Hartogs figure and symplectic non-squeezing
Complex Variables
2011-11-08 v3 Symplectic Geometry
Abstract
We solve a problem on filling by Levi-flat hypersurfaces for a class of totally real 2-tori in a real 4-manifold with an almost complex structure tamed by an exact symplectic form. As an application we obtain a simple proof of Gromov's non-squeezing theorem in dimension 4 and new results on rigidity of symplectic structures.
Cite
@article{arxiv.1104.1845,
title = {Hartogs figure and symplectic non-squeezing},
author = {A. Sukhov and A. Tumanov},
journal= {arXiv preprint arXiv:1104.1845},
year = {2011}
}
Comments
In this version, we've made minor improvements and corrected typos; 12 pages