Symplectic Lefschetz fibrations with arbitrary fundamental groups

Details Symplectic Lefschetz fibrations with arbitrary fundamental groups Symplectic Lefschetz fibrations with arbitrary fundamental groups

1998-10-07

arxiv.org/abs/math/9810042v2

Mathematics

Geometric Topology

45 pages, LaTeX2e. Minor mistakes corrected. New appendix by Ivan Smith added, proving the non-existence of SLF with monodromy

Scientific paper

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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