Relating ordinary and fully simple maps via monotone Hurwitz numbers

zbMath1430.05004arXiv1904.02267MaRDI QIDQ2323820

Elba Garcia-Failde, Séverin Charbonnier, Gaëtan Borot, Norman Do

Publication date: 12 September 2019

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.02267

zbMATH Keywords

mapsdessin d'enfantsmonotone Hurwitz numbershypermapsstuffed mapsfully simple maps

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Representations of finite symmetric groups (20C30)

Related Items (5)

Complete solution of the LSZ model via topological recursion ⋮ Generalised ordinary vs fully simple duality for \(n\)-point functions and a proof of the Borot-Garcia-Failde conjecture ⋮ Laguerre ensemble: correlators, Hurwitz numbers and Hodge integrals ⋮ The joint distribution of the marginals of multipartite random quantum states ⋮ Matrix resolvent and the discrete KdV hierarchy

Cites Work

• Unnamed Item
• Formal multidimensional integrals, stuffed maps, and topological recursion
• Invariants of algebraic curves and topological expansion
• A new construction of Young's seminormal representation of the symmetric groups
• Graphs on surfaces and their applications. Appendix by Don B. Zagier
• Symmetric polynomials and the center of the symmetric group ring
• Simple maps, Hurwitz numbers, and topological recursion
• Second order freeness and fluctuations of random matrices. III: Higher order freeness and free cumulants
• Topological expansion of mixed correlations in the Hermitian 2-matrix model andx–ysymmetry of theF_galgebraic invariants

This page was built for publication: Relating ordinary and fully simple maps via monotone Hurwitz numbers