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Proceedings of 7th Geometry-Topology Conference,

Summary: Proceedings of 7th
Geometry-Topology Conference,
pp, 1 ­ 42
Symplectic maps to projective spaces and symplectic
Denis Auroux
Abstract. After reviewing recent results on symplectic Lefschetz pencils and sym-
plectic branched covers of CP2
, we describe a new construction of maps from sym-
plectic manifolds of any dimension to CP2
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.
1. Introduction
Let (X2n
, ) be a compact symplectic manifold. We will throughout this text assume
that the cohomology class 1
2 [] H2


Source: Auroux, Denis - Department of Mathematics, Massachusetts Institute of Technology (MIT)


Collections: Mathematics