Symplectic maps to projective spaces and symplectic invariants

Authors : Denis Auroux

Pages : 1-42

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Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :After reviewing recent results on symplectic Lefschetz pencils and symplectic branched covers of \CP2, we describe a new construction of maps from symplectic 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.
Keywords : Turk J Math, 25, 2001, , 1 42 Turk J Math, vol 25, iss 1