Matchings with fixed unmatched vertices are Schur-positive w.r.t. short chords; coefficients interpreted via Bessel polynomials, with Knuth-like equivalence classes corresponding to irreps.
The bruhat order on symmetric varieties
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Schur-Positivity of Short Chords in Matchings
Matchings with fixed unmatched vertices are Schur-positive w.r.t. short chords; coefficients interpreted via Bessel polynomials, with Knuth-like equivalence classes corresponding to irreps.