Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Schubert Polynomials in Types A and C   Enriched versions of type A Schubert polynomials are constructed with
coefficients in a polynomial ring in variables $c_1, c_2, \ldots$. Specializing
these variables to $0$ recovers the double Schubert polynomials of Lascoux and
Sch\"utzenberger; specializing them to certain power series recovers the
back-stable double Schubert polynomials of Lam, Lee, and Shimozono;
specializing them to Schur Q-polynomials relates them to the type C double
Schubert polynomials of Ikeda, Mihalcea, and Naruse. Many formulas for
classical Schubert polynomials generalize to this setting. They give, and are
characterized by, formulas for degeneracy loci.

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The categories of this paper are: physics
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The categories of this paper are: chao-dyn
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: supr-con
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The categories of this paper are: dg-ga
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The categories of this paper are: cond-mat
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The categories of this paper are: q-bio
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The categories of this paper are: comp-gas
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The categories of this paper are: ao-sci
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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: nlin