4 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…
Hamiltonian representation of isomonodromic deformations of general rational connections on
Olivier Marchal, Nicolas Orantin, Mohamad Alameddine
In this paper, we study and build the Hamiltonian system attached to any meromorphic connection with an arbitrary number of non-ramified poles of arbi…
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 admit…