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math-ph2026
Topological Recursion on Spectral Curves with Infinite Ramification Loci
Quinten Weller
Recently in the physics literature there have been a small, but growing, number of papers that have applied the Eynard-Orantin topological recursion procedure to spectral curves wi…
math-ph2024
The Laplace Transform and Quantum Curves
Quinten Weller
A Laplace transform that maps the topological recursion (TR) wavefunction to its - swap dual is defined. This transform is then applied to the construction of quantum curves.…
math-ph2023
Topological recursion on transalgebraic spectral curves and Atlantes Hurwitz numbers
Vincent Bouchard, Reinier Kramer, Quinten Weller
Given a spectral curve with exponential singularities (which we call a "transalgebraic spectral curve"), we extend the definition of topological recursion to include contributions…