Hartogs figure and symplectic non-squeezing

Details Hartogs figure and symplectic non-squeezing Hartogs figure and symplectic non-squeezing

2011-04-11

arxiv.org/abs/1104.1845v3

Mathematics

Complex Variables

In this version, we've made minor improvements and corrected typos; 12 pages

Scientific paper

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.

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