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A realization of poset associahedra
Published Web Location
https://doi.org/10.5070/C65265407Abstract
Given any connected poset \(P\), we provide a simple realization of Galashin's \(P\)-associahedron \(\mathscr A(P)\) as a convex polytope in \(\mathbb R^P.\) This realization is inspired by the description of \(\mathscr A(P)\) as a compactification of the configuration space of order-preserving maps \(P \to \mathbb{R}.\) Additionally, we provide an analogous realization for Galashin's affine poset cyclohedra.
Mathematics Subject Classifications: 52B11, 06A07
Keywords: Poset, associahedron, cyclohedron, realization, configuration space, compactification