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{
    "pk": 64983,
    "title": "A realization of poset associahedra",
    "subtitle": null,
    "abstract": "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.\n \nMathematics Subject Classifications: 52B11, 06A07\n \nKeywords: Poset, associahedron, cyclohedron, realization, configuration space, compactification",
    "language": "en",
    "license": {
        "name": "Creative Commons Attribution 4.0",
        "short_name": "CC BY 4.0",
        "text": "Attribution — You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.\n\nNo additional restrictions — You may not apply legal terms or technological measures that legally restrict others from doing anything the license permits.",
        "url": "https://creativecommons.org/licenses/by/4.0"
    },
    "keywords": [
        {
            "word": "Poset"
        },
        {
            "word": "associahedron"
        },
        {
            "word": "cyclohedron"
        },
        {
            "word": "realization"
        },
        {
            "word": "configuration space"
        },
        {
            "word": "compactification"
        }
    ],
    "section": "Research Articles",
    "is_remote": true,
    "remote_url": "https://escholarship.org/uc/item/82p5w9vn",
    "frozenauthors": [
        {
            "first_name": "Andrew",
            "middle_name": "",
            "last_name": "Sack",
            "name_suffix": "",
            "institution": "Department of Mathematics, University of Michigan, Ann Arbor, MI, U.S.A.",
            "department": ""
        }
    ],
    "date_submitted": "2025-07-15T15:06:33Z",
    "date_accepted": "2025-07-15T15:06:33Z",
    "date_published": "2025-07-15T07:00:00Z",
    "render_galley": null,
    "galleys": [
        {
            "label": "",
            "type": "pdf",
            "path": "https://journalpub.escholarship.org/combinatorial_theory/article/64983/galley/49793/download/"
        }
    ]
}