Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Chromatic nonsymmetric polynomials of Dyck graphs are slide-positive   Motivated by the study of Macdonald polynomials, J. Haglund and A. Wilson
introduced a nonsymmetric polynomial analogue of the chromatic quasisymmetric
function called the \emph{chromatic nonsymmetric polynomial} of a Dyck graph.
We give a positive expansion for this polynomial in the basis of fundamental
slide polynomials using recent work of Assaf-Bergeron on flagged
$(P,\rho)$-partitions. We then derive the known expansion for the chromatic
quasisymmetric function of Dyck graphs in terms of Gessel's fundamental basis
by taking a backstable limit of our expansion.

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The categories of this paper are: q-alg
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The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
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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: acc-phys
4
The categories of this paper are: cond-mat
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The categories of this paper are: comp-gas
3
The categories of this paper are: physics
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph