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arXiv · 1511.00891

Low-area Floer theory and non-displaceability

Dmitry Tonkonog·Renato Vianna
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Abstract

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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Dmitry Tonkonog, Renato Vianna. 2017-06-30. Low-area Floer theory and non-displaceability. https://doi.org/10.4310/jsg.2018.v16.n5.a6

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