Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Maximal fillings of moon polyominoes, simplicial complexes, and Schubert
  polynomials   We exhibit a canonical connection between maximal (0,1)-fillings of a moon
polyomino avoiding north-east chains of a given length and reduced pipe dreams
of a certain permutation. Following this approach we show that the simplicial
complex of such maximal fillings is a vertex-decomposable, and thus shellable,
sphere. In particular, this implies a positivity result for Schubert
polynomials. For Ferrers shapes, we moreover construct a bijection to maximal
fillings avoiding south-east chains of the same length which specializes to a
bijection between k-triangulations of the n-gon and k-fans of Dyck paths of
length 2(n-2k). Using this, we translate a conjectured cyclic sieving
phenomenon for k-triangulations with rotation to the language of k-flagged
tableaux with promotion.

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The categories of this paper are: nucl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: solv-int
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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: adap-org
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The categories of this paper are: stat
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: quant-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: cmp-lg
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The categories of this paper are: ao-sci