Low-area Floer theory and non-displaceability
classification
🧮 math.SG
keywords
theoryfloerlagrangiannon-displaceabilityareaboundarycomplexcontinuous
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We introduce a new version of Floer theory of a non-monotone Lagrangian submanifold which only uses least area holomorphic disks with boundary on it. We use this theory to prove non-displaceability theorems about continuous families of Lagrangian tori in the complex projective plane and other del Pezzo surfaces.
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