007,
title = {Noncomplex smooth 4-manifolds with genus-2 Lefschetz fibrations},
author = {Burak Ozbagci and András I. Stipsicz},
journal= {arXiv preprint arXiv:math/9810007},
year = {2007}
}