Symplectic maps to projective spaces and symplectic invariants

Details Symplectic maps to projective spaces and symplectic invariants Symplectic maps to projective spaces and symplectic invariants

2000-07-21

arxiv.org/abs/math/0007130v1

Mathematics

Geometric Topology

39 pages; to appear in Proc. 7th Gokova Geometry-Topology Conference

Scientific paper

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.

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