Séminaire Lotharingien de Combinatoire, 93B.102 (2025), 12 pp.

Portia X. Anderson

Commutative Properties of Schubert Puzzles with Convex Polygonal Boundary Shapes

Abstract. We generalize classical triangular Schubert puzzles to puzzles with convex polygonal boundary. We give these puzzles a geometric Schubert calculus interpretation and derive novel combinatorial commutativity statements, using both geometric and combinatorial arguments, for puzzles with four, five, and six sides, having various types of symmetry in their boundary conditions.


Received: November 15, 2024. Accepted: February 15, 2025. Final version: April 1, 2025.

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