Symplectic maps to projective spaces and symplectic invariants
Geometric Topology
2007-05-23 v1 Symplectic Geometry
Abstract
After reviewing recent results on symplectic Lefschetz pencils and symplectic branched covers of CP^2, we describe a new construction of maps from symplectic manifolds of any dimension to CP^2 and the associated monodromy invariants. We also show that a dimensional induction process makes it possible to describe any compact symplectic manifold by a series of words in braid groups and a word in a symmetric group.
Cite
@article{arxiv.math/0007130,
title = {Symplectic maps to projective spaces and symplectic invariants},
author = {Denis Auroux},
journal= {arXiv preprint arXiv:math/0007130},
year = {2007}
}
Comments
39 pages; to appear in Proc. 7th Gokova Geometry-Topology Conference