Work

Topological recursion for fully simple maps from ciliated maps

Year: 2024

Type: article

Abstract: We solve a conjecture from the first and third authors 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 (building on a result from Belliard, Eynard, and the second and third authors).Mathematics Subject Classifications: 05A15, 05A19, 46L54Keywords: Maps, fully simple maps, enumeration, topological recursion

Source: Combinatorial Theory

DOI: 10.5070/c64264250

Authors: Gaëtan Borot, Séverin Charbonnier, Elba Garcia-Failde

Institutions: Humboldt-Universität zu Berlin, Max Planck Institute for Mathematics, Institut de Mathématiques de Jussieu-Paris Rive Gauche, Sorbonne Université

Language: English

Topic: Advanced Combinatorial Mathematics

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond