English

Signed puzzles for Schubert coefficients

Combinatorics 2025-04-25 v1

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.

Keywords

Cite

@article{arxiv.2504.17734,
  title  = {Signed puzzles for Schubert coefficients},
  author = {Igor Pak and Colleen Robichaux},
  journal= {arXiv preprint arXiv:2504.17734},
  year   = {2025}
}

Comments

15 pages

R2 v1 2026-06-28T23:10:16.040Z