Symmetry Integrability and Geometry-Methods and Applications

Article	Citations
The Generalized Cluster Complex: Refined Enumeration of Faces and Related Parking Spaces	21
Geometry of Gauged Skyrmions	12
On the Fourth-Order Lattice Gel'fand-Dikii Equations	8
Topology of Almost Complex Structures on Six-Manifolds	7
Connection Problem for an Extension of q-Hypergeometric Systems	7
Determinantal Formulas for Exceptional Orthogonal Polynomials	7
Nudged Elastic Bands and Lightly Bound Skyrmions	5
Differential Equations for Approximate Solutions of Painlevé Equations: Application to the Algebraic Solutions of the Painlevé-III $({\rm D}_7)$ Equation	5
On a Transformation of Triple $q$-Series and Rogers-Hecke Type Series	4
Identity between Restricted Cauchy Sums for the $q $-Whittaker and Skew Schur Polynomials	4
Adiabatic Limit, Theta Function, and Geometric Quantization	4
Twisted Fusion Products and Quantum Twisted $Q$-Systems	4
Resurgence of Refined Topological Strings and Dual Partition Functions	3
Polynomial Solutions Modulo $p^s$ of Differential KZ and Dynamical Equations	3
Twistors, Self-Duality, and Spin<sup>c</sup> Structures	3
The Morse-Smale Property of the Thurston Spine	3
Some Useful Operators on Differential Forms on Galilean and Carrollian Spacetimes	3
Symplectic Double Extensions for Restricted Quasi-Frobenius Lie (Super)Algebras	3
Module Categories of the Generic Virasoro VOA and Quantum Groups	3
Algebraic Structures on Typed Decorated Rooted Trees	3
Global Magni4icence, or: 4G Networks	2
Fermionic Basis in Conformal Field Theory and Thermodynamic Bethe Ansatz for Excited States II	2
Scaling Limits of Planar Symplectic Ensembles	2
Functional Equations Solving Initial-Value Problems of Complex Burgers-Type Equations for One-Dimensional Log-Gases	2
On Asymptotically Locally Hyperbolic Metrics with Negative Mass	2

Knots, Perturbative Series and Quantum Modularity	2
A Minimum Property for Cuboidal Lattice Sums	2
Strong Szegő Limit Theorems for Multi-Bordered, Framed, and Multi-Framed Toeplitz Determinants	2
A Riemann-Hilbert Approach to Skew-Orthogonal Polynomials of Symplectic Type	2
Non-Stationary Difference Equation and Affine Laumon Space II: Quantum Knizhnik-Zamolodchikov Equation	2
Tuning Co- and Contra-Variant Transforms: the Heisenberg Group Illustration	2
Seven Concepts Attributed to Siméon-Denis Poisson	2
Double Quiver Gauge Theory and BPS/CFT Correspondence	2
Locally Homogeneous Holomorphic Geometric Structures on Projective Varieties	2
Comomentum Sections and Poisson Maps in Hamiltonian Lie Algebroids	2
Resurgent Analysis of Ward-Schwinger-Dyson Equations	2
Difference Operators and Duality for Trigonometric Gaudin and Dynamical Hamiltonians	2
The Exponential Map for Hopf Algebras	2
Monotone Cumulant-Moment Formula and Schröder Trees	2
Deformations of Symmetric Simple Modular Lie (Super)Algebras	2
Unitarity of the SoV Transform for $\mathrm{SL}(2,\mathbb C)$ Spin Chains	2
Compact Locally Conformally Pseudo-Kähler Manifolds with Essential Conformal Transformations	2
On Some Special Cases of Gaiotto's Positivity Conjecture	2
Deformations of Dimer Models	1
Doubly Exotic Nth-Order Superintegrable Classical Systems Separating in Cartesian Coordinates	1
Tropical Mirror Symmetry in Dimension One	1
Modified Green-Hyperbolic Operators	1
Real Slices of ${\rm SL}(r,\mathbb{C})$-Opers	1
Symplectic Differential Reduction Algebras and Generalized Weyl Algebras	1
Szegő Kernel and Symplectic Aspects of Spectral Transform for Extended Spaces of Rational Matrices	1
