Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Queer dual equivalence graphs   We introduce a new paradigm for proving the Schur $P$-positivity.
Generalizing dual equivalence, we give an axiomatic definition for a family of
involutions on a set of objects to be a queer dual equivalence, and we prove
whenever such a family exists, the fundamental quasisymmetric generating
function is Schur $P$-positive. In contrast with shifted dual equivalence, the
queer dual equivalence involutions restrict to a dual equivalence when the
queer involution is omitted. We highlight the difference between these two
generalization with a new application to the product of Schur $P$-functions.

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The categories of this paper are: adap-org
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The categories of this paper are: funct-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin
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The categories of this paper are: gr-qc
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The categories of this paper are: eess
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The categories of this paper are: astro-ph
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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: cmp-lg
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The categories of this paper are: econ
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The categories of this paper are: q-alg
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: supr-con