About the x-y symmetry of the F_g algebraic invariants

Abstract

We complete the proof of the x-y symmetry of symplectic invariants of [EO]. We recall the main steps of the proof of [EO2], and we include the integration constants absent in [EO2].

8 pages, latex, reference added, misprints corrected

References in corpus (2)

• Topological expansion of mixed correlations in the hermitian 2 Matrix Model and x-y symmetry of the F_g invariants
• A generalized topological recursion for arbitrary ramification

Cited by in corpus (10)

• Orbifolds and Exact Solutions of Strongly-Coupled Matrix Models
• A short overview of the "Topological recursion"
• A matrix model for the topological string II: The spectral curve and mirror geometry
• Laplace transform of the $x-y$ symplectic transformation formula in Topological Recursion
• Generalised ordinary vs fully simple duality for $n$-point functions and a proof of the Borot--Garcia-Failde conjecture
• Note on a duality of topological branes
• $x-y$ duality in Topological Recursion for exponential variables via Quantum Dilogarithm
• Voros Coefficients and the Topological Recursion for a Class of the Hypergeometric Differential Equations associated with the Degeneration of the 2-dimensional Garnier System
• Duality Constraints on String Theory: Instantons and spectral networks
• Quantum chaos in 2D gravity