Bäcklund-Darboux Transformations for Super KdV Type Equations	1
Relationships Between Hyperelliptic Functions of Genus 2 and Elliptic Functions	1
Smooth Solutions of the tt* Equation: A Numerical Aided Case Study	1
Resolvent Trace Formula and Determinants of n Laplacians on Orbifold Riemann Surfaces	1
Torsion Obstructions to Positive Scalar Curvature	1
Positive Intermediate Ricci Curvature on Fibre Bundles	1
Spinors, Twistors and Classical Geometry	1
Optimal Transport and Generalized Ricci Flow	1
An Expansion Formula for Decorated Super-Teichmüller Spaces	1
The Algebraic and Geometric Classification of Compatible Pre-Lie Algebras	1
Lagrangian Multiform for Cyclotomic Gaudin Models	1
Lerch $\Phi$ Asymptotics	1
1D Landau-Ginzburg Superpotential of Big Quantum Cohomology of $\mathbb{CP}^2$	1
From pp-Waves to Galilean Spacetimes	1
Novikov-Veselov Symmetries of the Two-Dimensional O(N) Sigma Model	1
The Evaluation of Graphs on Surfaces for State-Sum Models with Defects	1
Some Differential Equations for the Riemann $\theta$-Function on Jacobians	1
The Derived Pure Spinor Formalism as an Equivalence of Categories	1
Noncolliding Macdonald Walks with an Absorbing Wall	1
Differential Antisymmetric Infinitesimal Bialgebras, Coherent Derivations and Poisson Bialgebras	1
Ladder Operators and Hidden Algebras for Shape Invariant Nonseparable and Nondiagonalizable Modelswith Quadratic Complex Interaction. II. Three-Dimensional Model	1
Rooted Clusters for Graph LP Algebras	1
Entropy of Generating Series for Nonlinear Input-Output Systems and Their Interconnections	1
Bilateral Bailey Lattices and Andrews-Gordon Type Identities	1
Deformations of Instanton Metrics	1

Bilinear Expansions of KP Multipair Correlators in BKP Correlators	1
Symmetries in Riemann-Cartan Geometries	1
New Combinatorial Formulae for Nested Bethe Vectors	1
On Integrable Nets in General and Concordant Chebyshev Nets in Particular	1
Maximal Discrete Subgroups in Unitary Groups of Operator Algebras	1
Field Calculus: Quantum and Statistical Field Theory without the Feynman Diagrams	1
On q -Middle Convolution and q -Hypergeometric Equations	1
Minimal Kinematics: An All k and n Peek into Trop<sup>+</sup>G(k,n)	1
A Note on the Spectrum of Magnetic Dirac Operators	1
On Relative Tractor Bundles	1
Rank 2 Bundles with Meromorphic Connections with Poles of Poincaré Rank 1	1
Holography of Higher Codimension Submanifolds: Riemannian and Conformal	1
Correlated Gromov-Witten Invariants	1
Scalar Curvatures of Invariant Almost Hermitian Structures on Generalized Flag Manifolds	1
About a Family of ALF Instantons with Conical Singularities	1
Moduli Spaces for the Fifth Painlevé Equation	1
Ladder Operators and Hidden Algebras for Shape Invariant Nonseparable and Nondiagonalizable Modelswith Quadratic Complex Interaction. I. Two-Dimensional Model	1
Kähler-Yang-Mills Equations and Vortices	1
A Cable Knot and BPS-Series	1
Tropical Mirror	1
Simplified Forms of the Transition Probabilities of the Two-Species ASEP with Some Initial Orders of Particles	1
Tensors and Algebras: An Algebraic Spacetime Interpretation for Tensor Models	1
The Rogers-Ramanujan Identities and Cauchy's Identity	1
On Uniqueness of Submaximally Symmetric Vector Ordinary Differential Equations of C-Class	1
On Kazama-Suzuki Duality between $\mathcal{W}_k(\mathfrak{sl}_4, f_{\rm sub})$ and $N=2$ Superconformal Vertex Algebra	1
Infinitesimal Modular Group: $q$-Deformed $\mathfrak{sl}_2$ and Witt Algebra	1
Some Spherical Function Values for Hook Tableaux Isotypes and Young Subgroups	1
