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We use the theory of $x-y$ duality to propose a new definition / construction for the correlation differentials of topological recursion; we call it "generalized topological recursion".
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Vincent Bouchard and Bertrand Eynard · 2013
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P. Dunin-Barkowski, N. Orantin, S. Shadrin and L. Spitz · 2014
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B. Eynard · 2014
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“Abstract loop equations, topological recursion and new applications”
Ga“”etan Borot, Bertrand Eynard and Nicolas Orantin · 2015
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“Blobbed topological recursion: properties and applications”
Ga“”etan Borot and Sergey Shadrin · 2017
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Danilo Lewanski, Alexandr Popolitov, Sergey Shadrin and Dimitri Zvonkine · 2017
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Boris Bychkov, Petr Dunin-Barkowski, Maxim Kazarian and Sergey Shadrin · 2022
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“A new cohomology class on the moduli space of curves”
Paul Norbury · 2023
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Alexander Alexandrov, Boris Bychkov, Petr Dunin-Barkowski, Maxim Kazarian and Sergey Shadrin · 2023
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Gaëtan Borot, Séverin Charbonnier, Elba Garcia-Failde, Felix Leid and Sergey Shadrin · 2023
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“Generalised ordinary vs fully simple duality for n n -point functions and a proof of the Borot-Garcia-Failde conjecture”
Boris Bychkov, Petr Dunin-Barkowski, Maxim Kazarian and Sergey Shadrin · 2023
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Nitin Chidambaram, Elba Garcia-Failde and Alessandro Giacchetto · 2023
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“A simple formula for the x x - y y symplectic transformation in topological recursion”
Alexander Hock · 2023
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Alexander Hock · 2023
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