Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Finite Non-periodic Toda Lattice: A Geometric and Topological
  Viewpoint   In 1967, Japanese physicist Morikazu Toda published the seminal papers
exhibiting soliton solutions to a chain of particles with nonlinear
interactions between nearest neighbors. In the decades that followed, Toda's
system of particles has been generalized in different directions, each with its
own analytic, geometric, and topological characteristics that sets it apart
from the others. These are known collectively as the Toda lattice. This survey
describes and compares several versions of the finite non-periodic Toda lattice
from the perspective of their geometry and topology.

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The categories of this paper are: ao-sci
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The categories of this paper are: q-fin
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The categories of this paper are: econ
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The categories of this paper are: alg-geom
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The categories of this paper are: solv-int
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The categories of this paper are: cond-mat
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: cs
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The categories of this paper are: adap-org
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The categories of this paper are: quant-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: funct-an
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The categories of this paper are: physics
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The categories of this paper are: astro-ph