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{ "pk": 64956, "title": "Topological recursion for fully simple maps from ciliated maps", "subtitle": null, "abstract": "We solve a conjecture from the first and third authors that claims that fully simple maps, which are maps with non self-intersecting disjoint boundaries, satisfy topological recursion for the exchanged spectral curve \\((y, x)\\), making use of the topological recursion for ciliated maps (building on a result from Belliard, Eynard, and the second and third authors).\n \nMathematics Subject Classifications: 05A15, 05A19, 46L54\n \nKeywords: Maps, fully simple maps, enumeration, topological recursion", "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": "Maps" }, { "word": "fully simple maps" }, { "word": "enumeration" }, { "word": "topological recursion" } ], "section": "Research Articles", "is_remote": true, "remote_url": "https://escholarship.org/uc/item/3mw8b0wk", "frozenauthors": [ { "first_name": "Gaëtan", "middle_name": "", "last_name": "Borot", "name_suffix": "", "institution": "Institut für Mathematik & Institut für Physik, Humboldt-Universität zu Berlin, Unter den Linden 6, 10099 Berlin, Germany", "department": "" }, { "first_name": "Séverin", "middle_name": "", "last_name": "Charbonnier", "name_suffix": "", "institution": "Max Planck Institut für Mathematik, Vivatsgasse 7, 53111 Bonn, Germany", "department": "" }, { "first_name": "Elba", "middle_name": "", "last_name": "Garcia-Failde", "name_suffix": "", "institution": "Institut de Mathématiques de Jussieu-Paris Rive Gauche, Sorbonne Université, 4 pace Jussieu, 75252 Paris Cedex 05, France", "department": "" } ], "date_submitted": "2024-09-27T10:58:36+02:00", "date_accepted": "2024-09-27T10:58:36+02:00", "date_published": "2024-09-30T09:00:00+02:00", "render_galley": null, "galleys": [ { "label": "", "type": "pdf", "path": "https://journalpub.escholarship.org/combinatorial_theory/article/64956/galley/49766/download/" } ] }