Generalized Weinstein tubular neighbourhood & Space of Lagrangian submersions

2009/05/05 by Nicolas Roy, Roy, Nicolas
Mathematics · Medicine · #53Dxx #58D15 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Ophthalmology and Eye Disorders #Symplectic Geometry (math.SG) #math.DG #math.SG #msc:53Dxx #msc:58D15

paper · pdf · doi:10.48550/arxiv.0905.0594

15 pages, 4 figures

arxiv created 2009/05/05 · openalex publication_date 2009/05/05 · arxiv updated 2009/12/01 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

Abstract

We present a generalized Weinstein Tubular Neighbourhood theorem for Lagrangian subbundles of Symplectic fibrations. This is then used to study the space of Lagrangian fibrations of symplectic manifolds.

Related

• A lower bound for the radius of Weinstein's Lagrangian tubular neighborhood
• Deformations of Lagrangian NQ-submanifolds
• Weinstein neighbourhood theorems for stratified subspaces
• Lagrangian submanifolds in k-symplectic settings
• Classification of Lagrangian fibrations