2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/59603After 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.39 pages; to appear in Proc. 7th Gokova Geometry-Topology ConferenceGeometric TopologySymplectic GeometrySymplectic maps to projective spaces and symplectic invariantstext