Topological recursion for fully simple maps from ciliated maps

Fuente: arXiv
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Autores principales: Borot, Gaëtan, Charbonnier, Séverin, Garcia-Failde, Elba
Formato: Preprint
Publicado: 2021
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author Borot, Gaëtan
Charbonnier, Séverin
Garcia-Failde, Elba
author_facet Borot, Gaëtan
Charbonnier, Séverin
Garcia-Failde, Elba
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2106_09002
institution arXiv
publishDate 2021
record_format arxiv
spellingShingle Topological recursion for fully simple maps from ciliated maps
Borot, Gaëtan
Charbonnier, Séverin
Garcia-Failde, Elba
Combinatorics
Mathematical Physics
05A15, 05A19, 46L54
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.
title Topological recursion for fully simple maps from ciliated maps
topic Combinatorics
Mathematical Physics
05A15, 05A19, 46L54
url https://arxiv.org/abs/2106.09002