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arxiv: math/9810042 · v2 · submitted 1998-10-07 · 🧮 math.GT · math.AG

Symplectic Lefschetz fibrations with arbitrary fundamental groups

classification 🧮 math.GT math.AG
keywords lefschetzsymplecticfibrationsfundamentalgrouparbitrarycompactconstruction
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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.

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