Symmetry Integrability and Geometry-Methods and Applications

Papers
(The TQCC of Symmetry Integrability and Geometry-Methods and Applications is 1. 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 2021-09-01 to 2025-09-01.)
ArticleCitations
The Generalized Cluster Complex: Refined Enumeration of Faces and Related Parking Spaces23
Geometry of Gauged Skyrmions12
On the Fourth-Order Lattice Gel'fand-Dikii Equations9
Determinantal Formulas for Exceptional Orthogonal Polynomials7
Topology of Almost Complex Structures on Six-Manifolds7
Connection Problem for an Extension of q-Hypergeometric Systems7
Differential Equations for Approximate Solutions of Painlevé Equations: Application to the Algebraic Solutions of the Painlevé-III $({\rm D}_7)$ Equation5
Nudged Elastic Bands and Lightly Bound Skyrmions5
Adiabatic Limit, Theta Function, and Geometric Quantization5
Identity between Restricted Cauchy Sums for the $q $-Whittaker and Skew Schur Polynomials4
On a Transformation of Triple $q$-Series and Rogers-Hecke Type Series4
Ricci-Flat Manifolds, Parallel Spinors and the Rosenberg Index3
Algebraic Structures on Typed Decorated Rooted Trees3
Twisted Fusion Products and Quantum Twisted $Q$-Systems3
Module Categories of the Generic Virasoro VOA and Quantum Groups3
Some Useful Operators on Differential Forms on Galilean and Carrollian Spacetimes3
Discrete Lagrangian Multiforms for ABS Equations I: Quad Equations3
The Morse-Smale Property of the Thurston Spine3
Polynomial Solutions Modulo $p^s$ of Differential KZ and Dynamical Equations3
Non-Stationary Difference Equation and Affine Laumon Space II: Quantum Knizhnik-Zamolodchikov Equation2
Symplectic Double Extensions for Restricted Quasi-Frobenius Lie (Super)Algebras2
Resurgence of Refined Topological Strings and Dual Partition Functions2
Monotone Cumulant-Moment Formula and Schröder Trees2
Strong Szegő Limit Theorems for Multi-Bordered, Framed, and Multi-Framed Toeplitz Determinants2
Unitarity of the SoV Transform for $\mathrm{SL}(2,\mathbb C)$ Spin Chains2
Compact Locally Conformally Pseudo-Kähler Manifolds with Essential Conformal Transformations2
Scaling Limits of Planar Symplectic Ensembles2
Fermionic Basis in Conformal Field Theory and Thermodynamic Bethe Ansatz for Excited States II2
Global Magni4icence, or: 4G Networks2
Tuning Co- and Contra-Variant Transforms: the Heisenberg Group Illustration2
A Minimum Property for Cuboidal Lattice Sums2
On Asymptotically Locally Hyperbolic Metrics with Negative Mass2
Knots, Perturbative Series and Quantum Modularity2
Deformations of Symmetric Simple Modular Lie (Super)Algebras2
The Exponential Map for Hopf Algebras2
Difference Operators and Duality for Trigonometric Gaudin and Dynamical Hamiltonians2
Twistors, Self-Duality, and Spin<sup>c</sup> Structures2
A Riemann-Hilbert Approach to Skew-Orthogonal Polynomials of Symplectic Type2
Seven Concepts Attributed to Siméon-Denis Poisson2
Double Quiver Gauge Theory and BPS/CFT Correspondence2
Locally Homogeneous Holomorphic Geometric Structures on Projective Varieties2
Functional Equations Solving Initial-Value Problems of Complex Burgers-Type Equations for One-Dimensional Log-Gases2
Unrestricted Quantum Moduli Algebras, II: Noetherianity and Simple Fraction Rings at Roots of 11
Geometric Transformations on Null Curves in the Anti-de Sitter 3-Space1
Kähler-Yang-Mills Equations and Vortices1
Differential Antisymmetric Infinitesimal Bialgebras, Coherent Derivations and Poisson Bialgebras1
Ladder Operators and Hidden Algebras for Shape Invariant Nonseparable and Nondiagonalizable Modelswith Quadratic Complex Interaction. I. Two-Dimensional Model1
Positive Intermediate Ricci Curvature on Fibre Bundles1
About a Family of ALF Instantons with Conical Singularities1
Modified Green-Hyperbolic Operators1
On q -Middle Convolution and q -Hypergeometric Equations1
Correlated Gromov-Witten Invariants1
Torsion Obstructions to Positive Scalar Curvature1
Refined and Generalized hat Z Invariants for Plumbed 3-Manifolds1
Bilinear Expansions of KP Multipair Correlators in BKP Correlators1
Simplified Forms of the Transition Probabilities of the Two-Species ASEP with Some Initial Orders of Particles1
Deformation Families of Quasi-Projective Varieties and Symmetric Projective K3 Surfaces1
Rooted Clusters for Graph LP Algebras1
Szegő Kernel and Symplectic Aspects of Spectral Transform for Extended Spaces of Rational Matrices1
Relationships Between Hyperelliptic Functions of Genus 2 and Elliptic Functions1
Deformations of Dimer Models1
Discrete Lagrangian Multiforms for ABS Equations II: Tetrahedron and Octahedron Equations1
Spinors, Twistors and Classical Geometry1
Symmetries in Riemann-Cartan Geometries1
An Expansion Formula for Decorated Super-Teichmüller Spaces1
The Algebraic and Geometric Classification of Compatible Pre-Lie Algebras1
Virtual Classes of Representation Varieties of Upper Triangular Matrices via Topological Quantum Field Theories1
The Rogers-Ramanujan Identities and Cauchy's Identity1
1D Landau-Ginzburg Superpotential of Big Quantum Cohomology of $\mathbb{CP}^2$1
A Pseudodifferential Analytic Perspective on Getzler's Rescaling1
Novikov-Veselov Symmetries of the Two-Dimensional O(N) Sigma Model1
The Evaluation of Graphs on Surfaces for State-Sum Models with Defects1
Tensors and Algebras: An Algebraic Spacetime Interpretation for Tensor Models1
Tropical Mirror1
From pp-Waves to Galilean Spacetimes1
A Cable Knot and BPS-Series1
On Uniqueness of Submaximally Symmetric Vector Ordinary Differential Equations of C-Class1
Comomentum Sections and Poisson Maps in Hamiltonian Lie Algebroids1
Deformations of Instanton Metrics1
Moduli Spaces for the Fifth Painlevé Equation1
Some Spherical Function Values for Hook Tableaux Isotypes and Young Subgroups1
Doubly Exotic Nth-Order Superintegrable Classical Systems Separating in Cartesian Coordinates1
New Combinatorial Formulae for Nested Bethe Vectors1
Bilateral Bailey Lattices and Andrews-Gordon Type Identities1
Deformed Quantum Phase Spaces, Realizations, Star Products and Twists1
Lerch $\Phi$ Asymptotics1
Maximal Discrete Subgroups in Unitary Groups of Operator Algebras1
On the Quantum K-Theory of the Quintic1
On Kazama-Suzuki Duality between $\mathcal{W}_k(\mathfrak{sl}_4, f_{\rm sub})$ and $N=2$ Superconformal Vertex Algebra1
The Derived Pure Spinor Formalism as an Equivalence of Categories1
Resolvent Trace Formula and Determinants of n Laplacians on Orbifold Riemann Surfaces1
Rank 2 Bundles with Meromorphic Connections with Poles of Poincaré Rank 11
Holography of Higher Codimension Submanifolds: Riemannian and Conformal1
Equivariant Coarse (Co-)Homology Theories1
On Invariants of Constant $p$-Mean Curvature Surfaces in the Heisenberg Group $H_1$1
A Note on the Spectrum of Magnetic Dirac Operators1
Optimal Transport and Generalized Ricci Flow1
Infinitesimal Modular Group: $q$-Deformed $\mathfrak{sl}_2$ and Witt Algebra1
Ladder Operators and Hidden Algebras for Shape Invariant Nonseparable and Nondiagonalizable Modelswith Quadratic Complex Interaction. II. Three-Dimensional Model1
A Sharp Lieb-Thirring Inequality for Functional Difference Operators1
Field Calculus: Quantum and Statistical Field Theory without the Feynman Diagrams1
Entropy of Generating Series for Nonlinear Input-Output Systems and Their Interconnections1
Scalar Curvatures of Invariant Almost Hermitian Structures on Generalized Flag Manifolds1
Real Slices of ${\rm SL}(r,\mathbb{C})$-Opers1
On Some Special Cases of Gaiotto's Positivity Conjecture1
On the Motivic Class of the Moduli Stack of Twisted $G$-Covers1
Noncolliding Macdonald Walks with an Absorbing Wall1
Bäcklund-Darboux Transformations for Super KdV Type Equations1
Stationary Flows Revisited1
Some Differential Equations for the Riemann $\theta$-Function on Jacobians1
Resurgent Structure of the Topological String and the First Painlevé Equation1
Tropical Mirror Symmetry in Dimension One1
On Integrable Nets in General and Concordant Chebyshev Nets in Particular1
Quantization of Calogero-Painlevé System and Multi-Particle Quantum Painlevé Equations II-VI1
Lagrangian Multiform for Cyclotomic Gaudin Models1
Symplectic Differential Reduction Algebras and Generalized Weyl Algebras1
Darboux Transformations for Orthogonal Differential Systems and Differential Galois Theory1
On Relative Tractor Bundles1
Spectral Asymmetry and Index Theory on Manifolds with Generalised Hyperbolic Cusps1
Painlevé-III Monodromy Maps Under the $D_6\to D_8$ Confluence and Applications to the Large-Parameter Asymptotics of Rational Solutions1
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