Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Descent-cycling in Schubert calculus   We prove two lemmata about Schubert calculus on generalized flag manifolds
G/B, and in the case of the ordinary flag manifold GL_n/B we interpret them
combinatorially in terms of descents, and geometrically in terms of missing
subspaces. One of them gives a symmetry of Schubert calculus that we
christen_descent-cycling_. Computer experiment shows that these lemmata suffice
to determine all of GL_n Schubert calculus through n=5, and 99.97%+ at n=6. We
use them to give a quick proof of Monk's rule. The lemmata also hold in
equivariant (``double'') Schubert calculus for Kac-Moody groups G.

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The categories of this paper are: q-bio
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The categories of this paper are: eess
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The categories of this paper are: patt-sol
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: econ
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The categories of this paper are: math-ph
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The categories of this paper are: stat
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The categories of this paper are: hep-ph
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The categories of this paper are: q-alg
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The categories of this paper are: chao-dyn
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: bayes-an
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The categories of this paper are: ao-sci