Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A conjectural Peterson isomorphism in K-theory   We state a precise conjectural isomorphism between localizations of the
equivariant quantum K-theory ring of a flag variety and the equivariant
K-homology ring of the affine Grassmannian, in particular relating their
Schubert bases and structure constants. This generalizes Peterson's isomorphism
in (co)homology. We prove a formula for the Pontryagin structure constants in
the K-homology ring, and we use it to check our conjecture in few situations.

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The categories of this paper are: chem-ph
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The categories of this paper are: acc-phys
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: q-alg
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The categories of this paper are: stat
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The categories of this paper are: econ
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The categories of this paper are: atom-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: eess
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The categories of this paper are: nucl-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: physics
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The categories of this paper are: funct-an