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Fecha
2026-03-14
Derechos de acceso
info:eu-repo/semantics/embargoedAccess
Tรญtulo de la revista
ISSN de la revista
Tรญtulo del volumen
Editorial
Springer
Citas
Resumen
We prove that single ๐บ-weighted ๐-Hurwitz numbers with internal faces are computed by refined topological recursion on a rational spectral curve, for certain rational weights ๐บ. Consequently, the ๐-Hurwitz generating function analytically continues to a rational curve. In particular, our results cover the cases of ๐-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 ๐ฝ-ensembles are computed by refined topological recursion.
Descripciรณn
This is the accepted manuscript of the article. The registered version of this article, first published in โMathematische Annalen, 394, article103", is available online at the publisher's website: https://doi.org/10.1007/s00208-026-03418-4
Este es el manuscrito aceptado del artรญculo. La versiรณn registrada de este artรญculo, publicado por primera vez en โMathematische Annalen, 394, artรญculo 103", estรก disponible en lรญnea en el sitio web del editor: https://doi.org/10.1007/s00208-026-03418-4
Este es el manuscrito aceptado del artรญculo. La versiรณn registrada de este artรญculo, publicado por primera vez en โMathematische Annalen, 394, artรญculo 103", estรก disponible en lรญnea en el sitio web del editor: https://doi.org/10.1007/s00208-026-03418-4
Categorรญas UNESCO
Palabras clave
Citaciรณn
Chidambaram, N. K., Doลฤga, M. & Osuga, K. (2026). ๐-Hurwitz numbers from refined topological recursion. Mathematische Annalen, 394, artรญculo 103. https://doi.org/10.1007/s00208-026-03418-4
Centro
Facultad de Ciencias
Departamento
Matemรกticas Fundamentales