Symmetry Integrability and Geometry-Methods and Applications

Article	Citations
Celestial w1+∞ Symmetries from Twistor Space	12
Integrable E-Models, 4d Chern-Simons Theory and Affine Gaudin Models. I. Lagrangian Aspects	11
Flat Structure on the Space of Isomonodromic Deformations	10
Evaluations of Noncommutative Polynomials on Algebras: Methods and Problems, and the L'vov-Kaplansky Conjecture	9
Classical Superintegrable Systems in a Magnetic Field that Separate in Cartesian Coordinates	7
Local Moduli of Semisimple Frobenius Coalescent Structures	7
Multi-Component Extension of CAC Systems	6
Isomorphism between the R-Matrix and Drinfeld Presentations of Quantum Affine Algebra: Types B and D	6
CFT Correlators for Cardy Bulk Fields via String-Net Models	6
Topological T-Duality for Twisted Tori	5
Scaling Limits of Planar Symplectic Ensembles	5
Cluster Configuration Spaces of Finite Type	5
Families of Gröbner Degenerations, Grassmannians and Universal Cluster Algebras	5
Perturbative and Geometric Analysis of the Quartic Kontsevich Model	5
Hom-Lie Algebras and Hom-Lie Groups, Integration and Differentiation	5
Functional Relations on Anisotropic Potts Models: from Biggs Formula to the Tetrahedron Equation	4
Short Star-Products for Filtered Quantizations, I	4
Breathing Modes, Quartic Nonlinearities and Effective Resonant Systems	4
The Noncommutative Geometry of the Landau Hamiltonian: Metric Aspects	4
On the Extended-Hamiltonian Structure of Certain Superintegrable Systems on Constant-Curvature Riemannian and Pseudo-Riemannian Surfaces	4
The Arithmetic Geometry of AdS<sub>2</sub> and its Continuum Limit	4
Z<sub>2</sub><sup>3</sup>-Graded Extensions of Lie Superalgebras and Superconformal Quantum Mechanics	4
Nonnegative Scalar Curvature and Area Decreasing Maps	4
Semiclassical Trans-Series from the Perturbative Hopf-Algebraic Dyson-Schwinger Equations: phi3 QFT in 6 Dimensions	3
The Endless Beta Integrals	3

New Explicit Lorentzian Einstein-Weyl Structures in 3-Dimensions	3
Conjectures and Open Questions on the Structure and Regularity of Spaces with Lower Ricci Curvature Bounds	3
Higher Rank Z^ and F<sub>K</sub>	3
Tuning Co- and Contra-Variant Transforms: the Heisenberg Group Illustration	3
The Causal Action in Minkowski Space and Surface Layer Integrals	3
Barnes-Ismagilov Integrals and Hypergeometric Functions of the Complex Field	3
Finite-Dimensional Irreducible Modules of the Racah Algebra at Characteristic Zero	3
Dendriform Algebras Relative to a Semigroup	3
Asymptotic Estimation for Eigenvalues in the Exponential Potential and for Zeros of Kiν(z) with Respect to Order	3
On the Unbounded Picture of KK-Theory	3
Algebraic Structures on Typed Decorated Rooted Trees	3
Triply Periodic Monopoles and Difference Modules on Elliptic Curves	3
Elliptic Double Affine Hecke Algebras	3
Pfaffian Point Processes from Free Fermion Algebras: Perfectness and Conditional Measures	3
Quantum Curves, Resurgence and Exact WKB	3
Explicit Triangular Decoupling of the Separated Lichnerowicz Tensor Wave Equation on Schwarzschild into Scalar Regge-Wheeler Equations	2
Deformed Quantum Phase Spaces, Realizations, Star Products and Twists	2
Hypergeometric Functions at Unit Argument: Simple Derivation of Old and New Identities	2
Recursion Relation for Toeplitz Determinants and the Discrete Painlevé II Hierarchy	2
Gauss Coordinates vs Currents for the Yangian Doubles of the Classical Types	2
Stable Kink-Kink and Metastable Kink-Antikink Solutions	2
Duality for Knizhnik-Zamolodchikov and Dynamical Operators	2
Quantum Representation of Affine Weyl Groups and Associated Quantum Curves	2
