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20162026
most citedLoop equations and a proof of Zvonkine's -ELSV formula

23 citations · 110 across the 18 of their papers we have counts for

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math-ph2025★ 1 cited

Superconformal topological recursion

Nezhla Aghaei, Reinier Kramer, Nicolas Orantin +1

We investigate a supersymmetric generalisation of topological recursion from two perspectives: algebraic and geometric. The algebraic side concerns a recursive structure encoded in…

math-ph2025

Highest weight vectors, shifted topological recursion and quantum curves

Raphaël Belliard, Vincent Bouchard, Reinier Kramer +1

We extend the theory of topological recursion by considering Airy structures whose partition functions are highest weight vectors of particular -algebra representation…

math-ph2023★ 1 cited

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…

math-ph2021

A new spin on Hurwitz theory and ELSV via theta characteristics

Alessandro Giacchetto, Reinier Kramer, Danilo Lewański

We study spin Hurwitz numbers, which count ramified covers of the Riemann sphere with a sign coming from a theta characteristic. These numbers are known to be related to Gromov-Wit…

math-ph2020★ 17 cited

Higher Airy structures and topological recursion for singular spectral curves

Gaëtan Borot, Reinier Kramer, Yannik Schüler

We give elements towards the classification of quantum Airy structures based on the -algebras at self-dual level based on twisted modules of the Heisenberg VOA…