Displacement energy of compact Lagrangian submanifold from open subset

2018/05/17 by Yong‐Geun Oh, Oh, Yong-Geun
Mathematics · #53D05 #53D40 #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.1805.06587

openalex publication_date 2018/05/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that for any compact Lagrangian submanifold intersecting an open subset U in tame symplectic manifold (M,ω), the Hofer displacement energy of L from U is positive, provided L ∩ U ≠ ∅. We also give an explicitlower bound in terms of an ε-regularity type invariant for pseudo-holomorphic curves relative to L.

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