Exponential Networks, WKB and Topological String	2
Linear Z<sub>2</sub><sup>n</sup>-Manifolds and Linear Actions	2
Universality of Descendent Integrals over Moduli Spaces of Stable Sheaves on K3 Surfaces	2
Riemannian Geometry of a Discretized Circle and Torus	2
Solitons in the Gauged Skyrme-Maxwell Model	2
Non-Abelian Hodge Theory and Related Topics	2
Relating Stated Skein Algebras and Internal Skein Algebras	2
The Elliptic Painlevé Lax Equation vs. van Diejen's 8-Coupling Elliptic Hamiltonian	2
Curvature-Dimension Condition Meets Gromov's n-Volumic Scalar Curvature	2
From Heun Class Equations to Painlevé Equations	2
Notes on Worldsheet-Like Variables for Cluster Configuration Spaces	2
Stäckel Equivalence of Non-Degenerate Superintegrable Systems, and Invariant Quadrics	2
Expansion for a Fundamental Solution of Laplace's Equation in Flat-Ring Cyclide Coordinates	2
Extension Quiver for Lie Superalgebra q(3)	2
Double Box Motive	2
anar Orthogonal Polynomials as Type I Multiple Orthogonal Polynomials	2
Cyclic Sieving and Cluster Duality of Grassmannian	2
On the Generalized Cluster Algebras of Geometric Type	2
Basic Properties of Non-Stationary Ruijsenaars Functions	2
Width, Largeness and Index Theory	2
The Algebraic Structure of the KLT Relations for Gauge and Gravity Tree Amplitudes	2
Representations of the Lie Superalgebra osp(1|2n) with Polynomial Bases	2
Good Wild Harmonic Bundles and Good Filtered Higgs Bundles	2
Toward Classification of 2nd Order Superintegrable Systems in 3-Dimensional Conformally Flat Spaces with Functionally Linearly Dependent Symmetry Operators	2
A Combinatorial Description of Certain Polynomials Related to the XYZ Spin Chain	2
A Framework for Geometric Field Theories and their Classification in Dimension One	2
Harmonic Analysis in d-Dimensional Superconformal Field Theory	2

Quantum K-Theory of Grassmannians and Non-Abelian Localization	2
Is There an Analytic Theory of Automorphic Functions for Complex Algebraic Curves?	2
Locality and General Vacua in Quantum Field Theory	2
The Subelliptic Heat Kernel of the Octonionic Anti-De Sitter Fibration	2
On the Number of τ-Tilting Modules over Nakayama Algebras	2
Spherical Induced Ensembles with Symplectic Symmetry	2
Mirror Symmetry for Nonabelian Landau-Ginzburg Models	2
Cyclic Sieving for Plane Partitions and Symmetry	2
Renormalization in Combinatorially Non-Local Field Theories: the BPHZ Momentum Scheme	2
Mirror Symmetry for Truncated Cluster Varieties	1
From Twistor-Particle Models to Massive Amplitudes	1
Properties of the Non-Autonomous Lattice Sine-Gordon Equation: Consistency around a Broken Cube Property	1
Geometric Approach to Quantum Theory	1
A Faithful Braid Group Action on the Stable Category of Tricomplexes	1
Determinantal Expressions in Multi-Species TASEP	1
Knots and Their Related $q$-Series	1
Twisted Representations of Algebra of q-Difference Operators, Twisted q-W Algebras and Conformal Blocks	1
Virtual Classes of Representation Varieties of Upper Triangular Matrices via Topological Quantum Field Theories	1
Uniform Lower Bound for Intersection Numbers of ψ-Classes	1
Global Mirrors and Discrepant Transformations for Toric Deligne-Mumford Stacks	1
From pp-Waves to Galilean Spacetimes	1
The Racah Algebra as a Subalgebra of the Bannai-Ito Algebra	1
Representations and Conjugacy Classes of Semisimple Quasitriangular Hopf Algebras	1
Categorial Independence and Lévy Processes	1
A Fully Noncommutative Painlevé II Hierarchy: Lax Pair and Solutions Related to Fredholm Determinants	1
Nonlinear Isocapacitary Concepts of Mass in 3-Manifolds with Nonnegative Scalar Curvature	1
Dual Invertible Polynomials with Permutation Symmetries and the Orbifold Euler Characteristic	1
On q-Isomonodromic Deformations and q-Nekrasov Functions	1
The Gauge Group and Perturbation Semigroup of an Operator System	1
Small Gauge Transformations and Universal Geometry in Heterotic Theories	1
Reduction of the 2D Toda Hierarchy and Linear Hodge Integrals	1
Second-Order Differential Operators in the Limit Circle Case	1
Collapsing Geometry with Ricci Curvature Bounded Below and Ricci Flow Smoothing	1
ompleteness of SoV Representation for SL(2,R) Spin Chains	1
Classification of the Orthogonal Separable Webs for the Hamilton-Jacobi and Klein-Gordon Equations on 3-Dimensional Minkowski Space	1
Snake Graphs from Triangulated Orbifolds	1
oundary One-Point Function of the Rational Six-Vertex Model with Partial Domain Wall Boundary Conditions: Explicit Formulas and Scaling Properties	1
A Map Between Moduli Spaces of Connections	1
An Expansion Formula for Decorated Super-Teichmüller Spaces	1
An Analog of Leclerc's Conjecture for Bases of Quantum Cluster Algebras	1
Minimal Kinematics: An All k and n Peek into Trop<sup>+</sup>G(k,n)	1
The Holonomy Groupoids of Singularly Foliated Bundles	1
Positive Scalar Curvature due to the Cokernel of the Classifying Map	1
Generalized B-Opers	1
Motivic Donaldson-Thomas Invariants of Parabolic Higgs Bundles and Parabolic Connections on a Curve	1
Defining Pointwise Lower Scalar Curvature Bounds for C<sup>0</sup> Metrics with Regularization by Ricci Flow	1
Ladder Operators and Hidden Algebras for Shape Invariant Nonseparable and Nondiagonalizable Modelswith Quadratic Complex Interaction. II. Three-Dimensional Model	1
Unrestricted Quantum Moduli Algebras. I. The Case of Punctured Spheres	1
Tensors and Algebras: An Algebraic Spacetime Interpretation for Tensor Models	1
Exceptional Legendre Polynomials and Confluent Darboux Transformations	1
Equivariant Coarse (Co-)Homology Theories	1
A Unified View on Geometric Phases and Exceptional Points in Adiabatic Quantum Mechanics	1
Gauss Hypergeometric Representations of the Ferrers Function of the Second Kind	1
Cluster Structures and Subfans in Scattering Diagrams	1
Simple Vectorial Lie Algebras in Characteristic 2 and their Superizations	1
How Discrete Spectrum and Resonances Influence the Asymptotics of the Toda Shock Wave	1
New Techniques for Worldline Integration	1
Affine Kac-Moody Algebras and Tau-Functions for the Drinfeld-Sokolov Hierarchies: the Matrix-Resolvent Method	1
Diagonal Tau-Functions of 2D Toda Lattice Hierarchy, Connected $(n,m)$-Point Functions, and Double Hurwitz Numbers	1
Reduced Forms of Linear Differential Systems and the Intrinsic Galois-Lie Algebra of Katz	1
Dihedral Rigidity of Parabolic Polyhedrons in Hyperbolic Spaces	1
Moduli Space for Kink Collisions with Moving Center of Mass	1
A Fock Model and the Segal-Bargmann Transform for the Minimal Representation of the Orthosymplectic Lie Superalgebra osp(m,2|2n)	1
Non-Semisimple TQFT's and BPS q-Series	1
Feature Matching and Heat Flow in Centro-Affine Geometry	1
Stationary Flows Revisited	1
Koenigs Theorem and Superintegrable Liouville Metrics	1
An Introduction to Motivic Feynman Integrals	1
Space Curves and Solitons of the KP Hierarchy. I. The l-th Generalized KdV Hierarchy	1
Some Algebraic Aspects of the Inhomogeneous Six-Vertex Model	1
Witten-Reshetikhin-Turaev Invariants, Homological Blocks, and Quantum Modular Forms for Unimodular Plumbing H-Graphs	1
NNSC-Cobordism of Bartnik Data in High Dimensions	1
An Infinite-Dimensional q-Module Obtained from the q-Shuffle Algebra for Affine sl<sub>2</sub>	1
Rank 4 Nichols Algebras of Pale Braidings	1
Exponential Formulas, Normal Ordering and the Weyl-Heisenberg Algebra	1
Knot Complement, ADO Invariants and their Deformations for Torus Knots	1
Note on the Retarded van der Waals Potential within the Dipole Approximation	1
Noncommutative Residue and Canonical Trace on Noncommutative Tori. Uniqueness Results	1
De Finetti Theorems for the Unitary Dual Group	1
Post-Lie Magnus Expansion and BCH-Recursion	1

Scaling Limits for the Gibbs States on Distance-Regular Graphs with Classical Parameters	1
Multidimensional Matrix Inversions and Elliptic Hypergeometric Series on Root Systems	1
Nudged Elastic Bands and Lightly Bound Skyrmions	1
The Differential Geometry of the Orbit Space of Extended Affine Jacobi Group A<sub>1</sub>	1
The B<sub>2</sub> Harmonic Oscillator with Reflections and Superintegrability	1
Markovianity and the Thompson Group F	1
Double Quiver Gauge Theory and BPS/CFT Correspondence	1
Difference Equation for Quintic 3-Fold	1
Yangian of the General Linear Lie Superalgebra	1
Spectra of Compact Quotients of the Oscillator Group	1
Some Useful Operators on Differential Forms on Galilean and Carrollian Spacetimes	1
Inscribed Radius Bounds for Lower Ricci Bounded Metric Measure Spaces with Mean Convex Boundary	1
On the Quantum K-Theory of the Quintic	1
Differential Antisymmetric Infinitesimal Bialgebras, Coherent Derivations and Poisson Bialgebras	1
Counting Periodic Trajectories of Finsler Billiards	1
Non-Stationary Ruijsenaars Functions for κ=t−1/N and Intertwining Operators of Ding-Iohara-Miki Algebra	1
Manin Matrices for Quadratic Algebras	1
Modified Green-Hyperbolic Operators	1
Branching Rules for Koornwinder Polynomials with One Column Diagrams and Matrix Inversions	1
Solvable Lie Algebras of Vector Fields and a Lie's Conjecture	1
Torus-Equivariant Chow Rings of Quiver Moduli	1
Invariant Differential Forms on Complexes of Graphs and Feynman Integrals	1
The Clebsch-Gordan Rule for U(sl<sub>2</sub>), the Krawtchouk Algebras and the Hamming Graphs	1
Noncolliding Macdonald Walks with an Absorbing Wall	1
On the Abuaf-Ueda Flop via Non-Commutative Crepant Resolutions	1
Reddening Sequences for Banff Quivers and the Class P	1
Virtual Classes for the Working Mathematician	1
Smooth Multisoliton Solutions of a 2-Component Peakon System with Cubic Nonlinearity	1
Real Liouvillian Extensions of Partial Differential Fields	1
Representations of Quantum Affine Algebras in their R-Matrix Realization	1
Mixed vs Stable Anti-Yetter-Drinfeld Contramodules	1
Parameter Permutation Symmetry in Particle Systems and Random Polymers	1
On the 2-Systole of Stretched Enough Positive Scalar Curvature Metrics on S<sup>2</sup> times S<sup>2</sup>	1
Geometric Models and Variation of Weights on Moduli of Parabolic Higgs Bundles over the Riemann Sphere: a Case Study	1
Computing Regular Meromorphic Differential Forms via Saito's Logarithmic Residues	1
Symmetries of the Simply-Laced Quantum Connections and Quantisation of Quiver Varieties	1
On the Notion of Noncommutative Submanifold	1
Bach Flow on Homogeneous Products	1
Deformed $w_{1+\infty}$ Algebras in the Celestial CFT	1
Quantum Toroidal Comodule Algebra of Type A<sub>n−1</sub> and Integrals of Motion	1
Ladder Operators and Hidden Algebras for Shape Invariant Nonseparable and Nondiagonalizable Modelswith Quadratic Complex Interaction. I. Two-Dimensional Model	1
A Composite Order Generalization of Modular Moonshine	1
Permutation-Equivariant Quantum K-Theory X. Quantum Hirzebruch-Riemann-Roch in Genus 0	1