Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The hierarchy of Poisson brackets for the open Toda lattice and its'
  spectral curves   We establish a new representation of the infinite hierarchy of Pois- son
brackets (PB) for the open Toda lattice in terms of its spectral curve. For the
classical Poisson bracket (PB) we give a representation in the form of a
contour integral of some special Abelian differential (meromorphic one-form) on
the spectral curve. All higher brackets of the infinite hierarchy are obtained
by multiplication of the one-form by a power of the spectral parameter.

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The categories of this paper are: eess
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The categories of this paper are: patt-sol
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The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
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The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
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The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
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The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
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The categories of this paper are: alg-geom
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The categories of this paper are: adap-org
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The categories of this paper are: chao-dyn