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Symplectic Lefschetz fibrations with arbitrary fundamental groups

Symplectic Lefschetz fibrations with arbitrary fundamental groups

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.