Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Knotted structures in high-energy Beltrami fields on the torus and the
  sphere   Let S be a finite union of (pairwise disjoint but possibly knotted and
linked) closed curves and tubes in the round sphere S^3 or in the flat torus
T^3. In the case of the torus, S is further assumed to be contained in a
contractible subset of T^3. In this paper we show that for any sufficiently
large odd integer \lambda there exists a Beltrami field on S^3 or T^3
satisfying curl u = \lambda u and with a collection of vortex lines and vortex
tubes given by S, up to an ambient diffeomorphism.

30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