Combinatorics of Loop Equations for Branched Covers of Sphere

DOI10.1093/imrn/rnx047zbMath1408.14114arXiv1412.1698OpenAlexW3103085567MaRDI QIDQ4619444

Nicolas Orantin, Alexander Popolitov, P. I. Dunin-Barkowski, Sergey Shadrin

Publication date: 6 February 2019

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.1698

Mathematics Subject Classification ID

Low-dimensional topology of special (e.g., branched) coverings (57M12) Relationships between algebraic curves and physics (14H81) Dessins d'enfants theory (14H57)

Related Items (18)

Quantization of Harer-Zagier formulas ⋮ Higher genera Catalan numbers and Hirota equations for extended nonlinear Schrödinger hierarchy ⋮ Ramifications of Hurwitz theory, KP integrability and quantum curves ⋮ Triply mixed coverings of arbitrary base curves: quasimodularity, quantum curves and a mysterious topological recursion ⋮ Double Hurwitz numbers: polynomiality, topological recursion and intersection theory ⋮ Generalised ordinary vs fully simple duality for \(n\)-point functions and a proof of the Borot-Garcia-Failde conjecture ⋮ Wall-crossing and recursion formulae for tropical Jucys covers ⋮ Counting curves on surfaces ⋮ Enumeration of hypermaps of a given genus ⋮ Simple maps, Hurwitz numbers, and topological recursion ⋮ KP integrability of triple Hodge integrals. II: Generalized Kontsevich matrix model ⋮ Towards the topological recursion for double Hurwitz numbers ⋮ Topological recursion and Givental’s formalism: Spectral curves for Gromov-Witten theories ⋮ Combinatorics of Bousquet-Mélou-Schaeffer numbers in the light of topological recursion ⋮ DUBROVIN’S SUPERPOTENTIAL AS A GLOBAL SPECTRAL CURVE ⋮ Weighted Hurwitz numbers and topological recursion ⋮ Quasi-polynomiality of monotone orbifold Hurwitz numbers and Grothendieck's dessins d'enfants ⋮ Generalisations of the Harer-Zagier recursion for 1-point functions

This page was built for publication: Combinatorics of Loop Equations for Branched Covers of Sphere