Symplectic Lefschetz fibrations with arbitrary fundamental groups

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In this paper we give an explicit construction of a symplectic Lefschetz fibration whose total space is a smooth compact four dimensional manifold with a prescribed fundamental group. We also study the numerical properties of the sections in symplectic Lefschetz fibrations and their relation to the structure of the monodromy group.
45 pages, LaTeX2e. Minor mistakes corrected. New appendix by Ivan Smith added, proving the non-existence of SLF with monodromy contained in the Torelli group

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Geometric Topology, Algebraic Geometry, 57M50,57M05,14D05

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http://salesiana.dossiersoluciones.com/handle/123456789/222748

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9810042
 http://arxiv.org/abs/math/9810042

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arXiv