Generating functions for weighted Hurwitz numbers
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Publication:5357531
DOI10.1063/1.4996574zbMath1369.05013arXiv1408.6766OpenAlexW3105619572MaRDI QIDQ5357531
J. Harnad, Mathieu Guay-Paquet
Publication date: 11 September 2017
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1408.6766
Exact enumeration problems, generating functions (05A15) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Coverings of curves, fundamental group (14H30) Relationships between algebraic curves and physics (14H81) Time-dependent Schrödinger equations and Dirac equations (35Q41)
Related Items (30)
2D Toda τ functions, weighted Hurwitz numbers and the Cayley graph: Determinant representation and recursion formula ⋮ Integrality in the Matching-Jack conjecture and the Farahat-Higman algebra ⋮ Fermionic approach to weighted Hurwitz numbers and topological recursion ⋮ The Harer-Zagier recursion for an irregular spectral curve ⋮ BKP and projective Hurwitz numbers ⋮ Spectral curves for hypergeometric Hurwitz numbers ⋮ Toda hierarchies and their applications ⋮ Asymptotics of quantum weighted Hurwitz numbers ⋮ Polynomiality of monotone Hurwitz numbers in higher genera ⋮ Weighted Hurwitz numbers and topological recursion: An overview ⋮ Non-orientable branched coverings, \(b\)-Hurwitz numbers, and positivity for multiparametric Jack expansions (extended abstract) ⋮ Elements of spin Hurwitz theory: closed algebraic formulas, blobbed topological recursion, and a proof of the Giacchetto-Kramer-Lewański conjecture ⋮ Hurwitz numbers from Feynman diagrams ⋮ Modular functors, cohomological field theories, and topological recursion ⋮ Weighted Hurwitz numbers and topological recursion ⋮ \(q\)-difference Kac-Schwarz operators in topological string theory ⋮ A monodromy graph approach to the piecewise polynomiality of simple, monotone and Grothendieck dessins d'enfants double Hurwitz numbers ⋮ Generalisations of the Harer-Zagier recursion for 1-point functions ⋮ Constellations and \(\tau\)-functions for rationally weighted Hurwitz numbers ⋮ Melting lollipop chromatic quasisymmetric functions and Schur expansion of unicellular LLT polynomials ⋮ Rationally weighted Hurwitz numbers, Meijer G-functions and matrix integrals ⋮ Generating weighted Hurwitz numbers ⋮ Refining the bijections among ascent sequences, (2+2)-free posets, integer matrices and pattern-avoiding permutations ⋮ Quantum Hurwitz numbers and Macdonald polynomials ⋮ Non-orientable branched coverings, \(b\)-Hurwitz numbers, and positivity for multiparametric Jack expansions ⋮ Weighted Hurwitz Numbers, "Equation missing" -Functions, and Matrix Integrals ⋮ Matrix model generating function for quantum weighted Hurwitz numbers ⋮ 2D Toda \(\tau\)-functions as combinatorial generating functions ⋮ A matrix model for hypergeometric Hurwitz numbers ⋮ Grothendieck’s dessins d’enfants in a web of dualities. III
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