Symplectic Lefschetz fibrations with arbitrary fundamental groups.

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Title:	Symplectic Lefschetz fibrations with arbitrary fundamental groups.
Author:	Amorós Torrent, Jaume; Bogomolov, Fedor; Katzarkov, Ludmil; Pantev, Tony
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I; Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
Abstract:	In this paper we give an explicit costruction 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.
Subject(s):	-Differential geometry -Differential topology -Lefschetz fibrations -fundamental groups -Topologia diferencial -Classificació AMS::57 Manifolds and cell complexes::57R Differential topology -Classificació AMS::53 Differential geometry::53D Symplectic geometry, contact geometry
Rights:	Attribution-NonCommercial-NoDerivs 2.5 Spain http://creativecommons.org/licenses/by-nc-nd/2.5/es/
Document type:	Article
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