Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Colored five-vertex models and Lascoux polynomials and atoms   We construct an integrable colored five-vertex model whose partition function
is a Lascoux atom based on the five-vertex model of Motegi and Sakai
[arXiv:1305.3030] and the colored five-vertex model of Brubaker, the first
author, Bump, and Gustafsson [arXiv:1902.01795]. We then modify this model in
two different ways to construct a Lascoux polynomial, yielding the first known
combinatorial interpretation of a Lascoux polynomial and atom. Using this, we
prove a conjectured combinatorial interpretation in terms of set-valued
tableaux of a Lascoux polynomial and atom due to Pechenik and the second author
[arXiv:1904.09674]. We also prove the combinatorial interpretation of the
Lascoux atom using set-valued skyline tableaux of Monical [arXiv:1611.08777].

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The categories of this paper are: hep-th
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The categories of this paper are: dg-ga
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The categories of this paper are: q-bio
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The categories of this paper are: gr-qc
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The categories of this paper are: solv-int
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: acc-phys
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The categories of this paper are: supr-con
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The categories of this paper are: astro-ph
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The categories of this paper are: funct-an
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The categories of this paper are: patt-sol
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The categories of this paper are: ao-sci
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The categories of this paper are: bayes-an