B. Eynard

activity

20012019

most citedHolomorphic anomaly and matrix models

116 citations · 767 across the 24 of their papers we have counts for

collaborators

Showing 2019Show all

4 papers · 1 filter

math-ph2019★ 3 cited

Topological Recursion, Airy structures in the space of cycles

B Eynard

Topological recursion associates to a spectral curve, a sequence of meromorphic differential forms. A tangent space to the "moduli space" of spectral curves (its space of deformati…

math-ph2019

Solutions of loop equations are random matrices

B. Eynard

For a given polynomial $V (x) \in C [x]$ , a random matrix eigenvalues measure is a measure $\prod_{1 \leq i < j \leq N} (x_{i} - x_{j})^{2} \prod_{i = 1}^{N} e^{- V (x_{i})} d x_{i}$ on $γ^{N}$ . Hermiti…

math-ph2019

From the quantum geometry of Fuchsian systems to conformal blocks of W-algebras

Raphaël Belliard, Bertrand Eynard

We consider the moduli space of holomorphic principal bundles for reductive Lie groups over Riemann surfaces (possibly with boundaries) and equipped with meromorphic connections. W…

math-ph2019★ 4 cited

Large genus behavior of topological recursion

Bertrand Eynard

We show that for a rather generic set of regular spectral curves, the Topological-Recursion invariants F_g grow at most like $O ((β g)! r^{- g})$ with some $r > 0$ and $β \leq 5$ .