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๐”Ÿ-Hurwitz numbers from refined topological recursion

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dc.contributor.authorChidambaram, Nitin Kumar
dc.contributor.authorDoล‚ฤ™ga, Maciej
dc.contributor.authorOsuga, Kento
dc.contributor.funderEuropean Research Council (ERC)
dc.contributor.funderAgencia Estatal de Investigaciรณn (Espaรฑa)
dc.date.accessioned2026-03-17T09:37:35Z
dc.date.available2026-03-17T09:37:35Z
dc.date.issued2026-03-14
dc.descriptionThis is the accepted manuscript of the article. The registered version of this article, first published in โ€œMathematische Annalen, 394, article103", is available online at the publisher's website: https://doi.org/10.1007/s00208-026-03418-4
dc.descriptionEste es el manuscrito aceptado del artรญculo. La versiรณn registrada de este artรญculo, publicado por primera vez en โ€œMathematische Annalen, 394, artรญculo 103", estรก disponible en lรญnea en el sitio web del editor: https://doi.org/10.1007/s00208-026-03418-4
dc.description.abstractWe prove that single ๐บ-weighted ๐”Ÿ-Hurwitz numbers with internal faces are computed by refined topological recursion on a rational spectral curve, for certain rational weights ๐บ. Consequently, the ๐”Ÿ-Hurwitz generating function analytically continues to a rational curve. In particular, our results cover the cases of ๐”Ÿ-monotone Hurwitz numbers, and the enumeration of maps and bipartite maps (with internal faces) on non-oriented surfaces. As an application, we prove that the correlators of the Gaussian, Jacobi and Laguerre ๐›ฝ-ensembles are computed by refined topological recursion.en
dc.description.provenanceMade available in DSpace on 2026-03-17T09:37:35Z (GMT). No. of bitstreams: 1 Chidambaram_NitinKumar_bHurwitz_RTR_NITIN KUMAR CHIDAMBA.pdf: 826512 bytes, checksum: 5619f2404a789c5f06661b009a0d01c1 (MD5) Previous issue date: 2026-03-14en
dc.description.sponsorshipNKC acknowledges the support of the ERC Starting Grant 948885, and the Royal Society University Research Fellowship. This research was funded in whole or in part by Narodowe Centrum Nauki, grant 2021/42/E/ST1/00162. KO is supported by JSPS KAKENHI Grant number 22KJ0715 and 23K12968 (also in part by 21H04994 and 24K00525). This work is part of grant RYC2023-042878-I, funded by MCIN/AEI/10.13039/501100011033 and by the European Social Fund Plus (FSE+).
dc.description.versionversiรณn final
dc.identifier.citationChidambaram, N. K., Doล‚ฤ™ga, M. & Osuga, K. (2026). ๐”Ÿ-Hurwitz numbers from refined topological recursion. Mathematische Annalen, 394, artรญculo 103. https://doi.org/10.1007/s00208-026-03418-4
dc.identifier.doihttps://doi.org/10.1007/s00208-026-03418-4
dc.identifier.eissn1432-1807
dc.identifier.issn0025-5831
dc.identifier.urihttps://hdl.handle.net/20.500.14468/32135
dc.journal.titleMathematische Annalen
dc.journal.volume394
dc.language.isoen
dc.publisherSpringer
dc.relation.centerFacultad de Ciencias
dc.relation.departmentMatemรกticas Fundamentales
dc.relation.projectidinfo:eu-repo/grantAgreement/AEI/ Ayudas Ramรณn y Cajal aรฑo 2023, Programa Estatal para Desarrollar, Atraer y Retener Talento, en el marco del Plan Estatal de Investigaciรณn Cientรญfica, Tรฉcnica y de Innovaciรณn 2021-2023/RYC2023-042878-I
dc.rightsinfo:eu-repo/semantics/embargoedAccess
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/deed.es
dc.subject12 Matemรกticas
dc.title๐”Ÿ-Hurwitz numbers from refined topological recursionen
dc.typeartรญculoes
dc.typejournal articleen
dspace.entity.typePublication
relation.isAuthorOfPublicationb1a821aa-e531-493d-8071-0300aedc2433
relation.isAuthorOfPublication.latestForDiscoveryb1a821aa-e531-493d-8071-0300aedc2433
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