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arXiv · 1805.06587

Displacement energy of compact Lagrangian submanifold from open subset

Yong-Geun Oh
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Abstract

We prove that for any compact Lagrangian submanifold intersecting an open subset $U$ in tame symplectic manifold $(M,\omega)$, the Hofer displacement energy of $L$ from $U$ is positive, provided $L \cap U \neq \emptyset$. We also give an explicitlower bound in terms of an $\epsilon$-regularity type invariant for pseudo-holomorphic curves relative to $L$.

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Yong-Geun Oh. 2018-05-17. Displacement energy of compact Lagrangian submanifold from open subset. https://arxiv.org/abs/1805.06587

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