Noncomplex smooth 4-manifolds with genus-2 Lefschetz fibrations

Burak Ozbagci; András I. Stipsicz

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Noncomplex smooth 4-manifolds with genus-2 Lefschetz fibrations

Burak Ozbagci·András I. Stipsicz

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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.

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BibTeX RIS

Burak Ozbagci, András I. Stipsicz. 1998-10-02. Noncomplex smooth 4-manifolds with genus-2 Lefschetz fibrations. https://arxiv.org/abs/math/9810007

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