Symmetry Integrability and Geometry-Methods and Applications

Article	Citations
The Generalized Cluster Complex: Refined Enumeration of Faces and Related Parking Spaces	19
Geometry of Gauged Skyrmions	15
On the Fourth-Order Lattice Gel'fand-Dikii Equations	10
Topology of Almost Complex Structures on Six-Manifolds	8
Connection Problem for an Extension of q-Hypergeometric Systems	7
Determinantal Formulas for Exceptional Orthogonal Polynomials	7
Nudged Elastic Bands and Lightly Bound Skyrmions	6
Identity between Restricted Cauchy Sums for the $q $-Whittaker and Skew Schur Polynomials	5
Adiabatic Limit, Theta Function, and Geometric Quantization	5
Differential Equations for Approximate Solutions of Painlevé Equations: Application to the Algebraic Solutions of the Painlevé-III $({\rm D}_7)$ Equation	5
Polynomial Solutions Modulo $p^s$ of Differential KZ and Dynamical Equations	4
The Morse-Smale Property of the Thurston Spine	4
Algebraic Structures on Typed Decorated Rooted Trees	4
On a Transformation of Triple $q$-Series and Rogers-Hecke Type Series	4
Resurgence of Refined Topological Strings and Dual Partition Functions	3
A Riemann-Hilbert Approach to Skew-Orthogonal Polynomials of Symplectic Type	3
Symplectic Double Extensions for Restricted Quasi-Frobenius Lie (Super)Algebras	3
Global Magni4icence, or: 4G Networks	3
Some Useful Operators on Differential Forms on Galilean and Carrollian Spacetimes	3
Twistors, Self-Duality, and Spin<sup>c</sup> Structures	3
Deformations of Symmetric Simple Modular Lie (Super)Algebras	2
Functional Equations Solving Initial-Value Problems of Complex Burgers-Type Equations for One-Dimensional Log-Gases	2
Resurgent Analysis of Ward-Schwinger-Dyson Equations	2
Fermionic Basis in Conformal Field Theory and Thermodynamic Bethe Ansatz for Excited States II	2
Scaling Limits of Planar Symplectic Ensembles	2

Knots, Perturbative Series and Quantum Modularity	2
A Minimum Property for Cuboidal Lattice Sums	2
A Cable Knot and BPS-Series	2
Noncolliding Macdonald Walks with an Absorbing Wall	2
Unitarity of the SoV Transform for $\mathrm{SL}(2,\mathbb C)$ Spin Chains	2
Strong Szegő Limit Theorems for Multi-Bordered, Framed, and Multi-Framed Toeplitz Determinants	2
Monotone Cumulant-Moment Formula and Schröder Trees	2
The Exponential Map for Hopf Algebras	2
Difference Operators and Duality for Trigonometric Gaudin and Dynamical Hamiltonians	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
Refined and Generalized hat Z Invariants for Plumbed 3-Manifolds	2
Simplified Forms of the Transition Probabilities of the Two-Species ASEP with Some Initial Orders of Particles	2
Seven Concepts Attributed to Siméon-Denis Poisson	2
Tuning Co- and Contra-Variant Transforms: the Heisenberg Group Illustration	2
Non-Stationary Difference Equation and Affine Laumon Space II: Quantum Knizhnik-Zamolodchikov Equation	2
On Asymptotically Locally Hyperbolic Metrics with Negative Mass	2
Resurgent Structure of the Topological String and the First Painlevé Equation	2
Compact Locally Conformally Pseudo-Kähler Manifolds with Essential Conformal Transformations	2
On Some Special Cases of Gaiotto's Positivity Conjecture	2
Moduli Spaces for the Fifth Painlevé Equation	2
Doubly Exotic Nth-Order Superintegrable Classical Systems Separating in Cartesian Coordinates	2
Deformed Quantum Phase Spaces, Realizations, Star Products and Twists	1
Spectral Asymmetry and Index Theory on Manifolds with Generalised Hyperbolic Cusps	1
The Algebraic and Geometric Classification of Compatible Pre-Lie Algebras	1
Modified Green-Hyperbolic Operators	1
On Uniqueness of Submaximally Symmetric Vector Ordinary Differential Equations of C-Class	1
Virtual Classes of Representation Varieties of Upper Triangular Matrices via Topological Quantum Field Theories	1
On the Motivic Class of the Moduli Stack of Twisted $G$-Covers	1
Unrestricted Quantum Moduli Algebras, II: Noetherianity and Simple Fraction Rings at Roots of 1	1
Bilinear Expansions of KP Multipair Correlators in BKP Correlators	1
Quantization of Calogero-Painlevé System and Multi-Particle Quantum Painlevé Equations II-VI	1
The Clifford Algebra Bundle on Loop Space	1
On Invariants of Constant $p$-Mean Curvature Surfaces in the Heisenberg Group $H_1$	1
Darboux Transformations for Orthogonal Differential Systems and Differential Galois Theory	1
Szegő Kernel and Symplectic Aspects of Spectral Transform for Extended Spaces of Rational Matrices	1
Resolvent Trace Formula and Determinants of n Laplacians on Orbifold Riemann Surfaces	1
Differential Antisymmetric Infinitesimal Bialgebras, Coherent Derivations and Poisson Bialgebras	1
On the Quantum K-Theory of the Quintic	1
A Sharp Lieb-Thirring Inequality for Functional Difference Operators	1
Spinors, Twistors and Classical Geometry	1
Ladder Operators and Hidden Algebras for Shape Invariant Nonseparable and Nondiagonalizable Modelswith Quadratic Complex Interaction. II. Three-Dimensional Model	1
Symplectic Differential Reduction Algebras and Generalized Weyl Algebras	1
Lagrangian Multiform for Cyclotomic Gaudin Models	1
Geometric Transformations on Null Curves in the Anti-de Sitter 3-Space	1
Non-Integrability of the Kepler and the Two-Body Problems on the Heisenberg Group	1
A Note on the Spectrum of Magnetic Dirac Operators	1
Scalar Curvatures of Invariant Almost Hermitian Structures on Generalized Flag Manifolds	1
Entropy of Generating Series for Nonlinear Input-Output Systems and Their Interconnections	1

Deformations of Dimer Models	1
From pp-Waves to Galilean Spacetimes	1
Real Slices of ${\rm SL}(r,\mathbb{C})$-Opers	1
Field Calculus: Quantum and Statistical Field Theory without the Feynman Diagrams	1
Good Wild Harmonic Bundles and Good Filtered Higgs Bundles	1
Minimal Kinematics: An All k and n Peek into Trop<sup>+</sup>G(k,n)	1
Smooth Solutions of the tt* Equation: A Numerical Aided Case Study	1
On Relative Tractor Bundles	1
Quantum Modular $\widehat Z{}^G$-Invariants	1
Some Differential Equations for the Riemann $\theta$-Function on Jacobians	1
Spherical Induced Ensembles with Symplectic Symmetry	1
Infinitesimal Modular Group: $q$-Deformed $\mathfrak{sl}_2$ and Witt Algebra	1
Maximal Discrete Subgroups in Unitary Groups of Operator Algebras	1
1D Landau-Ginzburg Superpotential of Big Quantum Cohomology of $\mathbb{CP}^2$	1
Bilateral Bailey Lattices and Andrews-Gordon Type Identities	1
Kähler-Yang-Mills Equations and Vortices	1
Rooted Clusters for Graph LP Algebras	1
Painlevé-III Monodromy Maps Under the $D_6\to D_8$ Confluence and Applications to the Large-Parameter Asymptotics of Rational Solutions	1
An Expansion Formula for Decorated Super-Teichmüller Spaces	1
On Integrable Nets in General and Concordant Chebyshev Nets in Particular	1
Tropical Mirror	1
Relationships Between Hyperelliptic Functions of Genus 2 and Elliptic Functions	1
The Derived Pure Spinor Formalism as an Equivalence of Categories	1
Stationary Flows Revisited	1
On q -Middle Convolution and q -Hypergeometric Equations	1
Torsion Obstructions to Positive Scalar Curvature	1
A Pseudodifferential Analytic Perspective on Getzler's Rescaling	1
Deformations of Instanton Metrics	1
Equivariant Coarse (Co-)Homology Theories	1
Tropical Mirror Symmetry in Dimension One	1
Optimal Transport and Generalized Ricci Flow	1
Deformation of the Weighted Scalar Curvature	1
Positive Intermediate Ricci Curvature on Fibre Bundles	1
A Note on the Equidistribution of 3-Colour Partitions	1
Novikov-Veselov Symmetries of the Two-Dimensional O(N) Sigma Model	1
Tensors and Algebras: An Algebraic Spacetime Interpretation for Tensor Models	1
Holography of Higher Codimension Submanifolds: Riemannian and Conformal	1
New Techniques for Worldline Integration	1
About a Family of ALF Instantons with Conical Singularities	1
Symmetries in Riemann-Cartan Geometries	1
The Evaluation of Graphs on Surfaces for State-Sum Models with Defects	1
On Kazama-Suzuki Duality between $\mathcal{W}_k(\mathfrak{sl}_4, f_{\rm sub})$ and $N=2$ Superconformal Vertex Algebra	1
Ladder Operators and Hidden Algebras for Shape Invariant Nonseparable and Nondiagonalizable Modelswith Quadratic Complex Interaction. I. Two-Dimensional Model	1
Rank 2 Bundles with Meromorphic Connections with Poles of Poincaré Rank 1	1
Lerch $\Phi$ Asymptotics	1
Lie Admissible Triple Algebras: The Connection Algebra of Symmetric Spaces	0
Witten-Reshetikhin-Turaev Invariants, Homological Blocks, and Quantum Modular Forms for Unimodular Plumbing H-Graphs	0
Tau Functions from Joyce Structures	0
Solitons in the Gauged Skyrme-Maxwell Model	0
Knots and Their Related $q$-Series	0
A Constructive Proof for the Umemura Polynomials of the Third Painlevé Equation	0
Scale Invariant Scattering and Bernoulli Numbers	0
A Generalization of Zwegers' μ-Function According to the q -Hermite-Weber Difference Equation	0
Quantum Modularity for a Closed Hyperbolic 3-Manifold	0
Accessory Parameters for Four-Punctured Spheres	0
The Double Fock Space of Type B	0
Linear Z<sub>2</sub><sup>n</sup>-Manifolds and Linear Actions	0
A Note about Isotopy and Concordance of Positive Scalar Curvature Metrics on Compact Manifolds with Boundary	0
On Pre-Novikov Algebras and Derived Zinbiel Variety	0
Twisted Sectors for Lagrangian Floer Theory on Symplectic Orbifolds	0
Twisted Post-Hopf Algebras, Twisted Relative Rota-Baxter Operators and Hopf Trusses	0
Markovianity and the Thompson Group F	0
Character Vectors of Strongly Regular Vertex Operator Algebras	0
Strichartz Estimates for the $(k,a)$-Generalized Laguerre Operators	0
Positive Scalar Curvature on Spin Pseudomanifolds: the Fundamental Group and Secondary Invariants	0
Complete Asymptotic Expansions for the Normalizing Constants of High-Dimensional Matrix Bingham and Matrix Langevin Distributions	0
On the Monodromy Invariant Hermitian Form for A-Hypergeometric Systems	0
Fay Identities of Pfaffian Type for Hyperelliptic Curves	0
A General Dixmier Trace Formula for the Density of States on Open Manifolds	0
Quantum Curves, Resurgence and Exact WKB	0
Skew Symplectic and Orthogonal Schur Functions	0
The Clebsch-Gordan Rule for U(sl<sub>2</sub>), the Krawtchouk Algebras and the Hamming Graphs	0
Derivations and Central Extensions of Symmetric Modular Lie Algebras and Superalgebras	0
On the Total CR Twist of Transversal Curves in the 3-Sphere	0
Kernel Function, $q$-Integral Transformation and $q$-Heun Equations	0
Boundary Value Problems for Dirac Operators on Graphs	0
Rigidity and Non-Rigidity of $\mathbb{H}^n/\mathbb{Z}^{n-2}$ with Scalar Curvature Bounded from Below	0
A Quantum 0-infty Law	0
Newton's Off-Center Circular Orbits and the Magnetic Monopole	0
Soliton Condensates for the Focusing Nonlinear Schrödinger Equation: a Non-Bound State Case	0

Geometrical Aspects of the Hamiltonization Problem of Dynamical Systems	0
anar Orthogonal Polynomials as Type I Multiple Orthogonal Polynomials	0
$\mathfrak{gl}(3)$ Polynomial Integrable System: Different Faces of the 3-Body/${\mathcal A}_2$ Elliptic Calogero Model	0
Single-Valued Killing Fields of a Meromorphic Affine Connection and Classification	0
Integrable Semi-Discretization for a Modified Camassa-Holm Equation with Cubic Nonlinearity	0
q-Middle Convolution and q-Painlevé Equation	0
Generically, Arnold-Liouville Systems Cannot be Bi-Hamiltonian	0
Tangent Weights and Invariant Curves in Type A Bow Varieties	0
Affine Kac-Moody Algebras and Tau-Functions for the Drinfeld-Sokolov Hierarchies: the Matrix-Resolvent Method	0
On the Spectrum of Certain Hadamard Manifolds	0
The Generalized Lipkin-Meshkov-Glick Model and the Modified Algebraic Bethe Ansatz	0
De Finetti Theorems for the Unitary Dual Group	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
A Combinatorial Description of Certain Polynomials Related to the XYZ Spin Chain. II. The Polynomials p<sub>n</sub>	0
A Note on Multi-Oriented Graph Complexes and Deformation Quantization of Lie Bialgebroids	0
Experimenting with the Garsia-Milne Involution Principle	0
Moving Frames: Difference and Differential-Difference Lagrangians	0
Explicit Triangular Decoupling of the Separated Lichnerowicz Tensor Wave Equation on Schwarzschild into Scalar Regge-Wheeler Equations	0
Separation of Variables, Quasi-Trigonometric r-Matrices and Generalized Gaudin Models	0
Computation of Infinitesimals for a Group Action on a Multispace of One Independent Variable	0
Explicit Central Elements of U<sub>q</sub>(gl(N+1))	0
The Asymptotic Structure of the Centred Hyperbolic 2-Monopole Moduli Space	0
Classification of the Orthogonal Separable Webs for the Hamilton-Jacobi and Klein-Gordon Equations on 3-Dimensional Minkowski Space	0
Expansion for a Fundamental Solution of Laplace's Equation in Flat-Ring Cyclide Coordinates	0
ransformations of Currents in Sigma-Models with Target Space Supersymmetry	0
A Framework for Geometric Field Theories and their Classification in Dimension One	0
Asymptotic Expansions of Finite Hankel Transforms and the Surjectivity of Convolution Operators	0
Counting Curves with Tangencies	0
Reduction of $L_\infty$-Algebras of Observables on Multisymplectic Manifolds	0
Quantum Representation of Affine Weyl Groups and Associated Quantum Curves	0
Vector Fields and Flows on Subcartesian Spaces	0
Algebraic Complete Integrability of the $a_4^{(2)}$ Toda Lattice	0
Bailey Pairs and an Identity of Chern-Li-Stanton-Xue-Yee	0
Nonlinear Isocapacitary Concepts of Mass in 3-Manifolds with Nonnegative Scalar Curvature	0
Clean Single-Valued Polylogarithms	0
Properties of the Non-Autonomous Lattice Sine-Gordon Equation: Consistency around a Broken Cube Property	0
On $F$-Polynomials for Generalized Quantum Cluster Algebras and Gupta's Formula	0
Multidimensional Nonhomogeneous Quasi-Linear Systems and Their Hamiltonian Structure	0
Reduction of the 2D Toda Hierarchy and Linear Hodge Integrals	0
SICs and the Triangle Group (3,3,3)	0
New Evaluations of Inverse Binomial Series via Cyclotomic Multiple Zeta Values	0
Mapping Class Group Representations Derived from Stated Skein Algebras	0
The Generalized Fibonacci Oscillator as an Open Quantum System	0
