Signed puzzles for Schubert coefficients
arXiv:2504.17734
Abstract
We give a signed puzzle rule to compute Schubert coefficients. The rule is based on a careful analysis of Knutson's recurrence arXiv:math/0306304. We use the rule to prove polynomiality of the sums of Schubert coefficients with bounded number of inversions.
16 pages, to appear in Algebraic Combinatorics