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arXiv · 1411.3993

Pseudoholomorphic discs and symplectic structures in Hilbert space

Alexandre Sukhov·Alexander Tumanov
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Abstract

We develop the theory of $J$-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.

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Alexandre Sukhov, Alexander Tumanov. 2015-03-01. Pseudoholomorphic discs and symplectic structures in Hilbert space. https://arxiv.org/abs/1411.3993

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