Deformations of log-Lagrangian submanifolds of Poisson manifolds

2013/11/12 by Ziv Ran, Ran, Ziv
Mathematics · #14J40 #32G07 #53D12 #53D17 #Algebraic Geometry (math.AG) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds #Symplectic Geometry (math.SG)

paper · pdf · doi:10.48550/arxiv.1311.2656

openalex publication_date 2013/11/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider Lagrangian-like submanifolds in certain even-dimensional 'symplectic-like' Poisson manifolds. We show, under suitable transversality hypotheses, that the pair consisting of the ambient Poisson manifold and the submanifold has unobstructed deformations and that the deformations automatically preserve the Lagrangian-like property.

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