Virtual Classes of Representation Varieties of Upper Triangular Matrices via Topological Quantum Field Theories	1
Spherical Induced Ensembles with Symplectic Symmetry	1
On the Quantum K-Theory of the Quintic	1
On the Motivic Class of the Moduli Stack of Twisted $G$-Covers	1
Equivariant Coarse (Co-)Homology Theories	1
A Sharp Lieb-Thirring Inequality for Functional Difference Operators	1
A Pseudodifferential Analytic Perspective on Getzler's Rescaling	1
Deformed Quantum Phase Spaces, Realizations, Star Products and Twists	1
On Invariants of Constant $p$-Mean Curvature Surfaces in the Heisenberg Group $H_1$	1
Spectral Asymmetry and Index Theory on Manifolds with Generalised Hyperbolic Cusps	1
Painlevé-III Monodromy Maps Under the $D_6\to D_8$ Confluence and Applications to the Large-Parameter Asymptotics of Rational Solutions	1
Unrestricted Quantum Moduli Algebras, II: Noetherianity and Simple Fraction Rings at Roots of 1	1
Resurgent Structure of the Topological String and the First Painlevé Equation	1
Darboux Transformations for Orthogonal Differential Systems and Differential Galois Theory	1
Stationary Flows Revisited	1
Geometric Transformations on Null Curves in the Anti-de Sitter 3-Space	1
Refined and Generalized hat Z Invariants for Plumbed 3-Manifolds	1
Quantization of Calogero-Painlevé System and Multi-Particle Quantum Painlevé Equations II-VI	1
Maximal Graded Solvable Subalgebras of Simple Finite-Dimensional Vectorial Lie Superalgebras	0
Asymptotic Expansions of Finite Hankel Transforms and the Surjectivity of Convolution Operators	0
Real Liouvillian Extensions of Partial Differential Fields	0
Compatible $E$-Differential Forms on Lie Algebroids over (Pre-)Multisymplectic Manifolds	0
Mirror Symmetry for Truncated Cluster Varieties	0
Strichartz Estimates for the $(k,a)$-Generalized Laguerre Operators	0
Hilbert Series of $S_3$-Quasi-Invariant Polynomials in Characteristics 2, 3	0
Uniformity of Strong Asymptotics in Angelesco Systems	0
Tangent Weights and Invariant Curves in Type A Bow Varieties	0
On the Structure of Trans-Series in Quantum Field Theory	0
Renormalization in Combinatorially Non-Local Field Theories: the BPHZ Momentum Scheme	0
Properties of the Non-Autonomous Lattice Sine-Gordon Equation: Consistency around a Broken Cube Property	0
Expansions and Characterizations of Sieved Random Walk Polynomials	0
Recursion Relation for Toeplitz Determinants and the Discrete Painlevé II Hierarchy	0
Dirac Operators for the Dunkl Angular Momentum Algebra	0
SICs and the Triangle Group (3,3,3)	0
Equivalent Integrable Metrics on the Sphere with Quartic Invariants	0
A Constructive Proof for the Umemura Polynomials of the Third Painlevé Equation	0
A Representation-Theoretic Approach to qq-Characters	0
On the Monodromy Invariant Hermitian Form for A-Hypergeometric Systems	0
Numerators in Parametric Representations of Feynman Diagrams	0
Character Vectors of Strongly Regular Vertex Operator Algebras	0
Kernel Function, $q$-Integral Transformation and $q$-Heun Equations	0
Nonlinear Isocapacitary Concepts of Mass in 3-Manifolds with Nonnegative Scalar Curvature	0
Fragments of a History of the Concept of Ideal. Poncelet's and Chasles's Reflections on Generality in Geometry and their Impact on Kummer's Work with Ideal Divisors	0
Bailey Pairs and an Identity of Chern-Li-Stanton-Xue-Yee	0
Fay Identities of Pfaffian Type for Hyperelliptic Curves	0
Scale Invariant Scattering and Bernoulli Numbers	0
Modular Exercises for Four-Point Blocks - I	0
ADE Bundles over Surfaces	0
