Symplectic maps to projective spaces and symplectic invariants

Denis Auroux (1)

1 CMLS - Centre de Mathématiques Laurent Schwartz

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.

Domaines: Topologie géométrique [math.GT]; Géométrie symplectique [math.SG]

Denis Auroux. Symplectic maps to projective spaces and symplectic invariants. 2000. ⟨hal-00012113⟩