A realization of poset associahedra

2023/01/26 by Andrew Sack, Sack, Andrew · 1 citation
Mathematics · #Advanced Combinatorial Mathematics #Advanced Topics in Algebra #Algebraic structures and combinatorial models

paper · pdf · doi:10.48550/arxiv.2301.11449

Abstract

Given any connected poset P, we give a simple realization of Galashin's poset associahedron \mathscrA(P) as a convex polytope in ℝ^P. The realization is inspired by the description of \mathscrA(P) as a compactification of the configuration space of order-preserving maps P → ℝ. In addition, we give an analogous realization for Galashin's affine poset cyclohedra.

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• Graphical configuration spaces, Contractads and Formality

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