Symmetry Integrability and Geometry-Methods and Applications

Papers
(The median citation count of Symmetry Integrability and Geometry-Methods and Applications is 0. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-04-01 to 2025-04-01.)
ArticleCitations
Counting Curves with Tangencies15
Positive Intermediate Ricci Curvature on Fibre Bundles15
Identity between Restricted Cauchy Sums for the $q $-Whittaker and Skew Schur Polynomials10
The Laplace-Beltrami Operator on the Surface of the Ellipsoid8
Intertwinings for Continuum Particle Systems: an Algebraic Approach6
A Note on BKP for the Kontsevich Matrix Model with Arbitrary Potential5
Compatible Poisson Brackets Associated with Elliptic Curves in $G(2,5)$5
Scalar Curvature Rigidity of Warped Product Metrics5
Asymptotic Expansions of Finite Hankel Transforms and the Surjectivity of Convolution Operators5
Degree-One Rational Cherednik Algebras for the Symmetric Group4
On Scalar and Ricci Curvatures4
Oriented Closed Polyhedral Maps and the Kitaev Model4
The Primitive Derivation and Discrete Integrals4
Unrestricted Quantum Moduli Algebras, II: Noetherianity and Simple Fraction Rings at Roots of 14
New Techniques for Worldline Integration3
The Racah Algebra of Rank 2: Properties, Symmetries and Representation3
Linear Z<sub>2</sub><sup>n</sup>-Manifolds and Linear Actions3
Locality and General Vacua in Quantum Field Theory3
Generalized Gross-Neveu Universality Class with Non-Abelian Symmetry3
Minimal Kinematics: An All k and n Peek into Trop<sup>+</sup>G(k,n)3
Geometry of Gauged Skyrmions2
anar Orthogonal Polynomials as Type I Multiple Orthogonal Polynomials2
Determinantal Formulas for Exceptional Orthogonal Polynomials2
On the Monodromy Invariant Hermitian Form for A-Hypergeometric Systems2
The Generalized Fibonacci Oscillator as an Open Quantum System2
Optimal Transport and Generalized Ricci Flow2
Relationships Between Hyperelliptic Functions of Genus 2 and Elliptic Functions2
On the Convex Pfaff-Darboux Theorem of Ekeland and Nirenberg2
On the Fourth-Order Lattice Gel'fand-Dikii Equations2
Index Theory of Chiral Unitaries and Split-Step Quantum Walks2
Higher Braidings of Diagonal Type2
Shuffle Algebras and Non-Commutative Probability for Pairs of Faces2
A Composite Order Generalization of Modular Moonshine2
Universal Structures in C-Linear Enumerative Invariant Theories2
Isomonodromic Deformations Along the Caustic of a Dubrovin-Frobenius Manifold2
On the Total CR Twist of Transversal Curves in the 3-Sphere2
Markovianity and the Thompson Group F2
Nudged Elastic Bands and Lightly Bound Skyrmions2
The Generalized Cluster Complex: Refined Enumeration of Faces and Related Parking Spaces2
Resolvent Trace Formula and Determinants of n Laplacians on Orbifold Riemann Surfaces2
Unrestricted Quantum Moduli Algebras. I. The Case of Punctured Spheres2
A Quantum 0-infty Law2
Connection Problem for an Extension of q-Hypergeometric Systems2
Resurgence in the Transition Region: The Incomplete Gamma Function2
A Pseudodifferential Analytic Perspective on Getzler's Rescaling2
The Asymptotic Structure of the Centred Hyperbolic 2-Monopole Moduli Space2
Equivariant Coarse (Co-)Homology Theories2
Computation of Weighted Bergman Inner Products on Bounded Symmetric Domains and Restriction to Subgroups1
Spatial Markov Semigroups Admit Hudson-Parthasarathy Dilations1
Celestial w1+∞ Symmetries from Twistor Space1
Talbot Effect for the Manakov System on the Torus1
From Twistor-Particle Models to Massive Amplitudes1
Three Examples in the Dynamical Systems Theory1
On the Quantum K-Theory of the Quintic1
Some Useful Operators on Differential Forms on Galilean and Carrollian Spacetimes1
Taking Music Seriously: on the Dynamics of 'Mathemusical' Research with a Focus on Hexachordal Theorems1
Adiabatic Limit, Theta Function, and Geometric Quantization1
Initial-Boundary Value Problem for the Maxwell-Bloch Equations with an Arbitrary Inhomogeneous Broadening and Periodic Boundary Function1
Interplay between Opers, Quantum Curves, WKB Analysis, and Higgs Bundles1
Twistor Theory of Dancing Paths1
The Clebsch-Gordan Rule for U(sl<sub>2</sub>), the Krawtchouk Algebras and the Hamming Graphs1
Non-Integrability of the Sasano System of Type $D_5^{(1)}$ and Stokes Phenomena1
The Weighted Ambient Metric1
Negative Times of the Davey-Stewartson Integrable Hierarchy1
Tau Function and Moduli of Meromorphic Quadratic Differential1
q-Selberg Integrals and Koornwinder Polynomials1
Darboux Transformations for Orthogonal Differential Systems and Differential Galois Theory1
The Modified Toda Hierarchy1
oundary One-Point Function of the Rational Six-Vertex Model with Partial Domain Wall Boundary Conditions: Explicit Formulas and Scaling Properties1
Geometry of Integrable Systems Related to the Restricted Grassmannia1
Bimodule Connections for Relative Line Modules over the Irreducible Quantum Flag Manifolds1
Twisted Traces and Positive Forms on Generalized q-Weyl Algebras1
The Cobb-Douglas Production Function and the Old Bowley's Law1
Topology of Almost Complex Structures on Six-Manifolds1
Semiclassical Trans-Series from the Perturbative Hopf-Algebraic Dyson-Schwinger Equations: phi3 QFT in 6 Dimensions1
On Relative Tractor Bundles1
Modular Ordinary Differential Equations on SL(2,Z) of Third Order and Applications1
Virtual Classes of Representation Varieties of Upper Triangular Matrices via Topological Quantum Field Theories1
The Generalized Lipkin-Meshkov-Glick Model and the Modified Algebraic Bethe Ansatz1
On the Hill Discriminant of Lamé's Differential Equation1
On Invariants of Constant $p$-Mean Curvature Surfaces in the Heisenberg Group $H_1$1
Exponential Networks, WKB and Topological String1
Differential Equations for Approximate Solutions of Painlevé Equations: Application to the Algebraic Solutions of the Painlevé-III $({\rm D}_7)$ Equation1
Yamabe Invariants, Homogeneous Spaces, and Rational Complex Surfaces1
A $3 \times 3$ Lax Form for the $q$-Painlevé Equation of Type $E_6$1
Deformed $w_{1+\infty}$ Algebras in the Celestial CFT1
Algebraic Structures on Typed Decorated Rooted Trees1
Singularities of Schubert Varieties within a Right Cell1
Knots and Their Related $q$-Series1
Maximal Discrete Subgroups in Unitary Groups of Operator Algebras1
Para-Bannai-Ito Polynomials1
Spinors, Twistors and Classical Geometry1
Spinors in Five-Dimensional Contact Geometry1
Post-Lie Magnus Expansion and BCH-Recursion1
The Gauge Group and Perturbation Semigroup of an Operator System1
Information Geometry, Jordan Algebras, and a Coadjoint Orbit-Like Construction1
A Weierstrass Representation Formula for Discrete Harmonic Surfaces1
On Generalized WKB Expansion of Monodromy Generating Function1
Moduli Space of Factorized Ramified Connections and Generalized Isomonodromic Deformation1
Field Calculus: Quantum and Statistical Field Theory without the Feynman Diagrams1
Non-Semisimple TQFT's and BPS q-Series1
Frobenius Monoidal Functors of Dijkgraaf-Witten Categories and Rigid Frobenius Algebras1
