Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On operators on polynomials preserving real-rootedness and the
  Neggers-Stanley Conjecture   We refine a technique used in a paper by Schur on real-rooted polynomials.
This amounts to an extension of a theorem of Wagner on Hadamard products of
Toeplitz matrices. We also apply our results to polynomials for which the
Neggers-Stanley Conjecture is known to hold. More precisely, we settle
interlacing properties for $E$-polynomials of series-parallel posets and
column-strict labelled Ferrers posets.

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The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: econ
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
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The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph