Séminaire Lotharingien de Combinatoire, 89B.24 (2023), 12 pp.

Andrew Sack

A Realization of Poset Associahedra

Abstract. Given any connected poset P we give a simple realization of Galashin's poset associahedron A(P) as a convex polytope in R^P. The realization is inspired by the description of A(P) as a compactification of the configuration space of order-preserving maps P → R. In addition, we discuss several combinatorially interesting examples of poset associahedra.

Received: November 15, 2022. Accepted: February 20, 2023. Final version: April 1, 2023.

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