Chidambaram, Nitin KumarDołęga, MaciejOsuga, Kento2026-03-172026-03-172026-03-14Chidambaram, N. K., Dołęga, M. & Osuga, K. (2026). 𝔟-Hurwitz numbers from refined topological recursion. Mathematische Annalen, 394, artículo 103. https://doi.org/10.1007/s00208-026-03418-40025-5831https://doi.org/10.1007/s00208-026-03418-4https://hdl.handle.net/20.500.14468/32135This is the accepted manuscript of the article. The registered version of this article, first published in “Mathematische Annalen, 394, article103", is available online at the publisher's website: https://doi.org/10.1007/s00208-026-03418-4Este es el manuscrito aceptado del artículo. La versión registrada de este artículo, publicado por primera vez en “Mathematische Annalen, 394, artículo 103", está disponible en línea en el sitio web del editor: https://doi.org/10.1007/s00208-026-03418-4We prove that single 𝐺-weighted 𝔟-Hurwitz numbers with internal faces are computed by refined topological recursion on a rational spectral curve, for certain rational weights 𝐺. Consequently, the 𝔟-Hurwitz generating function analytically continues to a rational curve. In particular, our results cover the cases of 𝔟-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 𝛽-ensembles are computed by refined topological recursion.eninfo:eu-repo/semantics/embargoedAccess12 Matemáticasartículo1432-1807