paper

Topological recursion, symplectic duality, and generalized fully simple maps

arXiv:2304.11687 · doi:10.1016/j.geomphys.2024.105329

Abstract

For a given spectral curve, we construct a family of symplectic dual spectral curves for which we prove an explicit formula expressing the -point functions produced by the topological recursion on these curves via the -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

Topological recursion, symplectic duality, and generalized fully simple maps · wovepaper