Journal of Symplectic Geometry

Volume 16 (2018)

Number 5

Low-area Floer theory and non-displaceability

Pages: 1409 – 1454

DOI: https://dx.doi.org/10.4310/JSG.2018.v16.n5.a6

Authors

Dmitry Tonkonog (Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, United Kingdom)

Renato Vianna (Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, United Kingdom)

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.

Full Text (PDF format)

Received 14 November 2016

Accepted 7 February 2018

Published 26 February 2019