Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Classical Integrable Systems and Gauge Theory   This is an introductory survey written in Japanese on classical integrability
from the viewpoint of symmetry reduction of 4-dimensional anti-self-dual
Yang-Mills equations. Twistor construction methods are discussed in detail in
4-dimension. Exact local solutions are, in this article, presented in terms of
quasideterminants in a compact form. Some integrable aspects in lower-dimension
are clarified in the context of the reduction. Noncommutative extension and
higher-dimensional extension are briefly discussed.

11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg