Symmetry Integrability and Geometry-Methods and Applications

Article	Citations
Celestial w1+∞ Symmetries from Twistor Space	15
Integrable E-Models, 4d Chern-Simons Theory and Affine Gaudin Models. I. Lagrangian Aspects	15
Cluster Configuration Spaces of Finite Type	10
Flat Structure on the Space of Isomonodromic Deformations	9
Families of Gröbner Degenerations, Grassmannians and Universal Cluster Algebras	8
CFT Correlators for Cardy Bulk Fields via String-Net Models	6
Hom-Lie Algebras and Hom-Lie Groups, Integration and Differentiation	6
Z<sub>2</sub><sup>3</sup>-Graded Extensions of Lie Superalgebras and Superconformal Quantum Mechanics	5
Scaling Limits of Planar Symplectic Ensembles	5
Perturbative and Geometric Analysis of the Quartic Kontsevich Model	5
Functional Relations on Anisotropic Potts Models: from Biggs Formula to the Tetrahedron Equation	4
Seiberg-Witten Geometry of Four-Dimensional $\mathcal N=2$ Quiver Gauge Theories	4
Semiclassical Trans-Series from the Perturbative Hopf-Algebraic Dyson-Schwinger Equations: phi3 QFT in 6 Dimensions	4
The Noncommutative Geometry of the Landau Hamiltonian: Metric Aspects	4
Topological T-Duality for Twisted Tori	4
The Arithmetic Geometry of AdS<sub>2</sub> and its Continuum Limit	4
Universality of Descendent Integrals over Moduli Spaces of Stable Sheaves on K3 Surfaces	4
Quantum Curves, Resurgence and Exact WKB	4
Elliptic Double Affine Hecke Algebras	3
Pfaffian Point Processes from Free Fermion Algebras: Perfectness and Conditional Measures	3
Asymptotic Estimation for Eigenvalues in the Exponential Potential and for Zeros of Kiν(z) with Respect to Order	3
Stable Kink-Kink and Metastable Kink-Antikink Solutions	3
Deformed Quantum Phase Spaces, Realizations, Star Products and Twists	3
Tuning Co- and Contra-Variant Transforms: the Heisenberg Group Illustration	3
Orthogonal Polynomial Stochastic Duality Functions for Multi-Species SEP(2j) and Multi-Species IRW	3

Width, Largeness and Index Theory	3
Exponential Networks, WKB and Topological String	3
Ladder Operators and Hidden Algebras for Shape Invariant Nonseparable and Nondiagonalizable Modelswith Quadratic Complex Interaction. II. Three-Dimensional Model	2
Stäckel Equivalence of Non-Degenerate Superintegrable Systems, and Invariant Quadrics	2
Quantum Representation of Affine Weyl Groups and Associated Quantum Curves	2
Extension Quiver for Lie Superalgebra q(3)	2
Notes on Worldsheet-Like Variables for Cluster Configuration Spaces	2
New Techniques for Worldline Integration	2
Quantum K-Theory of Grassmannians and Non-Abelian Localization	2
Spherical Induced Ensembles with Symplectic Symmetry	2
Cyclic Sieving for Plane Partitions and Symmetry	2
The Algebraic Structure of the KLT Relations for Gauge and Gravity Tree Amplitudes	2
Relating Stated Skein Algebras and Internal Skein Algebras	2
Toward Classification of 2nd Order Superintegrable Systems in 3-Dimensional Conformally Flat Spaces with Functionally Linearly Dependent Symmetry Operators	2
Exceptional Legendre Polynomials and Confluent Darboux Transformations	2
Non-Semisimple TQFT's and BPS q-Series	2
An Askey-Wilson Algebra of Rank 2	2
Harmonic Analysis in d-Dimensional Superconformal Field Theory	2
A Framework for Geometric Field Theories and their Classification in Dimension One	2
anar Orthogonal Polynomials as Type I Multiple Orthogonal Polynomials	2
Stationary Flows Revisited	2
Linear Z<sub>2</sub><sup>n</sup>-Manifolds and Linear Actions	2
The Subelliptic Heat Kernel of the Octonionic Anti-De Sitter Fibration	2
Good Wild Harmonic Bundles and Good Filtered Higgs Bundles	2
A Unified View on Geometric Phases and Exceptional Points in Adiabatic Quantum Mechanics	2
Renormalization in Combinatorially Non-Local Field Theories: the BPHZ Momentum Scheme	2
Hypergeometric Functions at Unit Argument: Simple Derivation of Old and New Identities	2
Gauss Coordinates vs Currents for the Yangian Doubles of the Classical Types	2
De Finetti Theorems for the Unitary Dual Group	2
Algebraic Structures on Typed Decorated Rooted Trees	2
Recursion Relation for Toeplitz Determinants and the Discrete Painlevé II Hierarchy	2
A Fully Noncommutative Painlevé II Hierarchy: Lax Pair and Solutions Related to Fredholm Determinants	2
Expansion for a Fundamental Solution of Laplace's Equation in Flat-Ring Cyclide Coordinates	2
Deformed $w_{1+\infty}$ Algebras in the Celestial CFT	2
Double Box Motive	2
Locality and General Vacua in Quantum Field Theory	2
Riemannian Geometry of a Discretized Circle and Torus	2
Representations of the Lie Superalgebra osp(1|2n) with Polynomial Bases	2
Explicit Triangular Decoupling of the Separated Lichnerowicz Tensor Wave Equation on Schwarzschild into Scalar Regge-Wheeler Equations	2
Solitons in the Gauged Skyrme-Maxwell Model	2
Curvature-Dimension Condition Meets Gromov's n-Volumic Scalar Curvature	2
From Heun Class Equations to Painlevé Equations	2
Voros Coefficients at the Origin and at the Infinity of the Generalized Hypergeometric Differential Equations with a Large Parameter	1
A Composite Order Generalization of Modular Moonshine	1
Diagonal Tau-Functions of 2D Toda Lattice Hierarchy, Connected $(n,m)$-Point Functions, and Double Hurwitz Numbers	1
Exact Correlations in Topological Quantum Chains	1
Twistor Theory of Dancing Paths	1
Modified Green-Hyperbolic Operators	1
Exponential Formulas, Normal Ordering and the Weyl-Heisenberg Algebra	1
On the Abuaf-Ueda Flop via Non-Commutative Crepant Resolutions	1

Quantum Modular $\widehat Z{}^G$-Invariants	1
Gauss Hypergeometric Representations of the Ferrers Function of the Second Kind	1
A Cable Knot and BPS-Series	1
Exact Formulas of the Transition Probabilities of the Multi-Species Asymmetric Simple Exclusion Process	1
Nonlinear Isocapacitary Concepts of Mass in 3-Manifolds with Nonnegative Scalar Curvature	1
Some Useful Operators on Differential Forms on Galilean and Carrollian Spacetimes	1
Monotone Cumulant-Moment Formula and Schröder Trees	1
Parameter Permutation Symmetry in Particle Systems and Random Polymers	1
How Discrete Spectrum and Resonances Influence the Asymptotics of the Toda Shock Wave	1
Mirror Symmetry for Truncated Cluster Varieties	1
Small Gauge Transformations and Universal Geometry in Heterotic Theories	1
Knot Complement, ADO Invariants and their Deformations for Torus Knots	1
Geometric Models and Variation of Weights on Moduli of Parabolic Higgs Bundles over the Riemann Sphere: a Case Study	1
The Holonomy Groupoids of Singularly Foliated Bundles	1
Post-Lie Magnus Expansion and BCH-Recursion	1
oundary One-Point Function of the Rational Six-Vertex Model with Partial Domain Wall Boundary Conditions: Explicit Formulas and Scaling Properties	1
Reduction of the 2D Toda Hierarchy and Linear Hodge Integrals	1
Properties of the Non-Autonomous Lattice Sine-Gordon Equation: Consistency around a Broken Cube Property	1
Yangian of the General Linear Lie Superalgebra	1
Spectra of Compact Quotients of the Oscillator Group	1
Minimal Kinematics: An All k and n Peek into Trop<sup>+</sup>G(k,n)	1
Real Liouvillian Extensions of Partial Differential Fields	1
Categorial Independence and Lévy Processes	1
From Twistor-Particle Models to Massive Amplitudes	1
Moduli Space for Kink Collisions with Moving Center of Mass	1
Double Quiver Gauge Theory and BPS/CFT Correspondence	1
Positive Scalar Curvature due to the Cokernel of the Classifying Map	1
Resurgent Analysis of Ward-Schwinger-Dyson Equations	1
The Higher-Rank Askey-Wilson Algebra and Its Braid Group Automorphisms	1
Noncolliding Macdonald Walks with an Absorbing Wall	1
On q-Isomonodromic Deformations and q-Nekrasov Functions	1
Complementary Modules of Weierstrass Canonical Forms	1
Snake Graphs from Triangulated Orbifolds	1
Smooth Multisoliton Solutions of a 2-Component Peakon System with Cubic Nonlinearity	1
Knots and Their Related $q$-Series	1
Ladder Operators and Hidden Algebras for Shape Invariant Nonseparable and Nondiagonalizable Modelswith Quadratic Complex Interaction. I. Two-Dimensional Model	1
Defining Pointwise Lower Scalar Curvature Bounds for C<sup>0</sup> Metrics with Regularization by Ricci Flow	1
An Introduction to Motivic Feynman Integrals	1
Difference Equation for Quintic 3-Fold	1
ompleteness of SoV Representation for SL(2,R) Spin Chains	1
Computation of Weighted Bergman Inner Products on Bounded Symmetric Domains and Restriction to Subgroups	1
Some Generalizations of Mirzakhani's Recursion and Masur-Veech Volumes via Topological Recursions	1
Rank 4 Nichols Algebras of Pale Braidings	1
Manin Matrices for Quadratic Algebras	1
On the Quantum K-Theory of the Quintic	1
Pathlike Co/Bialgebras and their Antipodes with Applications to Bi- and Hopf Algebras Appearing in Topology, Number Theory and Physics	1
The Differential Geometry of the Orbit Space of Extended Affine Jacobi Group A<sub>1</sub>	1
Non-Stationary Ruijsenaars Functions for κ=t−1/N and Intertwining Operators of Ding-Iohara-Miki Algebra	1
Clean Single-Valued Polylogarithms	1
Tropical Mirror Symmetry in Dimension One	1
Unrestricted Quantum Moduli Algebras. I. The Case of Punctured Spheres	1
Non-Integrability of the Kepler and the Two-Body Problems on the Heisenberg Group	1
Affine Kac-Moody Algebras and Tau-Functions for the Drinfeld-Sokolov Hierarchies: the Matrix-Resolvent Method	1
Nudged Elastic Bands and Lightly Bound Skyrmions	1
Manifolds of Lie-Group-Valued Cocycles and Discrete Cohomology	1
Tensors and Algebras: An Algebraic Spacetime Interpretation for Tensor Models	1
On the 2-Systole of Stretched Enough Positive Scalar Curvature Metrics on S<sup>2</sup> times S<sup>2</sup>	1
Second-Order Differential Operators in the Limit Circle Case	1
Lie Admissible Triple Algebras: The Connection Algebra of Symmetric Spaces	1
Shifted Substitution in Non-Commutative Multivariate Power Series with a View Toward Free Probability	1
An Elliptic Hypergeometric Function Approach to Branching Rules	1
A Combinatorial Description of Certain Polynomials Related to the XYZ Spin Chain. II. The Polynomials p<sub>n</sub>	1
The B<sub>2</sub> Harmonic Oscillator with Reflections and Superintegrability	1
Space Curves and Solitons of the KP Hierarchy. I. The l-th Generalized KdV Hierarchy	1
Negative Times of the Davey-Stewartson Integrable Hierarchy	1
The Linear Span of Uniform Matrix Product States	1
A Map Between Moduli Spaces of Connections	1
Mixed vs Stable Anti-Yetter-Drinfeld Contramodules	1
Witten-Reshetikhin-Turaev Invariants, Homological Blocks, and Quantum Modular Forms for Unimodular Plumbing H-Graphs	1
Nonsymmetric Macdonald Superpolynomials	1
Equivariant Coarse (Co-)Homology Theories	1
Collapsing Geometry with Ricci Curvature Bounded Below and Ricci Flow Smoothing	1
From pp-Waves to Galilean Spacetimes	1
Character Vectors of Strongly Regular Vertex Operator Algebras	1
Scalar Curvature Rigidity of Warped Product Metrics	1
Spin<sup>h</sup> Manifolds	1
Determinantal Expressions in Multi-Species TASEP	1
Inscribed Radius Bounds for Lower Ricci Bounded Metric Measure Spaces with Mean Convex Boundary	1
A Revisit to the ABS H2 Equation	1
Differential Equations for Approximate Solutions of Painlevé Equations: Application to the Algebraic Solutions of the Painlevé-III $({\rm D}_7)$ Equation	0

Tau Function and Moduli of Meromorphic Quadratic Differential	0
New Pieri Type Formulas for Jack Polynomials and their Applications to Interpolation Jack Polynomials	0
Initial-Boundary Value Problem for the Maxwell-Bloch Equations with an Arbitrary Inhomogeneous Broadening and Periodic Boundary Function	0
The Asymptotic Structure of the Centred Hyperbolic 2-Monopole Moduli Space	0
On Scalar and Ricci Curvatures	0
Taking Music Seriously: on the Dynamics of 'Mathemusical' Research with a Focus on Hexachordal Theorems	0
The Generalized Cluster Complex: Refined Enumeration of Faces and Related Parking Spaces	0
Prescribed Riemannian Symmetries	0
Novikov-Veselov Symmetries of the Two-Dimensional O(N) Sigma Model	0
On Generalized WKB Expansion of Monodromy Generating Function	0
On the Structure of Set-Theoretic Polygon Equations	0
Isomonodromic Deformations Along the Caustic of a Dubrovin-Frobenius Manifold	0
Algebras of Non-Local Screenings and Diagonal Nichols Algebras	0
Yamabe Invariants, Homogeneous Spaces, and Rational Complex Surfaces	0
Talbot Effect for the Manakov System on the Torus	0
Determinantal Formulas for Exceptional Orthogonal Polynomials	0
Quantization of Calogero-Painlevé System and Multi-Particle Quantum Painlevé Equations II-VI	0
A Note on BKP for the Kontsevich Matrix Model with Arbitrary Potential	0
Spatial Markov Semigroups Admit Hudson-Parthasarathy Dilations	0
The Generalized Fibonacci Oscillator as an Open Quantum System	0
A Decomposition of Twisted Equivariant K-Theory	0
Oriented Closed Polyhedral Maps and the Kitaev Model	0
Resurgence in the Transition Region: The Incomplete Gamma Function	0
Poisson Principal Bundles	0
Bimodule Connections for Relative Line Modules over the Irreducible Quantum Flag Manifolds	0
Identity between Restricted Cauchy Sums for the $q $-Whittaker and Skew Schur Polynomials	0
Resurgence of Refined Topological Strings and Dual Partition Functions	0
A Note on the Spectrum of Magnetic Dirac Operators	0
Adiabatic Limit, Theta Function, and Geometric Quantization	0
Mapping Class Group Representations Derived from Stated Skein Algebras	0
On the Fourth-Order Lattice Gel'fand-Dikii Equations	0
The Generalized Lipkin-Meshkov-Glick Model and the Modified Algebraic Bethe Ansatz	0
A $3 \times 3$ Lax Form for the $q$-Painlevé Equation of Type $E_6$	0
On the Convex Pfaff-Darboux Theorem of Ekeland and Nirenberg	0
Quantum Groups for Restricted SOS Models	0
Painlevé-III Monodromy Maps Under the $D_6\to D_8$ Confluence and Applications to the Large-Parameter Asymptotics of Rational Solutions	0
Information Geometry, Jordan Algebras, and a Coadjoint Orbit-Like Construction	0
The Primitive Derivation and Discrete Integrals	0
Frobenius Monoidal Functors of Dijkgraaf-Witten Categories and Rigid Frobenius Algebras	0
Geometry of Gauged Skyrmions	0
A Spectral Triple for a Solenoid Based on the Sierpinski Gasket	0
Twisted Traces and Positive Forms on Generalized q-Weyl Algebras	0
Topology of Almost Complex Structures on Six-Manifolds	0
Co-Axial Metrics on the Sphere and Algebraic Numbers	0
Universal Structures in C-Linear Enumerative Invariant Theories	0
Maximal Discrete Subgroups in Unitary Groups of Operator Algebras	0
Convergence to the Product of the Standard Spheres and Eigenvalues of the Laplacian	0
A Weierstrass Representation Formula for Discrete Harmonic Surfaces	0
On the Monodromy Invariant Hermitian Form for A-Hypergeometric Systems	0
Singularities of Schubert Varieties within a Right Cell	0
Compatible Poisson Brackets Associated with Elliptic Curves in $G(2,5)$	0
Relationships Between Hyperelliptic Functions of Genus 2 and Elliptic Functions	0
Computing Regular Meromorphic Differential Forms via Saito's Logarithmic Residues	0
Unrestricted Quantum Moduli Algebras, II: Noetherianity and Simple Fraction Rings at Roots of 1	0
The Gauge Group and Perturbation Semigroup of an Operator System	0
Optimal Transport and Generalized Ricci Flow	0
Solitons of Some Nonlinear Sigma-Like Models	0
Spinors in Five-Dimensional Contact Geometry	0
The Laplace-Beltrami Operator on the Surface of the Ellipsoid	0
Para-Bannai-Ito Polynomials	0
On the Total CR Twist of Transversal Curves in the 3-Sphere	0
Polynomial Solutions Modulo $p^s$ of Differential KZ and Dynamical Equations	0
A Pseudodifferential Analytic Perspective on Getzler's Rescaling	0
The Weighted Ambient Metric	0
The Clebsch-Gordan Rule for U(sl<sub>2</sub>), the Krawtchouk Algebras and the Hamming Graphs	0
Markovianity and the Thompson Group F	0
Degree-One Rational Cherednik Algebras for the Symmetric Group	0
On the Hill Discriminant of Lamé's Differential Equation	0
Index Theory of Chiral Unitaries and Split-Step Quantum Walks	0
From Orthocomplementations to Locality	0
A Skyrme Model with Novel Chiral Symmetry Breaking	0
Higher Braidings of Diagonal Type	0
A Gneiting-Like Method for Constructing Positive Definite Functions on Metric Spaces	0
Resolvent Trace Formula and Determinants of n Laplacians on Orbifold Riemann Surfaces	0
Spinors, Twistors and Classical Geometry	0
Virtual Classes of Representation Varieties of Upper Triangular Matrices via Topological Quantum Field Theories	0
Dynamic Feedback Linearization of Control Systems with Symmetry	0
Connection Problem for an Extension of q-Hypergeometric Systems	0
q-Selberg Integrals and Koornwinder Polynomials	0
Generalized Gross-Neveu Universality Class with Non-Abelian Symmetry	0
The Cobb-Douglas Production Function and the Old Bowley's Law	0
A Quantum 0-infty Law	0
Linear Independence of Generalized Poincaré Series for Anti-de Sitter 3-Manifolds	0
Asymptotic Expansions of Finite Hankel Transforms and the Surjectivity of Convolution Operators	0
Shuffle Algebras and Non-Commutative Probability for Pairs of Faces	0
Double Lowering Operators on Polynomials	0
Intertwinings for Continuum Particle Systems: an Algebraic Approach	0
Moduli Space of Factorized Ramified Connections and Generalized Isomonodromic Deformation	0
On a Transformation of Triple $q$-Series and Rogers-Hecke Type Series	0
Interplay between Opers, Quantum Curves, WKB Analysis, and Higgs Bundles	0
Modular Ordinary Differential Equations on SL(2,Z) of Third Order and Applications	0
The Racah Algebra of Rank 2: Properties, Symmetries and Representation	0
Darboux Transformations for Orthogonal Differential Systems and Differential Galois Theory	0
Field Calculus: Quantum and Statistical Field Theory without the Feynman Diagrams	0
Three Examples in the Dynamical Systems Theory	0