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. 2013
| Original language | English (US) |
|---|---|
| Pages (from-to) | 221-233 |
| Number of pages | 13 |
| Journal | Illinois Journal of Mathematics |
| Volume | 56 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2012 |
| Externally published | Yes |
ASJC Scopus subject areas
- General Mathematics