Cover Image

On $\mathbb N$-Coefficient Binomial Polynomiality of Hurwitz Numbers and Generalized Dessin Counting

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Wang, Zhiyuan, Yang, Chenglang
Format:	Preprint
Published:	2024
Subjects:	Combinatorics Mathematical Physics Representation Theory Exactly Solvable and Integrable Systems
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

The structures of simple Hurwitz numbers and monotone Hurwitz numbers with varying genus
by: Yang, Chenglang
Published: (2025)

Action of $W$-type operators on Schur functions and Schur Q-functions
by: Liu, Xiaobo, et al.
Published: (2022)

Kac-Schwarz Operators of Type $B$, Quantum Spectral Curves, and Spin Hurwitz Numbers
by: Ji, Ce, et al.
Published: (2022)

BKP-Affine Coordinates and Emergent Geometry of Generalized Brézin-Gross-Witten Tau-Functions
by: Wang, Zhiyuan, et al.
Published: (2023)

BC Toda chain I: reflection operator and eigenfunctions
by: Belousov, N., et al.
Published: (2026)

BC Toda chain II: symmetries. Dual picture
by: Belousov, N., et al.
Published: (2026)

Integrable deformations of cluster maps of type $D_{2N}$
by: Kim, Wookyung
Published: (2025)

On enumeration of $l$-hypermaps
by: Huang, Zhengfei, et al.
Published: (2025)

Reflection operator and hypergeometry I: $SL(2, \mathbb{R})$ spin chain
by: Antonenko, P., et al.
Published: (2024)

Reflection operator and hypergeometry II: $SL(2, \mathbb{C})$ spin chain
by: Antonenko, P., et al.
Published: (2024)

Planar networks and simple Lie groups beyond type A
by: Izosimov, Anton
Published: (2023)

On a Proof of the ADKMV Conjecture -- $3$-KP Integrability of the Topological Vertex
by: Wang, Zhiyuan, et al.
Published: (2024)

Genus zero Whitham hierarchy via Hurwitz--Frobenius manifolds
by: Basalaev, Alexey
Published: (2025)

Ruijsenaars wavefunctions as modular group matrix coefficients
by: Di Francesco, Philippe, et al.
Published: (2024)

Zhelobenko-Stern formulas and $B_n$ Toda wave functions
by: Galiullin, Artur, et al.
Published: (2024)

Non-crossing permutations for the KP solitons under the Gel'fand-Dickey reductions and the vertex operators
by: Huang, Shilong, et al.
Published: (2024)

New cluster algebras from old: integrability beyond Zamolodchikov periodicity
by: Hone, Andrew N. W., et al.
Published: (2024)

On trilinear and quadrilinear equations associated with the lattice Gel'fand-Dikii hierarchy
by: van der Kamp, P. H., et al.
Published: (2024)

Integrable systems and cluster algebras
by: Gekhtman, Michael, et al.
Published: (2024)

Soliton cellular automata for the affine general linear Lie superalgebra
by: Ryan, Mitchell, et al.
Published: (2022)

Birational Weyl group actions and q-Painleve equations via mutation combinatorics in cluster algebras
by: Masuda, Tetsu, et al.
Published: (2023)

Drinfeld-Sokolov Hierarchies, Tau Functions, and Generalized Schur Polynomials
by: Cafasso, Mattia, et al.
Published: (2017)

Total partition function with fermionic number fluxes of local toric Calabi--Yau threefold and KP integrability
by: Wang, Zhiyuan, et al.
Published: (2025)

The bilinear fermionic form for KP and BKP hierarchies
by: Guo, Shuai, et al.
Published: (2025)

Counting Bethe States in Twisted Spin Chains
by: Shu, Hongfei, et al.
Published: (2024)

Complex crystallographic reflection groups and Seiberg-Witten integrable systems: rank 1 case
by: Argyres, Philip C., et al.
Published: (2023)

Calogero-Sutherland hyperbolic system and Heckman-Opdam $\mathfrak{gl}_n$ hypergeometric function
by: Belousov, N., et al.
Published: (2025)

Generation of multi-component super integrable hierarchy associated with higher-dimensional Lie superalgebra spo(2N,2) and osp(2N,2)
by: Wang, Haifeng, et al.
Published: (2024)

Discrete Painlevé equations and pencils of quadrics in $\mathbb P^3$
by: Alonso, Jaume, et al.
Published: (2024)

On uniform large genus asymptotics of Witten's intersection numbers
by: Guo, Jindong, et al.
Published: (2026)

Generalized pentagram maps via Q-nets and refactorization mappings
by: Wang, Bao
Published: (2024)

Combinatorics and large genus asymptotics of the Brézin--Gross--Witten numbers
by: Guo, Jindong, et al.
Published: (2024)

Classical $N$-Reflection Equation and Gaudin Models
by: Caudrelier, Vincent, et al.
Published: (2018)

Exact soliton solutions and long-time asymptotics of the Yajima-Oikawa equation via Riemann-Hilbert approach
by: Wang, Deng-Shan, et al.
Published: (2025)

Long-time behaviors of the two-component nonlinear Klein-Gordon equation: higher-order asymptotics
by: Wang, Deng-Shan, et al.
Published: (2025)

Soliton Surfaces and the Geometry of Integrable Deformations of the $\mathbb{CP}^{N-1}$ Model
by: Ferko, Christian, et al.
Published: (2025)

Surface energy and elementary excitations of the XYZ spin chain with integrable open boundary fields
by: Xin, Zhirong, et al.
Published: (2024)

Newell-Whitehead-Segel Equation: An Exact, Generalized Solution
by: Cundin, Luisiana
Published: (2024)

The Quasi-Integrability of a Generalized Camassa-Holm Equation
by: Guo, Mingyue, et al.
Published: (2024)

KP solitons and the Schottky uniformization
by: Ichikawa, Takashi, et al.
Published: (2025)