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{
    "pk": 64817,
    "title": "Refined Catalan and Narayana cyclic sieving",
    "subtitle": null,
    "abstract": "We prove several new instances of the cyclic sieving phenomenon (CSP) on Catalan objects of type $A$ and type $B$. Moreover, we refine many of the known instances of the CSP on Catalan objects. For example, we consider triangulations refined by the number of \"ears\", non-crossing matchings with a fixed number of short edges, and non-crossing configurations with a fixed number of loops and edges.\nKeywords: Dyck paths, cyclic sieving, Narayana numbers, major index, q-analog.\nMathematics Subject Classifications: 05E18, 05A19, 05A30",
    "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": [],
    "section": "Research Articles",
    "is_remote": true,
    "remote_url": "https://escholarship.org/uc/item/20d9s4hn",
    "frozenauthors": [
        {
            "first_name": "Per",
            "middle_name": "",
            "last_name": "Alexandersson",
            "name_suffix": "",
            "institution": "Department of Mathematics, Stockholm University, SE-106 91 Stockholm, Sweden",
            "department": ""
        },
        {
            "first_name": "Svante",
            "middle_name": "",
            "last_name": "Linusson",
            "name_suffix": "",
            "institution": "Department of Mathematics, KTH Royal Institute of Technology, SE-100 44 Stockholm, Sweden",
            "department": ""
        },
        {
            "first_name": "Samu",
            "middle_name": "",
            "last_name": "Potka",
            "name_suffix": "",
            "institution": "Department of Mathematics, KTH Royal Institute of Technology, SE-100 44 Stockholm, Sweden",
            "department": ""
        },
        {
            "first_name": "Joakim",
            "middle_name": "",
            "last_name": "Uhlin",
            "name_suffix": "",
            "institution": "Department of Mathematics, Stockholm University, SE-106 91 Stockholm, Sweden",
            "department": ""
        }
    ],
    "date_submitted": "2021-11-30T16:39:27Z",
    "date_accepted": "2021-11-30T16:39:27Z",
    "date_published": "2021-12-15T08:00:00Z",
    "render_galley": null,
    "galleys": [
        {
            "label": "",
            "type": "pdf",
            "path": "https://journalpub.escholarship.org/combinatorial_theory/article/64817/galley/49627/download/"
        }
    ]
}