Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum cohomology and the periodic Toda lattice   We describe a relation between the periodic one-dimensional Toda lattice and
the quantum cohomology of the periodic flag manifold (an infinite-dimensional
Kaehler manifold). This generalizes a result of Givental and Kim relating the
open Toda lattice and the quantum cohomology of the finite-dimensional flag
manifold. We derive a simple and explicit "differential operator formula" for
the necessary quantum products, which applies both to the finite-dimensional
and to the infinite-dimensional situations.

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The categories of this paper are: bayes-an
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The categories of this paper are: stat
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The categories of this paper are: dg-ga
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The categories of this paper are: quant-ph
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The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
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The categories of this paper are: eess
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The categories of this paper are: nucl-th
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The categories of this paper are: econ
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-alg
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The categories of this paper are: hep-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: adap-org
9
The categories of this paper are: nlin
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The categories of this paper are: acc-phys