Combinatorial Interpretations of Cranks of Overpartitions and Partitions without Repeated Odd Parts	0
A Note about Isotopy and Concordance of Positive Scalar Curvature Metrics on Compact Manifolds with Boundary	0
Frobenius Monoidal Functors of Dijkgraaf-Witten Categories and Rigid Frobenius Algebras	0
A Novel Potential Featuring Off-Center Circular Orbits	0
New Evaluations of Inverse Binomial Series via Cyclotomic Multiple Zeta Values	0

Unobstructed Immersed Lagrangian Correspondence and Filtered $A_{\infty}$ Functor	0
Knots and Their Related $q$-Series	0
Computation of Infinitesimals for a Group Action on a Multispace of One Independent Variable	0
Integrable Semi-Discretization for a Modified Camassa-Holm Equation with Cubic Nonlinearity	0
The Wehrheim-Woodward Category of Linear Canonical Relations between $G$-Spaces	0
Law of Large Numbers for Roots of Finite Free Multiplicative Convolution of Polynomials	0
Non-Semisimple TQFT's and BPS q-Series	0
Expansion for a Fundamental Solution of Laplace's Equation in Flat-Ring Cyclide Coordinates	0
A General Dixmier Trace Formula for the Density of States on Open Manifolds	0
Big and Nef Tautological Vector Bundles over the Hilbert Scheme of Points	0
Single-Valued Killing Fields of a Meromorphic Affine Connection and Classification	0
Counting Curves with Tangencies	0
The Generalized Fibonacci Oscillator as an Open Quantum System	0
Relating Stated Skein Algebras and Internal Skein Algebras	0
Koenigs Theorem and Superintegrable Liouville Metrics	0
Positive Weighted Partitions Generated by Double Series	0
The Clebsch-Gordan Rule for U(sl<sub>2</sub>), the Krawtchouk Algebras and the Hamming Graphs	0
Cluster Configuration Spaces of Finite Type	0
A Note on Multi-Oriented Graph Complexes and Deformation Quantization of Lie Bialgebroids	0
Quantum Representation of Affine Weyl Groups and Associated Quantum Curves	0
Virasoro Action on the Q-Functions	0
On the Spectrum of Certain Hadamard Manifolds	0
Tridendriform Structures	0
Explicit Central Elements of U<sub>q</sub>(gl(N+1))	0
How to Draw a Correlation Function	0
Newton's Off-Center Circular Orbits and the Magnetic Monopole	0
Rigidity and Non-Rigidity of $\mathbb{H}^n/\mathbb{Z}^{n-2}$ with Scalar Curvature Bounded from Below	0
q-Middle Convolution and q-Painlevé Equation	0
Hexagonal Circular 3-Webs with Reducible Polar Curves of Degree Three	0
DG-Enhanced Hecke and KLR Algebras	0
Multidimensional Nonhomogeneous Quasi-Linear Systems and Their Hamiltonian Structure	0
A Generalization of Zwegers' μ-Function According to the q -Hermite-Weber Difference Equation	0
Product Inequalities for $\mathbb T^\rtimes$-Stabilized Scalar Curvature	0
Proof of Two Multivariate $q$-Binomial Sums Arising in Gromov-Witten Theory	0
Real Forms of Holomorphic Hamiltonian Systems	0
Soliton Condensates for the Focusing Nonlinear Schrödinger Equation: a Non-Bound State Case	0
Quantum Modularity for a Closed Hyperbolic 3-Manifold	0
The Double Fock Space of Type B	0
On the Signature of a Path in an Operator Algebra	0
Quadratic Varieties of Small Codimension	0
Classification of the Orthogonal Separable Webs for the Hamilton-Jacobi and Klein-Gordon Equations on 3-Dimensional Minkowski Space	0
The Generalized Lipkin-Meshkov-Glick Model and the Modified Algebraic Bethe Ansatz	0
Accessory Parameters for Four-Punctured Spheres	0
A Quantum 0-infty Law	0
Universality of Descendent Integrals over Moduli Spaces of Stable Sheaves on K3 Surfaces	0
Experimenting with the Garsia-Milne Involution Principle	0
Twisted Traces and Positive Forms on Generalized q-Weyl Algebras	0
