par Cavalcanti, Gil Ramos;Klaasse, Ralph
Référence Journal of symplectic geometry, 17, 3, page (603-638)
Publication Publié, 2019
Article révisé par les pairs
Résumé : Log-symplectic structures are Poisson structures π on X2n for which ∧nπ vanishes transversally. By viewing them as symplectic forms in a Lie algebroid, the b-tangent bundle, we use symplectic techniques to obtain existence results for log-symplectic structures on total spaces of fibration-like maps. More precisely, we introduce the notion of a b-hyperfibration and show that they give rise to log-symplectic structures. Moreover, we link log-symplectic structures to achiral Lefschetz fibrations and folded-symplectic structures.