Low-area Floer theory and non-displaceability
Symplectic Geometry
2019-07-01 v3
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.
Keywords
Cite
@article{arxiv.1511.00891,
title = {Low-area Floer theory and non-displaceability},
author = {Dmitry Tonkonog and Renato Vianna},
journal= {arXiv preprint arXiv:1511.00891},
year = {2019}
}
Comments
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