Simple maps, Hurwitz numbers, and topological recursion
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Publication:2216758
DOI10.1007/s00220-020-03867-1zbMath1457.37055arXiv1710.07851OpenAlexW3096794545MaRDI QIDQ2216758
Gaëtan Borot, Elba Garcia-Failde
Publication date: 17 December 2020
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1710.07851
Enumeration in graph theory (05C30) Planar graphs; geometric and topological aspects of graph theory (05C10) Random matrices (algebraic aspects) (15B52) Combinatorial dynamics (types of periodic orbits) (37E15) Symplectic field theory; contact homology (53D42) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)
Related Items (9)
Explicit closed algebraic formulas for Orlov-Scherbin \(n\)-point functions ⋮ Perturbative and geometric analysis of the quartic Kontsevich model ⋮ Double Hurwitz numbers: polynomiality, topological recursion and intersection theory ⋮ 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 ⋮ Nesting statistics in the \(O(n)\) loop model on random planar maps ⋮ Integer moments of complex Wishart matrices and Hurwitz numbers ⋮ Relating ordinary and fully simple maps via monotone Hurwitz numbers ⋮ From scalar fields on quantum spaces to blobbed topological recursion
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