Poisson structures on wrinkled fibrations

Abstract

We provide local formulæ for Poisson bivectors and symplectic forms on the leaves of Poisson structures associated to wrinkled fibrations on smooth $4$--manifolds.

arXiv commentPreprint version. The original paper was published in 2016 in the Boletín de la Sociedad Matemática Mexicana. 14 pages, 4 figures

References in corpus (7)

• Singular Lefschetz pencils
• Lagrangian matching invariants for fibred four-manifolds: II
• Wrinkled fibrations on near-symplectic manifolds
• Lagrangian matching invariants for fibred four-manifolds: I
• The h-principle for broken Lefschetz fibrations
• Poisson brackets with prescribed Casimirs
• Poisson structures on smooth 4-manifolds

Cited by in corpus (5)

• Poisson structures on smooth 4-manifolds
• On Computational Poisson Geometry II: Numerical Methods
• On Computational Poisson Geometry I: Symbolic Foundations
• Compatible Poisson Structures on Fibered $5$-Manifolds
• Poisson and near-symplectic structures on generalized wrinkled fibrations in dimension 6