On Pre-Novikov Algebras and Derived Zinbiel Variety	0
The Ooguri-Vafa Space as a Moduli Space of Framed Wild Harmonic Bundles	0
Orthogonal Polynomial Stochastic Duality Functions for Multi-Species SEP(2j) and Multi-Species IRW	0
Deformation Quantization with Separation of Variables of $G_{2,4}(\mathbb{C})$	0
Markovianity and the Thompson Group F	0
Clean Single-Valued Polylogarithms	0
$\mathfrak{gl}(3)$ Polynomial Integrable System: Different Faces of the 3-Body/${\mathcal A}_2$ Elliptic Calogero Model	0
Computation of Weighted Bergman Inner Products on Bounded Symmetric Domains and Parseval-Plancherel-Type Formulas under Subgroups	0
A Poincaré Formula for Differential Forms and Applications	0
Moduli Space for Kink Collisions with Moving Center of Mass	0
Reduction of the 2D Toda Hierarchy and Linear Hodge Integrals	0
Deformed $w_{1+\infty}$ Algebras in the Celestial CFT	0
Sign Convention for $A_{\infty}$-operations in Bott-Morse Case	0
Algebraic Bethe Ansatz for the Open XXZ Spin Chain with Non-Diagonal Boundary Terms via $U_{\mathfrak{q}}\mathfrak{sl}_2$ Symmetry	0
Geometrical Aspects of the Hamiltonization Problem of Dynamical Systems	0
Quantum Curves, Resurgence and Exact WKB	0
Witten-Reshetikhin-Turaev Invariants, Homological Blocks, and Quantum Modular Forms for Unimodular Plumbing H-Graphs	0
Computation of Weighted Bergman Inner Products on Bounded Symmetric Domains and Restriction to Subgroups	0
Explicit Triangular Decoupling of the Separated Lichnerowicz Tensor Wave Equation on Schwarzschild into Scalar Regge-Wheeler Equations	0
Harmonic Metrics for Higgs Bundles of Rank 3 in the Hitchin Section	0
Weil Classes and Decomposable Abelian Fourfolds	0
Systolic Inequalities for Compact Quotients of Carnot Groups with Popp's Volume	0
Spherical Representations of C<sup>∗</sup>-Flows II: Representation System and Quantum Group Setup	0
Solitons in the Gauged Skyrme-Maxwell Model	0
ransformations of Currents in Sigma-Models with Target Space Supersymmetry	0
A Note on Coupled Dirac Operators	0
Generically, Arnold-Liouville Systems Cannot be Bi-Hamiltonian	0
Tau Functions from Joyce Structures	0
Reduction of $L_\infty$-Algebras of Observables on Multisymplectic Manifolds	0
Vector Fields and Flows on Subcartesian Spaces	0
On $F$-Polynomials for Generalized Quantum Cluster Algebras and Gupta's Formula	0
A Path-Counting Analysis of Phase Shifts in Box-Ball Systems	0
Twisted Sectors for Lagrangian Floer Theory on Symplectic Orbifolds	0
Complete Asymptotic Expansions for the Normalizing Constants of High-Dimensional Matrix Bingham and Matrix Langevin Distributions	0
K-Theoretic Descendent Series for Hilbert Schemes of Points on Surfaces	0
De Finetti Theorems for the Unitary Dual Group	0
Moving Frames: Difference and Differential-Difference Lagrangians	0
Boundary Value Problems for Dirac Operators on Graphs	0
An Askey-Wilson Algebra of Rank 2	0
A $3 \times 3$ Lax Form for the $q$-Painlevé Equation of Type $E_6$	0
Algebraic Complete Integrability of the $a_4^{(2)}$ Toda Lattice	0
A Combinatorial Description of Certain Polynomials Related to the XYZ Spin Chain. II. The Polynomials p<sub>n</sub>	0
Skew Symplectic and Orthogonal Schur Functions	0
Affine Nijenhuis Operators and Hochschild Cohomology of Trusses	0
Mapping Class Group Representations Derived from Stated Skein Algebras	0
On Degenerations of the Projective Plane	0
Derivations and Central Extensions of Symmetric Modular Lie Algebras and Superalgebras	0
Lie Admissible Triple Algebras: The Connection Algebra of Symmetric Spaces	0