Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Affine Lie-Poisson Reduction, Yang-Mills magnetohydrodynamics, and
  superfluids   This paper develops the theory of affine Lie-Poisson reduction and applies
this process to Yang-Mills and Hall magnetohydrodynamics for fluids and
superfluids. As a consequence of this approach, the associated Poisson brackets
are obtained by reduction of a canonical cotangent bundle. A Kelvin-Noether
circulation theorem is presented and is applied to these examples.

36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs