$$\mathfrak {b}$$-Hurwitz numbers from refined topological recursion
Abstract
Abstract We prove that single G -weighted $$\mathfrak {b}$$ b -Hurwitz numbers with internal faces are computed by refined topological recursion on a rational spectral curve, for certain rational weights G . Consequently, the $$\mathfrak {b}$$ b -Hurwitz generating function analytically continues to a rational curve. In particular, our results cover the cases of $$\mathfrak {b}$$ 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 $$\beta $$ β -ensembles are computed by refined topological recursion.
Fields of Study & Subjects
Benford’s Law and Fraud Detection
Computability
Logic
AI Algorithms
Numerical Methods and Algorithms
Publication details
- Journal / source
- Mathematische Annalen
- Volume
- 394
- Issue
- 4
- Pages
- 103–103
- Publication date
- 14 March 2026
- Language
- EN