Séminaire Lotharingien de Combinatoire, 95B.43 (2026), 12 pp.
Oliver Clarke, Akihiro Higashitani and Francesca Zaffalon
Combinatorial Mutation Equivalence of Restricted Chain-Order Polytopes
Abstract.
We study restricted chain-order polytopes associated with Young diagrams via combinatorial mutations.
Each such polytope is realized as the intersection of a chain-order polytope with a certain hyperplane.
For a fixed Young diagram, we demonstrate that all restricted chain-order polytopes are connected via a sequence of combinatorial mutations.
As the phenomenon of period collapse remains invariant under these combinatorial mutations, our results yield a wide class of rational polytopes having period collapse.
Received: November 15, 2025.
Accepted: February 15, 2026.
Final version: April 1, 2026.
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