96 citations · 272 across the 9 of their papers we have counts for
10 papers
Topological Recursion, explicit ABCD tensors and implementation
Bertrand Eynard
We provide explicit expressions of ABCD tensors for the most classical classes of spectral curves. And we discuss algorithmic implementation of Topological Recursion.
Abstract loop equations, topological recursion, and applications
Gaëtan Borot, Bertrand Eynard, Nicolas Orantin
We formulate a notion of abstract loop equations, and show that their solution is provided by a topological recursion under some assumptions, in particular the result takes a unive…
Recursion between Mumford volumes of moduli spaces
Bertrand Eynard
We propose a new proof, as well as a generalization of Mirzakhani's recursion for volumes of moduli spaces. We interpret those recursion relations in terms of expectation values in…
Invariants of algebraic curves and topological expansion
Bertrand Eynard, Nicolas Orantin
For any arbitrary algebraic curve, we define an infinite sequence of invariants. We study their properties, in particular their variation under a variation of the curve, and their…
The 2-matrix model, biorthogonal polynomials, Riemann-Hilbert problem, and algebraic geometry
Bertrand Eynard
This preprint is the introduction of my habilitation thesis for Paris7 university. It is a sumary of a collection of works on the 2 matrix model. In an introduction, 3 different an…
correction to free energy in hermitian two-matrix model
B. Eynard, A. Kokotov, D. Korotkin
Using the loop equations we find an explicit expression for genus 1 correction in hermitian two-matrix model in terms of holomorphic objects associated to spectral curve arising in…