Topological recursion, symplectic duality, and generalized fully simple maps

Abstract

For a given spectral curve, we construct a family of symplectic dual spectral curves for which we prove an explicit formula expressing the $n$-point functions produced by the topological recursion on these curves via the $n$-point functions on the original curve. As a corollary, we prove topological recursion for the generalized fully simple maps generating functions.

17 pages; several clarifications and corrections

References in corpus (7)

• Hermitean matrix model free energy: Feynman graph technique for all genera
• Matrix eigenvalue model: Feynman graph technique for all genera
• Blobbed topological recursion: properties and applications
• Topological recursion for Kadomtsev-Petviashvili tau functions of hypergeometric type
• Explicit closed algebraic formulas for Orlov-Scherbin $n$-point functions
• Generalised ordinary vs fully simple duality for $n$-point functions and a proof of the Borot--Garcia-Failde conjecture
• Topological Recursion for the extended Ooguri-Vafa partition function of colored HOMFLY-PT polynomials of torus knots

Cited by in corpus (3)

• Degenerate and irregular topological recursion
• Taking limits in topological recursion
• Blobbed topological recursion from extended loop equations