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math.AG2025
Spectral networks for polynomial cubic differentials
Omar Kidwai, Guillaume Tahar
We study cubic differentials and their spectral networks on Riemann surfaces, focusing on the polynomial case on the Riemann sphere. We introduce the notion of spectral core as the…
math.AG2023
Refined BPS structures and topological recursion - the Weber and Whittaker curves
Omar Kidwai, Kento Osuga
We study properties of the recently established refined topological recursion for some simple spectral curves associated to quadratic differentials. We prove explicit formulas for…
math.AG2022★ 8 cited
Quantum curves from refined topological recursion: the genus 0 case
Omar Kidwai, Kento Osuga
We formulate geometrically (without reference to physical models) a refined topological recursion applicable to genus zero curves of degree two, inspired by Chekhov-Eynard and Marc…