Pseudoholomorphic discs and symplectic structures in Hilbert space
Complex Variables
2015-03-03 v2 Analysis of PDEs
Symplectic Geometry
Abstract
We develop the theory of -holomorphic discs in Hilbert spaces with almost complex structures. As an aplication, we prove a version of Gromov's symplectic non-squeezing theorem for Hilbert spaces. It can be applied to short-time symplectic flows of a wide class of Hamiltonian PDEs.
Cite
@article{arxiv.1411.3993,
title = {Pseudoholomorphic discs and symplectic structures in Hilbert space},
author = {Alexandre Sukhov and Alexander Tumanov},
journal= {arXiv preprint arXiv:1411.3993},
year = {2015}
}
Comments
32 pages