Noncomplex smooth 4-manifolds with genus-2 Lefschetz fibrations

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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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Geometric Topology, Algebraic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/120724

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9810007
 http://arxiv.org/abs/math/9810007
 Proc. Amer. Math. Soc. 128 (2000), 3125-3128

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arXiv