Symplectic maps to projective spaces and symplectic invariants
Auroux, Denis
HAL, hal-00012113 / Harvested from HAL
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.
Publié le : 2000-07-05
Classification:  [MATH.MATH-GT]Mathematics [math]/Geometric Topology [math.GT],  [MATH.MATH-SG]Mathematics [math]/Symplectic Geometry [math.SG]
@article{hal-00012113,
     author = {Auroux, Denis},
     title = {Symplectic maps to projective spaces and symplectic invariants},
     journal = {HAL},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00012113}
}
Auroux, Denis. Symplectic maps to projective spaces and symplectic invariants. HAL, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/hal-00012113/