Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Schur positivity of $\Delta_{e_2} e_n[X]$   Let $\mathbb{N}$ denote the set of non-negative integers. Haglund, Wilson,
and the second author have conjectured that the coefficient of any Schur
function $s_\lambda[X]$ in $\Delta_{e_k} e_n[X]$ is a polynomial in
$\mathbb{N}[q,t]$. We present four proofs of a stronger statement in the case
$k=2$; We show that the coefficient of any Schur function $s_\lambda[X]$ in
$\Delta_{e_2} e_n[X]$ has a positive expansion in terms of $q,t$-analogs.

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The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
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The categories of this paper are: nlin
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The categories of this paper are: supr-con
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-lat
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The categories of this paper are: ao-sci
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The categories of this paper are: gr-qc
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The categories of this paper are: chem-ph
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The categories of this paper are: adap-org
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: math-ph
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The categories of this paper are: physics
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The categories of this paper are: acc-phys