Topological recursion for fully simple maps from ciliated maps

Abstract

Ordinary maps satisfy topological recursion for a certain spectral curve $(x,y)$. We solve a conjecture from arXiv:1710.07851 that claims that fully simple maps, which are maps with non self-intersecting disjoint boundaries, satisfy topological recursion for the exchanged spectral curve $(y,x)$, making use of the topological recursion for ciliated maps arXiv:2105.08035.

22 pages

Cited by in corpus (2)

• KP integrability through the $x-y$ swap relation
• Symplectic duality for topological recursion