activity
20172025
most citedQuantum curves from refined topological recursion: the genus 0 case

8 citations · 17 across the 6 of their papers we have counts for

collaborators

6 papers

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…

math-ph2021★ 6 cited

Topological recursion and uncoupled BPS structures II: Voros symbols and the -function

Kohei Iwaki, Omar Kidwai

We continue our study of the correspondence between BPS structures and topological recursion in the uncoupled case, this time from the viewpoint of quantum curves. For spectral cur…

math-ph2020★ 2 cited

Topological recursion and uncoupled BPS structures I: BPS spectrum and free energies

Kohei Iwaki, Omar Kidwai

For the hypergeometric spectral curve and its confluent degenerations (spectral curves of "hypergeometric type"), we obtain a simple formula expressing the topological recursion fr…

hep-th2017★ 1 cited

Higher length-twist coordinates, generalized Heun's opers, and twisted superpotentials

Lotte Hollands, Omar Kidwai

In this paper we study a proposal of Nekrasov, Rosly and Shatashvili that describes the effective twisted superpotential obtained from a class S theory geometrically as a generatin…