166 citations · 956 across the 33 of their papers we have counts for
34 papers
Geometry of Logarithmic Topological Recursion: Dilaton Equations, Free Energies and Variational Formulas
Alexander Hock, Olivier Marchal, Nicolas Orantin
One of the most important applications of topological recursion concerns spectral curves for which the functions defining the spectral curve are allowed to have logarithmic…
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…
Resurgence of Tritronquées Solutions of the Deformed Painlevé I Equation
Mohamad Alameddine, Olivier Marchal, Nikita Nikolaev +1
We prove that the formal -power series solution of the deformed Painlevé I equation is resurgent, which means it is generically Borel summable and its Borel transform admits…
Hamiltonian representation of isomonodromic deformations of general rational connections on
Olivier Marchal, Nicolas Orantin, Mohamad Alameddine
In this paper, we construct the Hamiltonian systems attached to generic meromorphic connections with an arbitrary number of unramified poles of arbitr…
Quantization of classical spectral curves via topological recursion
Bertrand Eynard, Elba Garcia-Failde, Olivier Marchal +1
We prove that the topological recursion formalism can be used to quantize any generic classical spectral curve with smooth ramification points and simply ramified away from poles.…
Quantization of hyper-elliptic curves from isomonodromic systems and topological recursion
Olivier Marchal, Nicolas Orantin
We prove that the topological recursion formalism can be used to compute the WKB expansion of solutions of second order differential operators obtained by quantization of any hyper…