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.
@article{arxiv.2106.09002,
title = {Topological recursion for fully simple maps from ciliated maps},
author = {Gaëtan Borot and Séverin Charbonnier and Elba Garcia-Failde},
journal= {arXiv preprint arXiv:2106.09002},
year = {2024}
}