Painlevé-III Monodromy Maps Under the $D_6\to D_8$ Confluence and Applications to the Large-Parameter Asymptotics of Rational Solutions1
Solutions of Tetrahedron Equation from Quantum Cluster Algebra Associated with Symmetric Butterfly Quiver1
On a Transformation of Triple $q$-Series and Rogers-Hecke Type Series1
A Skyrme Model with Novel Chiral Symmetry Breaking1
A Decomposition of Twisted Equivariant K-Theory1
Spin<sup>h</sup> Manifolds1
How Discrete Spectrum and Resonances Influence the Asymptotics of the Toda Shock Wave1
Novikov-Veselov Symmetries of the Two-Dimensional O(N) Sigma Model1
Pathlike Co/Bialgebras and their Antipodes with Applications to Bi- and Hopf Algebras Appearing in Topology, Number Theory and Physics1
Quantization of Calogero-Painlevé System and Multi-Particle Quantum Painlevé Equations II-VI1
Mapping Class Group Representations Derived from Stated Skein Algebras1
Algebras of Non-Local Screenings and Diagonal Nichols Algebras1
A Note on the Spectrum of Magnetic Dirac Operators1
Linear Independence of Generalized Poincaré Series for Anti-de Sitter 3-Manifolds1
Polynomial Solutions Modulo $p^s$ of Differential KZ and Dynamical Equations1
Functional Relations on Anisotropic Potts Models: from Biggs Formula to the Tetrahedron Equation0
A Note on the Equidistribution of 3-Colour Partitions0
Rooted Clusters for Graph LP Algebras0
Symmetry Breaking Differential Operators for Tensor Products of Spinorial Representations0
The Geometry of Generalised Spin${}^r$ Spinors on Projective Spaces0
Tridendriform Structures0
Nonlinear Isocapacitary Concepts of Mass in 3-Manifolds with Nonnegative Scalar Curvature0
Rogers-Ramanujan Type Identities Involving Double Sums0
Bilinear Expansions of KP Multipair Correlators in BKP Correlators0
Non-Existence of S-Integrable Three-Point Partial Difference Equations in the Lattice Plane0
A Combinatorial Description of Certain Polynomials Related to the XYZ Spin Chain. II. The Polynomials p<sub>n</sub>0
Real Forms of Holomorphic Hamiltonian Systems0
Spherical Induced Ensembles with Symplectic Symmetry0
Separation of Variables, Quasi-Trigonometric r-Matrices and Generalized Gaudin Models0
A Cable Knot and BPS-Series0
$R$-Matrix Presentation of Quantum Affine Superalgebra for Type $\mathfrak{osp}(2m+1|2n)$0
Moduli Spaces for the Fifth Painlevé Equation0
A Note about Isotopy and Concordance of Positive Scalar Curvature Metrics on Compact Manifolds with Boundary0
Perturbative and Geometric Analysis of the Quartic Kontsevich Model0
A New (But Very Nearly Old) Proof of the Rogers-Ramanujan Identities0
Smooth Solutions of the tt* Equation: A Numerical Aided Case Study0
K-Theoretic Descendent Series for Hilbert Schemes of Points on Surfaces0
Simplified Forms of the Transition Probabilities of the Two-Species ASEP with Some Initial Orders of Particles0
Classification of the Orthogonal Separable Webs for the Hamilton-Jacobi and Klein-Gordon Equations on 3-Dimensional Minkowski Space0
Lie Admissible Triple Algebras: The Connection Algebra of Symmetric Spaces0
Moduli Space for Kink Collisions with Moving Center of Mass0
Lagrangian Multiform for Cyclotomic Gaudin Models0
Asymptotics of the Humbert Function $\Psi_1$ for Two Large Arguments0
Packing Densities of Delzant and Semitoric Polygons0
Derivations and Central Extensions of Symmetric Modular Lie Algebras and Superalgebras0
Computation of Infinitesimals for a Group Action on a Multispace of One Independent Variable0
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 Divisors0
A General Dixmier Trace Formula for the Density of States on Open Manifolds0
The Holonomy Groupoids of Singularly Foliated Bundles0
Real Liouvillian Extensions of Partial Differential Fields0
Universality of Descendent Integrals over Moduli Spaces of Stable Sheaves on K3 Surfaces0
Moving Frames: Difference and Differential-Difference Lagrangians0
Rigidity and Non-Rigidity of $\mathbb{H}^n/\mathbb{Z}^{n-2}$ with Scalar Curvature Bounded from Below0
Clean Single-Valued Polylogarithms0
Comomentum Sections and Poisson Maps in Hamiltonian Lie Algebroids0
Spectral Asymmetry and Index Theory on Manifolds with Generalised Hyperbolic Cusps0
Rank 2 Bundles with Meromorphic Connections with Poles of Poincaré Rank 10
Resurgent Structure of the Topological String and the First Painlevé Equation0
Smooth Multisoliton Solutions of a 2-Component Peakon System with Cubic Nonlinearity0
Multidimensional Nonhomogeneous Quasi-Linear Systems and Their Hamiltonian Structure0
Sobolev Lifting over Invariants0
Compatible $E$-Differential Forms on Lie Algebroids over (Pre-)Multisymplectic Manifolds0
Deformation of the Weighted Scalar Curvature0
First Cohomology with Trivial Coefficients of All Unitary Easy Quantum Group Duals0
Kernel Function, $q$-Integral Transformation and $q$-Heun Equations0
Quantum Modularity for a Closed Hyperbolic 3-Manifold0
The Clifford Algebra Bundle on Loop Space0
Nonsymmetric Macdonald Superpolynomials0
Tau Functions from Joyce Structures0
Exact Correlations in Topological Quantum Chains0
Generically, Arnold-Liouville Systems Cannot be Bi-Hamiltonian0
Cohomology of sl<sub>3</sub> and gl<sub>3</sub> with Coefficients in Simple Modules and Weyl Modules in Positive Characteristics0
The Ooguri-Vafa Space as a Moduli Space of Framed Wild Harmonic Bundles0
McMahon-Type Asymptotic Expansions of the Zeros of the Coulomb Wave Functions0
Algebraic Bethe Ansatz for the Open XXZ Spin Chain with Non-Diagonal Boundary Terms via $U_{\mathfrak{q}}\mathfrak{sl}_2$ Symmetry0
A Generalization of Zwegers' μ-Function According to the q -Hermite-Weber Difference Equation0
Elliptic Stable Envelopes for Certain Non-Symplectic Varieties and Dynamical $R$-Matrices for Superspin Chains from the Bethe/Gauge Correspondence0
ompleteness of SoV Representation for SL(2,R) Spin Chains0
mKdV-Related Flows for Legendrian Curves in the Pseudohermitian 3-Sphere0
The Lattice Sine-Gordon Equation as a Superposition Formula for an NLS-Type System0
The Higher-Rank Askey-Wilson Algebra and Its Braid Group Automorphisms0
Generalized Yang Poisson Models on Canonical Phase Space0
Color-Dressed Generalized Biadjoint Scalar Amplitudes: Local Planarity0
$\mathfrak{gl}(3)$ Polynomial Integrable System: Different Faces of the 3-Body/${\mathcal A}_2$ Elliptic Calogero Model0
Algebraic Complete Integrability of the $a_4^{(2)}$ Toda Lattice0
Orthogonal Polynomial Stochastic Duality Functions for Multi-Species SEP(2j) and Multi-Species IRW0
Separation of Variables and Superintegrability on Riemannian Coverings0
Shifted Substitution in Non-Commutative Multivariate Power Series with a View Toward Free Probability0
The Wehrheim-Woodward Category of Linear Canonical Relations between $G$-Spaces0
A Laurent Phenomenon for the Cayley Plane0
Stationary Flows Revisited0
CYT and SKT Metrics on Compact Semi-Simple Lie Groups0
on-Stationary Difference Equation and Affine Laumon Space: Quantization of Discrete Painlevé Equation0
Mass from an Extrinsic Point of View0
Lerch $\Phi$ Asymptotics0
Convolution Algebras of Double Groupoids and Strict 2-Groups0
Scaling Limits for the Gibbs States on Distance-Regular Graphs with Classical Parameters0
Refined and Generalized hat Z Invariants for Plumbed 3-Manifolds0
A Novel Potential Featuring Off-Center Circular Orbits0
Lax Pair for a Novel Two-Dimensional Lattice0
A New Class of Integrable Maps of the Plane: Manin Transformations with Involution Curves0
Integrable Semi-Discretization for a Modified Camassa-Holm Equation with Cubic Nonlinearity0
Deformed Quantum Phase Spaces, Realizations, Star Products and Twists0
Homotopy Invariance of the Space of Metrics with Positive Scalar Curvature on Manifolds with Singularities0
Quantum Toroidal Comodule Algebra of Type A<sub>n−1</sub> and Integrals of Motion0
Big and Nef Tautological Vector Bundles over the Hilbert Scheme of Points0
Compact Locally Conformally Pseudo-Kähler Manifolds with Essential Conformal Transformations0
Experimenting with the Garsia-Milne Involution Principle0
Quantum Modular $\widehat Z{}^G$-Invariants0
Matrix Spherical Functions for $(\mathrm{SU}(n+m),\mathrm{S}(\mathrm{U}(n)\times \mathrm{U}(m)))$: Two Specific Classes0
Complete Asymptotic Expansions for the Normalizing Constants of High-Dimensional Matrix Bingham and Matrix Langevin Distributions0
Combinatorial Interpretations of Cranks of Overpartitions and Partitions without Repeated Odd Parts0
Realizations of the Extended Snyder Model0
DG-Enhanced Hecke and KLR Algebras0
Lagrangian Surplusection Phenomena0
Mode Stability of Hermitian Instantons0
Symplectic Differential Reduction Algebras and Generalized Weyl Algebras0
Doubly Exotic Nth-Order Superintegrable Classical Systems Separating in Cartesian Coordinates0
Complementary Modules of Weierstrass Canonical Forms0
Stable Kink-Kink and Metastable Kink-Antikink Solutions0
Harmonic Metrics for Higgs Bundles of Rank 3 in the Hitchin Section0
Unitarity of the SoV Transform for $\mathrm{SL}(2,\mathbb C)$ Spin Chains0
On the Higher-Rank Askey-Wilson Algebras0
Multiplicative Characters and Gaussian Fluctuation Limits0
Hodge Diamonds of the Landau-Ginzburg Orbifolds0
An Atiyah Sequence for Noncommutative Principal Bundles0
An Askey-Wilson Algebra of Rank 20
Fay Identities of Pfaffian Type for Hyperelliptic Curves0
Diagonal Tau-Functions of 2D Toda Lattice Hierarchy, Connected $(n,m)$-Point Functions, and Double Hurwitz Numbers0
On the Picard Group of the Moduli Space of Curves via $r$-Spin Structures0
Reduction of $L_\infty$-Algebras of Observables on Multisymplectic Manifolds0
From pp-Waves to Galilean Spacetimes0
Noncolliding Macdonald Walks with an Absorbing Wall0
Reduction of the 2D Toda Hierarchy and Linear Hodge Integrals0
Numerators in Parametric Representations of Feynman Diagrams0
Manifolds of Lie-Group-Valued Cocycles and Discrete Cohomology0
Equivariant Tilting Modules, Pfaffian Varieties and Noncommutative Matrix Factorizations0
Modified Green-Hyperbolic Operators0
On Some Special Cases of Gaiotto's Positivity Conjecture0
On Pre-Novikov Algebras and Derived Zinbiel Variety0
Boundary Value Problems for Dirac Operators on Graphs0
A Revisit to the ABS H2 Equation0
Proof of Two Multivariate $q$-Binomial Sums Arising in Gromov-Witten Theory0
Scale Invariant Scattering and Bernoulli Numbers0
Notes on Worldsheet-Like Variables for Cluster Configuration Spaces0
Moving NS Punctures on Super Spheres0
Centralizers of Rank One in the First Weyl Algebra0
Character Vectors of Strongly Regular Vertex Operator Algebras0
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