Symmetry Integrability and Geometry-Methods and Applications

Article	Citations
Identity between Restricted Cauchy Sums for the $q $-Whittaker and Skew Schur Polynomials	15
Positive Intermediate Ricci Curvature on Fibre Bundles	15
The Laplace-Beltrami Operator on the Surface of the Ellipsoid	10
Intertwinings for Continuum Particle Systems: an Algebraic Approach	8
Scalar Curvature Rigidity of Warped Product Metrics	6
Compatible Poisson Brackets Associated with Elliptic Curves in $G(2,5)$	5
Asymptotic Expansions of Finite Hankel Transforms and the Surjectivity of Convolution Operators	5
A Note on BKP for the Kontsevich Matrix Model with Arbitrary Potential	5
From Orthocomplementations to Locality	4
The Primitive Derivation and Discrete Integrals	4
Oriented Closed Polyhedral Maps and the Kitaev Model	4
Degree-One Rational Cherednik Algebras for the Symmetric Group	4
Unrestricted Quantum Moduli Algebras, II: Noetherianity and Simple Fraction Rings at Roots of 1	4
On Scalar and Ricci Curvatures	3
Linear Z<sub>2</sub><sup>n</sup>-Manifolds and Linear Actions	3
A Spectral Triple for a Solenoid Based on the Sierpinski Gasket	3
Locality and General Vacua in Quantum Field Theory	3
Prescribed Riemannian Symmetries	3
Generalized Gross-Neveu Universality Class with Non-Abelian Symmetry	3
Index Theory of Chiral Unitaries and Split-Step Quantum Walks	2
Resolvent Trace Formula and Determinants of n Laplacians on Orbifold Riemann Surfaces	2
New Techniques for Worldline Integration	2
The Asymptotic Structure of the Centred Hyperbolic 2-Monopole Moduli Space	2
anar Orthogonal Polynomials as Type I Multiple Orthogonal Polynomials	2
A Composite Order Generalization of Modular Moonshine	2

Connection Problem for an Extension of q-Hypergeometric Systems	2
Isomonodromic Deformations Along the Caustic of a Dubrovin-Frobenius Manifold	2
Equivariant Coarse (Co-)Homology Theories	2
The Generalized Cluster Complex: Refined Enumeration of Faces and Related Parking Spaces	2
Minimal Kinematics: An All k and n Peek into Trop<sup>+</sup>G(k,n)	2
On the Fourth-Order Lattice Gel'fand-Dikii Equations	2
Universal Structures in C-Linear Enumerative Invariant Theories	2
Unrestricted Quantum Moduli Algebras. I. The Case of Punctured Spheres	2
A Quantum 0-infty Law	2
Determinantal Formulas for Exceptional Orthogonal Polynomials	2
Resurgence in the Transition Region: The Incomplete Gamma Function	2
Nudged Elastic Bands and Lightly Bound Skyrmions	2
Shuffle Algebras and Non-Commutative Probability for Pairs of Faces	2
Higher Braidings of Diagonal Type	2
The Racah Algebra of Rank 2: Properties, Symmetries and Representation	2
Geometry of Gauged Skyrmions	2
On the Convex Pfaff-Darboux Theorem of Ekeland and Nirenberg	2
Relationships Between Hyperelliptic Functions of Genus 2 and Elliptic Functions	2
On the Monodromy Invariant Hermitian Form for A-Hypergeometric Systems	2
The Generalized Fibonacci Oscillator as an Open Quantum System	2
Markovianity and the Thompson Group F	2
Deformed $w_{1+\infty}$ Algebras in the Celestial CFT	2
oundary One-Point Function of the Rational Six-Vertex Model with Partial Domain Wall Boundary Conditions: Explicit Formulas and Scaling Properties	1
Information Geometry, Jordan Algebras, and a Coadjoint Orbit-Like Construction	1
Moduli Space of Factorized Ramified Connections and Generalized Isomonodromic Deformation	1
Twistor Theory of Dancing Paths	1
The Cobb-Douglas Production Function and the Old Bowley's Law	1
Yamabe Invariants, Homogeneous Spaces, and Rational Complex Surfaces	1
An Introduction to Motivic Feynman Integrals	1
Bimodule Connections for Relative Line Modules over the Irreducible Quantum Flag Manifolds	1
Geometry of Integrable Systems Related to the Restricted Grassmannia	1
The Weighted Ambient Metric	1
Interplay between Opers, Quantum Curves, WKB Analysis, and Higgs Bundles	1
Some Useful Operators on Differential Forms on Galilean and Carrollian Spacetimes	1
Linear Independence of Generalized Poincaré Series for Anti-de Sitter 3-Manifolds	1
Taking Music Seriously: on the Dynamics of 'Mathemusical' Research with a Focus on Hexachordal Theorems	1
Knots and Their Related $q$-Series	1
On Invariants of Constant $p$-Mean Curvature Surfaces in the Heisenberg Group $H_1$	1
q-Selberg Integrals and Koornwinder Polynomials	1
A $3 \times 3$ Lax Form for the $q$-Painlevé Equation of Type $E_6$	1
The Clebsch-Gordan Rule for U(sl<sub>2</sub>), the Krawtchouk Algebras and the Hamming Graphs	1
A Decomposition of Twisted Equivariant K-Theory	1
Spin<sup>h</sup> Manifolds	1
Polynomial Solutions Modulo $p^s$ of Differential KZ and Dynamical Equations	1
On a Transformation of Triple $q$-Series and Rogers-Hecke Type Series	1
Para-Bannai-Ito Polynomials	1
A Pseudodifferential Analytic Perspective on Getzler's Rescaling	1
The Generalized Lipkin-Meshkov-Glick Model and the Modified Algebraic Bethe Ansatz	1
Celestial w1+∞ Symmetries from Twistor Space	1
The Gauge Group and Perturbation Semigroup of an Operator System	1

On Generalized WKB Expansion of Monodromy Generating Function	1
A Weierstrass Representation Formula for Discrete Harmonic Surfaces	1
On the Quantum K-Theory of the Quintic	1
The Modified Toda Hierarchy	1
Non-Semisimple TQFT's and BPS q-Series	1
Resurgence of Refined Topological Strings and Dual Partition Functions	1
Semiclassical Trans-Series from the Perturbative Hopf-Algebraic Dyson-Schwinger Equations: phi3 QFT in 6 Dimensions	1
Maximal Discrete Subgroups in Unitary Groups of Operator Algebras	1
A Skyrme Model with Novel Chiral Symmetry Breaking	1
Singularities of Schubert Varieties within a Right Cell	1
On the Hill Discriminant of Lamé's Differential Equation	1
Post-Lie Magnus Expansion and BCH-Recursion	1
Exponential Networks, WKB and Topological String	1
From Twistor-Particle Models to Massive Amplitudes	1
On Relative Tractor Bundles	1
Tau Function and Moduli of Meromorphic Quadratic Differential	1
Novikov-Veselov Symmetries of the Two-Dimensional O(N) Sigma Model	1
Computation of Weighted Bergman Inner Products on Bounded Symmetric Domains and Restriction to Subgroups	1
Mapping Class Group Representations Derived from Stated Skein Algebras	1
Negative Times of the Davey-Stewartson Integrable Hierarchy	1
Modular Ordinary Differential Equations on SL(2,Z) of Third Order and Applications	1
Differential Equations for Approximate Solutions of Painlevé Equations: Application to the Algebraic Solutions of the Painlevé-III $({\rm D}_7)$ Equation	1
Spinors in Five-Dimensional Contact Geometry	1
Topology of Almost Complex Structures on Six-Manifolds	1
Spatial Markov Semigroups Admit Hudson-Parthasarathy Dilations	1
Field Calculus: Quantum and Statistical Field Theory without the Feynman Diagrams	1
Twisted Traces and Positive Forms on Generalized q-Weyl Algebras	1
Virtual Classes of Representation Varieties of Upper Triangular Matrices via Topological Quantum Field Theories	1
Counting Curves with Tangencies	1
A Note on the Spectrum of Magnetic Dirac Operators	1
Mixed vs Stable Anti-Yetter-Drinfeld Contramodules	1
Pathlike Co/Bialgebras and their Antipodes with Applications to Bi- and Hopf Algebras Appearing in Topology, Number Theory and Physics	1
How Discrete Spectrum and Resonances Influence the Asymptotics of the Toda Shock Wave	1
Frobenius Monoidal Functors of Dijkgraaf-Witten Categories and Rigid Frobenius 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
Adiabatic Limit, Theta Function, and Geometric Quantization	1
Quantization of Calogero-Painlevé System and Multi-Particle Quantum Painlevé Equations II-VI	1
Algebraic Structures on Typed Decorated Rooted Trees	1
Spinors, Twistors and Classical Geometry	1
Algebras of Non-Local Screenings and Diagonal Nichols Algebras	1
Initial-Boundary Value Problem for the Maxwell-Bloch Equations with an Arbitrary Inhomogeneous Broadening and Periodic Boundary Function	1
Three Examples in the Dynamical Systems Theory	1
On the Total CR Twist of Transversal Curves in the 3-Sphere	1
Darboux Transformations for Orthogonal Differential Systems and Differential Galois Theory	1
Optimal Transport and Generalized Ricci Flow	1
A New (But Very Nearly Old) Proof of the Rogers-Ramanujan Identities	0
Spherical Induced Ensembles with Symplectic Symmetry	0
Rank 2 Bundles with Meromorphic Connections with Poles of Poincaré Rank 1	0
Compatible $E$-Differential Forms on Lie Algebroids over (Pre-)Multisymplectic Manifolds	0
A Cable Knot and BPS-Series	0
Complete Asymptotic Expansions for the Normalizing Constants of High-Dimensional Matrix Bingham and Matrix Langevin Distributions	0
A Generalization of Zwegers' μ-Function According to the q -Hermite-Weber Difference Equation	0
Clean Single-Valued Polylogarithms	0
Tridendriform Structures	0
Simplified Forms of the Transition Probabilities of the Two-Species ASEP with Some Initial Orders of Particles	0
Extrinsic Geometry and Linear Differential Equations	0
$\mathfrak{gl}(3)$ Polynomial Integrable System: Different Faces of the 3-Body/${\mathcal A}_2$ Elliptic Calogero Model	0
Spectral Asymmetry and Index Theory on Manifolds with Generalised Hyperbolic Cusps	0
Real Liouvillian Extensions of Partial Differential Fields	0
From pp-Waves to Galilean Spacetimes	0
A Laurent Phenomenon for the Cayley Plane	0
Integrable Semi-Discretization for a Modified Camassa-Holm Equation with Cubic Nonlinearity	0
A General Dixmier Trace Formula for the Density of States on Open Manifolds	0
Lie Admissible Triple Algebras: The Connection Algebra of Symmetric Spaces	0
Centralizers of Rank One in the First Weyl Algebra	0
How to Draw a Correlation Function	0
Asymptotics of the Humbert Function $\Psi_1$ for Two Large Arguments	0
The Holonomy Groupoids of Singularly Foliated Bundles	0
On Pre-Novikov Algebras and Derived Zinbiel Variety	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
Stringy Kähler Moduli for the Pfaffian-Grassmannian Correspondence	0
Szegő Kernel and Symplectic Aspects of Spectral Transform for Extended Spaces of Rational Matrices	0
Moving Frames: Difference and Differential-Difference Lagrangians	0
Universality of Descendent Integrals over Moduli Spaces of Stable Sheaves on K3 Surfaces	0
Big and Nef Tautological Vector Bundles over the Hilbert Scheme of Points	0
Tau Functions from Joyce Structures	0
Deformed Quantum Phase Spaces, Realizations, Star Products and Twists	0
Rank 4 Nichols Algebras of Pale Braidings	0
Generalized Yang Poisson Models on Canonical Phase Space	0
Matrix Spherical Functions for $(\mathrm{SU}(n+m),\mathrm{S}(\mathrm{U}(n)\times \mathrm{U}(m)))$: Two Specific Classes	0

The Ooguri-Vafa Space as a Moduli Space of Framed Wild Harmonic Bundles	0
Multidimensional Nonhomogeneous Quasi-Linear Systems and Their Hamiltonian Structure	0
A Revisit to the ABS H2 Equation	0
Doubly Exotic Nth-Order Superintegrable Classical Systems Separating in Cartesian Coordinates	0
Derivations and Central Extensions of Symmetric Modular Lie Algebras and Superalgebras	0
Elliptic Stable Envelopes for Certain Non-Symplectic Varieties and Dynamical $R$-Matrices for Superspin Chains from the Bethe/Gauge Correspondence	0
Combinatorial Interpretations of Cranks of Overpartitions and Partitions without Repeated Odd Parts	0
Color-Dressed Generalized Biadjoint Scalar Amplitudes: Local Planarity	0
Realizations of the Extended Snyder Model	0
Complementary Modules of Weierstrass Canonical Forms	0
Jacobi Beta Ensemble and $b$-Hurwitz Numbers	0
McMahon-Type Asymptotic Expansions of the Zeros of the Coulomb Wave Functions	0
Accessory Parameters for Four-Punctured Spheres	0
Quantum Modular $\widehat Z{}^G$-Invariants	0
ompleteness of SoV Representation for SL(2,R) Spin Chains	0
A Framework for Geometric Field Theories and their Classification in Dimension One	0
The Clifford Algebra Bundle on Loop Space	0
Quantum Modularity for a Closed Hyperbolic 3-Manifold	0
Non-Integrability of the Kepler and the Two-Body Problems on the Heisenberg Group	0
Generically, Arnold-Liouville Systems Cannot be Bi-Hamiltonian	0
Moduli Space for Kink Collisions with Moving Center of Mass	0
An Atiyah Sequence for Noncommutative Principal Bundles	0
Scaling Limits for the Gibbs States on Distance-Regular Graphs with Classical Parameters	0
Lerch $\Phi$ Asymptotics	0
Smooth Solutions of the tt* Equation: A Numerical Aided Case Study	0
On the Signature of a Path in an Operator Algebra	0
K-Theoretic Descendent Series for Hilbert Schemes of Points on Surfaces	0
The Lattice Sine-Gordon Equation as a Superposition Formula for an NLS-Type System	0
Parameter Permutation Symmetry in Particle Systems and Random Polymers	0
Algebraic Bethe Ansatz for the Open XXZ Spin Chain with Non-Diagonal Boundary Terms via $U_{\mathfrak{q}}\mathfrak{sl}_2$ Symmetry	0
Numerators in Parametric Representations of Feynman Diagrams	0
Proof of Two Multivariate $q$-Binomial Sums Arising in Gromov-Witten Theory	0
Computation of Infinitesimals for a Group Action on a Multispace of One Independent Variable	0
On Some Special Cases of Gaiotto's Positivity Conjecture	0
Invariants of Surfaces in Three-Dimensional Affine Geometry	0
Boundary Value Problems for Dirac Operators on Graphs	0
Hodge Diamonds of the Landau-Ginzburg Orbifolds	0
Reduction of $L_\infty$-Algebras of Observables on Multisymplectic Manifolds	0
Nonsymmetric Macdonald Superpolynomials	0
Lagrangian Surplusection Phenomena	0
Character Vectors of Strongly Regular Vertex Operator Algebras	0
Notes on Worldsheet-Like Variables for Cluster Configuration Spaces	0
Moduli Spaces for the Fifth Painlevé Equation	0
Nonlinear Isocapacitary Concepts of Mass in 3-Manifolds with Nonnegative Scalar Curvature	0
Symmetries in Riemann-Cartan Geometries	0
Kernel Function, $q$-Integral Transformation and $q$-Heun Equations	0
Separation of Variables and Superintegrability on Riemannian Coverings	0
Refined and Generalized hat Z Invariants for Plumbed 3-Manifolds	0
A Combinatorial Description of Certain Polynomials Related to the XYZ Spin Chain. II. The Polynomials p<sub>n</sub>	0
Lagrangian Multiform for Cyclotomic Gaudin Models	0
Bilinear Expansions of KP Multipair Correlators in BKP Correlators	0
Lax Pair for a Novel Two-Dimensional Lattice	0
Quantum Toroidal Comodule Algebra of Type A<sub>n−1</sub> and Integrals of Motion	0
Deformation of the Weighted Scalar Curvature	0
The Higher-Rank Askey-Wilson Algebra and Its Braid Group Automorphisms	0
Compact Locally Conformally Pseudo-Kähler Manifolds with Essential Conformal Transformations	0
Expansion for a Fundamental Solution of Laplace's Equation in Flat-Ring Cyclide Coordinates	0
A Note on the Equidistribution of 3-Colour Partitions	0
Noncolliding Macdonald Walks with an Absorbing Wall	0
Scalar Curvatures of Invariant Almost Hermitian Structures on Generalized Flag Manifolds	0
Non-Existence of S-Integrable Three-Point Partial Difference Equations in the Lattice Plane	0
Convolution Algebras of Double Groupoids and Strict 2-Groups	0
An Expansion Formula for Decorated Super-Teichmüller Spaces	0
Resurgent Structure of the Topological String and the First Painlevé Equation	0
A Note about Isotopy and Concordance of Positive Scalar Curvature Metrics on Compact Manifolds with Boundary	0
A New Class of Integrable Maps of the Plane: Manin Transformations with Involution Curves	0
Quantum Representation of Affine Weyl Groups and Associated Quantum Curves	0
Packing Densities of Delzant and Semitoric Polygons	0
Fay Identities of Pfaffian Type for Hyperelliptic Curves	0
Moving NS Punctures on Super Spheres	0
Recursion Relation for Toeplitz Determinants and the Discrete Painlevé II Hierarchy	0
Orthogonal Polynomial Stochastic Duality Functions for Multi-Species SEP(2j) and Multi-Species IRW	0
Equivariant Tilting Modules, Pfaffian Varieties and Noncommutative Matrix Factorizations	0
ADE Bundles over Surfaces	0
Comomentum Sections and Poisson Maps in Hamiltonian Lie Algebroids	0
Space Curves and Solitons of the KP Hierarchy. I. The l-th Generalized KdV Hierarchy	0
Unitarity of the SoV Transform for $\mathrm{SL}(2,\mathbb C)$ Spin Chains	0
mKdV-Related Flows for Legendrian Curves in the Pseudohermitian 3-Sphere	0
Shifted Substitution in Non-Commutative Multivariate Power Series with a View Toward Free Probability	0
Smooth Multisoliton Solutions of a 2-Component Peakon System with Cubic Nonlinearity	0
Rogers-Ramanujan Type Identities Involving Double Sums	0
Rigidity and Non-Rigidity of $\mathbb{H}^n/\mathbb{Z}^{n-2}$ with Scalar Curvature Bounded from Below	0
First Cohomology with Trivial Coefficients of All Unitary Easy Quantum Group Duals	0
Perturbative and Geometric Analysis of the Quartic Kontsevich Model	0
Rooted Clusters for Graph LP Algebras	0
Real Forms of Holomorphic Hamiltonian Systems	0
Symmetry Breaking Differential Operators for Tensor Products of Spinorial Representations	0
Reduction of the 2D Toda Hierarchy and Linear Hodge Integrals	0
CYT and SKT Metrics on Compact Semi-Simple Lie Groups	0
DG-Enhanced Hecke and KLR Algebras	0
Symplectic Differential Reduction Algebras and Generalized Weyl Algebras	0
Harmonic Metrics for Higgs Bundles of Rank 3 in the Hitchin Section	0
Diagonal Tau-Functions of 2D Toda Lattice Hierarchy, Connected $(n,m)$-Point Functions, and Double Hurwitz Numbers	0
Multiplicative Characters and Gaussian Fluctuation Limits	0
Cohomology of sl<sub>3</sub> and gl<sub>3</sub> with Coefficients in Simple Modules and Weyl Modules in Positive Characteristics	0