Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Schubert polynomials and degeneracy locus formulas   In our previous work arXiv:1305.3543, we employed the approach to Schubert
polynomials by Fomin, Stanley, and Kirillov to obtain simple, uniform proofs
that the double Schubert polynomials of Lascoux and Schutzenberger and Ikeda,
Mihalcea, and Naruse represent degeneracy loci for the classical groups in the
sense of Fulton. Using this as our starting point, and purely combinatorial
methods, we obtain a new proof of the general formulas of arXiv:0908.3628,
which represent the degeneracy loci coming from any isotropic partial flag
variety. Along the way, we also find several new formulas and elucidate the
connections between some earlier ones.

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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: plasm-ph
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The categories of this paper are: q-fin
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The categories of this paper are: solv-int
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The categories of this paper are: supr-con
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The categories of this paper are: cond-mat
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The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom
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The categories of this paper are: eess
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The categories of this paper are: chem-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: acc-phys
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The categories of this paper are: nlin
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The categories of this paper are: math-ph
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The categories of this paper are: astro-ph