DOI10.1023/A:1010402200567zbMath0992.37063OpenAlexW21025452MaRDI QIDQ1347432
D. M. Scherbin, Alexander Yu. Orlov
Publication date: 3 June 2002
Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/a:1010402200567
On KP-integrable Hurwitz functions ⋮
2D Toda τ functions, weighted Hurwitz numbers and the Cayley graph: Determinant representation and recursion formula ⋮
Higher genera Catalan numbers and Hirota equations for extended nonlinear Schrödinger hierarchy ⋮
Toda equations and piecewise polynomiality for mixed double Hurwitz numbers ⋮
Spin Hurwitz theory and Miwa transform for the Schur Q-functions ⋮
Explicit closed algebraic formulas for Orlov-Scherbin \(n\)-point functions ⋮
Fermionic approach to weighted Hurwitz numbers and topological recursion ⋮
BKP and projective Hurwitz numbers ⋮
Spectral curves for hypergeometric Hurwitz numbers ⋮
Genus expansion of matrix models and \(\hbar\) expansion of KP hierarchy ⋮
On colored HOMFLY polynomials for twist knots ⋮
Toda hierarchies and their applications ⋮
Asymptotics of quantum weighted Hurwitz numbers ⋮
Weighted Hurwitz numbers and topological recursion: An overview ⋮
Commutative families in \(W_\infty\), integrable many-body systems and hypergeometric \(\tau\)-functions ⋮
A new solvable two-matrix model and the BKP tau function ⋮
Generating functions for weighted Hurwitz numbers ⋮
Spectral curves and \(\mathcal{W}\)-representations of matrix models ⋮
Integrals of tau functions: a round dance tau function and multimatrix integrals ⋮
\((q, t)\)-deformed (skew) Hurwitz \(\tau\)-functions ⋮
On KP-integrable skew Hurwitz \(\tau\)-functions and their \(\beta\)-deformations ⋮
Hurwitz numbers from Feynman diagrams ⋮
Simple maps, Hurwitz numbers, and topological recursion ⋮
The matrix model for dessins d'enfants ⋮
2D Yang–Mills Theory and Tau Functions ⋮
The KP hierarchy, branched covers, and triangulations ⋮
Weighted Hurwitz numbers and topological recursion ⋮
Around spin Hurwitz numbers ⋮
Hurwitz numbers and products of random matrices ⋮
Ward identities and combinatorics of rainbow tensor models ⋮
\(q\)-difference Kac-Schwarz operators in topological string theory ⋮
Soliton theory, symmetric functions and matrix integrals ⋮
Generalisations of the Harer-Zagier recursion for 1-point functions ⋮
Constellations and \(\tau\)-functions for rationally weighted Hurwitz numbers ⋮
Rationally weighted Hurwitz numbers, Meijer G-functions and matrix integrals ⋮
Entanglement content of quantum particle excitations. II: Disconnected regions and logarithmic negativity ⋮
Matching branches of a nonperturbative conformal block at its singularity divisor ⋮
Generating weighted Hurwitz numbers ⋮
Notes about the KP/BKP correspondence ⋮
\(W\)-representations of the fermionic matrix and Aristotelian tensor models ⋮
Quantum Hurwitz numbers and Macdonald polynomials ⋮
Hypergeometric functions as infinite-soliton tau functions ⋮
Simple recurrence formulas to count maps on orientable surfaces ⋮
Combinatorial and algebraic enumeration: a survey of the work of Ian P. Goulden and David M. Jackson ⋮
Matrix model generating function for quantum weighted Hurwitz numbers ⋮
2D Toda \(\tau\)-functions as combinatorial generating functions ⋮
A matrix model for hypergeometric Hurwitz numbers ⋮
Hypergeometric \(\tau\)-functions, Hurwitz numbers and enumeration of paths ⋮
Grothendieck’s dessins d’enfants in a web of dualities. III
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