Low-area Floer theory and non-displaceability
arXiv:1511.00891 · doi:10.4310/JSG.2018.v16.n5.a6
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.
32 pages, 9 figures; v2: major improvements, added a new result concerning del Pezzos, corrected some mistakes; v3: explained transversality for annuli, commented on higher dimensions; accepted version
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