Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Noncommutative Geometry and Integrable Models   A construction of conservation laws for $\sigma$-models in two dimensions is
generalized in the framework of noncommutative geometry of commutative
algebras. This is done by replacing the ordinary calculus of differential forms
with other differential calculi and introducing an analogue of the Hodge
operator on the latter. The general method is illustrated with several
examples.

36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
2
The categories of this paper are: math