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arXiv · 1501.05905

Infinite-dimensional symplectic non-squeezing using non-standard analysis

Oliver Fabert
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Abstract

We prove a non-squeezing result for infinite-dimensional Hamiltonian flows using non-standard model theory. For this we prove the existence of a corresponding family of pseudoholomorphic spheres and characterize the maximal time in terms of a limiting behaviour for these curves. While our proof is based on the finite-dimensional results from Gromov's original proof, we do not ask for any prior knowledge of non-standard model theory.

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Oliver Fabert. 2018-06-16. Infinite-dimensional symplectic non-squeezing using non-standard analysis. https://arxiv.org/abs/1501.05905

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