Orthogonal Polynomial Stochastic Duality Functions for Multi-Species SEP(2j) and Multi-Species IRW	0
Non-Semisimple TQFT's and BPS q-Series	0
Higher Braidings of Diagonal Type	0
Spherical Representations of C<sup>∗</sup>-Flows II: Representation System and Quantum Group Setup	0
Compatible $E$-Differential Forms on Lie Algebroids over (Pre-)Multisymplectic Manifolds	0
A Poincaré Formula for Differential Forms and Applications	0
Koenigs Theorem and Superintegrable Liouville Metrics	0
A Note on Coupled Dirac Operators	0
Universality of Descendent Integrals over Moduli Spaces of Stable Sheaves on K3 Surfaces	0
Z<sub>2</sub><sup>3</sup>-Graded Extensions of Lie Superalgebras and Superconformal Quantum Mechanics	0
A New Class of Integrable Maps of the Plane: Manin Transformations with Involution Curves	0
Law of Large Numbers for Roots of Finite Free Multiplicative Convolution of Polynomials	0
On the Signature of a Path in an Operator Algebra	0
Modular Exercises for Four-Point Blocks - I	0
Proof of Two Multivariate $q$-Binomial Sums Arising in Gromov-Witten Theory	0
DG-Enhanced Hecke and KLR Algebras	0
Numerators in Parametric Representations of Feynman Diagrams	0
A Novel Potential Featuring Off-Center Circular Orbits	0
Dirac Operators for the Dunkl Angular Momentum Algebra	0
K-Theoretic Descendent Series for Hilbert Schemes of Points on Surfaces	0
Moduli Space for Kink Collisions with Moving Center of Mass	0
Systolic Inequalities for Compact Quotients of Carnot Groups with Popp's Volume	0
The Ooguri-Vafa Space as a Moduli Space of Framed Wild Harmonic Bundles	0
An Askey-Wilson Algebra of Rank 2	0
ADE Bundles over Surfaces	0
Virasoro Action on the Q-Functions	0
Cluster Configuration Spaces of Finite Type	0
Frobenius Monoidal Functors of Dijkgraaf-Witten Categories and Rigid Frobenius Algebras	0
Deformed $w_{1+\infty}$ Algebras in the Celestial CFT	0
Real Forms of Holomorphic Hamiltonian Systems	0
Recursion Relation for Toeplitz Determinants and the Discrete Painlevé II Hierarchy	0
Uniformity of Strong Asymptotics in Angelesco Systems	0
Tridendriform Structures	0
Families of Gröbner Degenerations, Grassmannians and Universal Cluster Algebras	0
A $3 \times 3$ Lax Form for the $q$-Painlevé Equation of Type $E_6$	0
Real Liouvillian Extensions of Partial Differential Fields	0
Harmonic Metrics for Higgs Bundles of Rank 3 in the Hitchin Section	0
Combinatorial Interpretations of Cranks of Overpartitions and Partitions without Repeated Odd Parts	0
Renormalization in Combinatorially Non-Local Field Theories: the BPHZ Momentum Scheme	0
Computation of Weighted Bergman Inner Products on Bounded Symmetric Domains and Restriction to Subgroups	0
How to Draw a Correlation Function	0
The Wehrheim-Woodward Category of Linear Canonical Relations between $G$-Spaces	0
Twisted Traces and Positive Forms on Generalized q-Weyl Algebras	0
On the Convex Pfaff-Darboux Theorem of Ekeland and Nirenberg	0
Big and Nef Tautological Vector Bundles over the Hilbert Scheme of Points	0
Expansions and Characterizations of Sieved Random Walk Polynomials	0
Algebraic Bethe Ansatz for the Open XXZ Spin Chain with Non-Diagonal Boundary Terms via $U_{\mathfrak{q}}\mathfrak{sl}_2$ Symmetry	0
A Representation-Theoretic Approach to qq-Characters	0
ompleteness of SoV Representation for SL(2,R) Spin Chains	0
From Heun Class Equations to Painlevé Equations	0
Sign Convention for $A_{\infty}$-operations in Bott-Morse Case	0
Computation of Weighted Bergman Inner Products on Bounded Symmetric Domains and Parseval-Plancherel-Type Formulas under Subgroups	0