Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Self-Dual Yang-Mills and the Hamiltonian Structures of Integrable
  Systems   In recent years it has been shown that many, and possibly all, integrable
systems can be obtained by dimensional reduction of self-dual Yang-Mills. I
show how the integrable systems obtained this way naturally inherit
bihamiltonian structure. I also present a simple, gauge-invariant formulation
of the self-dual Yang-Mills hierarchy proposed by several authors, and I
discuss the notion of gauge equivalence of integrable systems that arises from
the gauge invariance of the self-duality equations (and their hierarchy); this
notion of gauge equivalence may well be large enough to unify the many diverse
existing notions.

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The categories of this paper are: atom-ph
16
The categories of this paper are: stat
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
2
The categories of this paper are: math
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph