Symplectic Lefschetz fibrations with arbitrary fundamental groups

I. M. Smith, Ludmil Katzarkov, Fedor A. Bogomolov, Tony G. Pantev, Jaume Amorós

Abstract: 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.

Mathematics Subject Classification ID

Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) General geometric structures on low-dimensional manifolds (57M50) Fundamental group, presentations, free differential calculus (57M05)

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