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Topological recursion for fully simple maps from ciliated maps (2106.09002v1)
Published 16 Jun 2021 in math.CO, math-ph, and math.MP
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.
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