Symplectic Lefschetz fibrations with arbitrary fundamental groups
Geometric Topology
2009-03-10 v2 Algebraic Geometry
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.
Cite
@article{arxiv.math/9810042,
title = {Symplectic Lefschetz fibrations with arbitrary fundamental groups},
author = {J. Amorós and F. Bogomolov and L. Katzarkov and T. Pantev and I. Smith},
journal= {arXiv preprint arXiv:math/9810042},
year = {2009}
}
Comments
45 pages, LaTeX2e. Minor mistakes corrected. New appendix by Ivan Smith added, proving the non-existence of SLF with monodromy contained in the Torelli group