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Low-area Floer theory and non-displaceability

Published 3 Nov 2015 in math.SG | (1511.00891v3)

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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