Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Infinite-dimensional symplectic non-squeezing using non-standard
  analysis   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.

6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph