Symmetry Integrability and Geometry-Methods and Applications

Article	Citations
Twisted Fusion Products and Quantum Twisted $Q$-Systems	13
Ricci-Flat Manifolds, Parallel Spinors and the Rosenberg Index	13
Nudged Elastic Bands and Lightly Bound Skyrmions	10
On a Transformation of Triple $q$-Series and Rogers-Hecke Type Series	6
The Generalized Cluster Complex: Refined Enumeration of Faces and Related Parking Spaces	5
Adiabatic Limit, Theta Function, and Geometric Quantization	5
Topology of Almost Complex Structures on Six-Manifolds	5
Differential Equations for Approximate Solutions of Painlevé Equations: Application to the Algebraic Solutions of the Painlevé-III $({\rm D}_7)$ Equation	5
On the Fourth-Order Lattice Gel'fand-Dikii Equations	5
Connection Problem for an Extension of q-Hypergeometric Systems	4
Shuffle Products, Degenerate Affine Hecke Algebras, and Quantum Toda Lattice	4
Polynomial Solutions Modulo $p^s$ of Differential KZ and Dynamical Equations	4
Geometry of Gauged Skyrmions	4
Discrete Lagrangian Multiforms for ABS Equations I: Quad Equations	4
Some Useful Operators on Differential Forms on Galilean and Carrollian Spacetimes	4
Identity between Restricted Cauchy Sums for the $q $-Whittaker and Skew Schur Polynomials	4
$q$-Hypergeometric Orthogonal Polynomials with $q=-1$	4
Resurgence of Refined Topological Strings and Dual Partition Functions	3
Reformulation of $q$-Middle Convolution and Applications	3
Fermionic Basis in Conformal Field Theory and Thermodynamic Bethe Ansatz for Excited States II	3
Symplectic Double Extensions for Restricted Quasi-Frobenius Lie (Super)Algebras	3
The Morse-Smale Property of the Thurston Spine	3
Ultra-Discretization of Yang-Baxter Maps, Probability Distributions and Independence Preserving Property	3
A Riemann-Hilbert Approach to Skew-Orthogonal Polynomials of Symplectic Type	3
Perturbations of APS Boundary Conditions for Lorentzian Dirac Operators	3

Module Categories of the Generic Virasoro VOA and Quantum Groups	3
The Geometry of Loop Spaces III: Isometry Groups of Contact Manifolds	3
Construction of Irreducible $\mathcal{U}(\mathfrak{g})^{G'}$-Modules and Discretely Decomposable Restrictions	3
Non-Stationary Difference Equation and Affine Laumon Space II: Quantum Knizhnik-Zamolodchikov Equation	3
Deformations of Symmetric Simple Modular Lie (Super)Algebras	2
Global Magni4icence, or: 4G Networks	2
Monotone Cumulant-Moment Formula and Schröder Trees	2
Compact Locally Conformally Pseudo-Kähler Manifolds with Essential Conformal Transformations	2
Strong Szegő Limit Theorems for Multi-Bordered, Framed, and Multi-Framed Toeplitz Determinants	2
Logarithmic Spectral Distribution of a Non-Hermitian $\beta$-Ensemble	2
Resurgent Structure of the Topological String and the First Painlevé Equation	2
Extending Knot Polynomials of Braided Hopf Algebras to Links	2
Seven Concepts Attributed to Siméon-Denis Poisson	2
A Minimum Property for Cuboidal Lattice Sums	2
Rational Solutions of Painlevé V from Hankel Determinants and the Asymptotics of Their Pole Locations	2
On Asymptotically Locally Hyperbolic Metrics with Negative Mass	2
Motives of Nullcones of Quiver Representations	2
Locally Homogeneous Holomorphic Geometric Structures on Projective Varieties	2
Double Quiver Gauge Theory and BPS/CFT Correspondence	2
Difference Operators and Duality for Trigonometric Gaudin and Dynamical Hamiltonians	2
Tuning Co- and Contra-Variant Transforms: the Heisenberg Group Illustration	2
Intermediate Macdonald Polynomials and Their Vector Versions	2
Unitarity of the SoV Transform for $\mathrm{SL}(2,\mathbb C)$ Spin Chains	2
Knots, Perturbative Series and Quantum Modularity	2
Vertex $F$-Algebras and Their Associated Lie Algebra	2
A Pseudodifferential Analytic Perspective on Getzler's Rescaling	1
Rectangular Matrix Additions in Low and High Temperatures	1
Comomentum Sections and Poisson Maps in Hamiltonian Lie Algebroids	1
On q -Middle Convolution and q -Hypergeometric Equations	1
On Kazama-Suzuki Duality between $\mathcal{W}_k(\mathfrak{sl}_4, f_{\rm sub})$ and $N=2$ Superconformal Vertex Algebra	1
Torsion Obstructions to Positive Scalar Curvature	1
On Some Special Cases of Gaiotto's Positivity Conjecture	1
Deformations of Instanton Metrics	1
Regularized $\zeta_{\Delta}(1)$ for Polyhedra	1
Bäcklund-Darboux Transformations for Super KdV Type Equations	1
Optimal Transport and Generalized Ricci Flow	1
Geometry of the Space of Sections of Twistor Spaces with Circle Action	1
Commuting Subalgebras of Affine Super Yangians Arising from Edge Contractions	1
A Note on the Spectrum of Magnetic Dirac Operators	1
Renormalisation of Singular SPDEs with Correlated Coefficients	1
Darboux Transformations for Orthogonal Differential Systems and Differential Galois Theory	1
On Relative Tractor Bundles	1
Moduli Spaces for the Fifth Painlevé Equation	1
Leading Terms of Relations on a Level 5 Module over the Twisted Affine Lie Algebra $A_2^{(2)}$	1
On Invariants of Constant $p$-Mean Curvature Surfaces in the Heisenberg Group $H_1$	1
Irreducibility of Certain $\widehat{\mathfrak{sl}}_2$-Modules of Wakimoto Type	1
Some Differential Equations for the Riemann $\theta$-Function on Jacobians	1
From pp-Waves to Galilean Spacetimes	1
The Rogers-Ramanujan Identities and Cauchy's Identity	1
Differential Antisymmetric Infinitesimal Bialgebras, Coherent Derivations and Poisson Bialgebras	1

A Cable Knot and BPS-Series	1
Entropy of Generating Series for Nonlinear Input-Output Systems and Their Interconnections	1
Noncolliding Macdonald Walks with an Absorbing Wall	1
Real Slices of ${\rm SL}(r,\mathbb{C})$-Opers	1
Stationary Flows Revisited	1
On Uniqueness of Submaximally Symmetric Vector Ordinary Differential Equations of C-Class	1
Szegő Kernel and Symplectic Aspects of Spectral Transform for Extended Spaces of Rational Matrices	1
On Integrable Nets in General and Concordant Chebyshev Nets in Particular	1
About a Family of ALF Instantons with Conical Singularities	1
Modified Green-Hyperbolic Operators	1
The Evaluation of Graphs on Surfaces for State-Sum Models with Defects	1
Unrestricted Quantum Moduli Algebras, II: Noetherianity and Simple Fraction Rings at Roots of 1	1
The Algebraic and Geometric Classification of Compatible Pre-Lie Algebras	1
Virtual Classes of Representation Varieties of Upper Triangular Matrices via Topological Quantum Field Theories	1
Symmetries in Riemann-Cartan Geometries	1
Asymptotics for the Enumeration of Commuting Matrices over Finite Fields	1
Spectral Asymmetry and Index Theory on Manifolds with Generalised Hyperbolic Cusps	1
Discrete Lagrangian Multiforms for ABS Equations II: Tetrahedron and Octahedron Equations	1
Tropical Mirror	1
Lerch $\Phi$ Asymptotics	1
Cyclic Objects from Surfaces	1
Some Spherical Function Values for Hook Tableaux Isotypes and Young Subgroups	1
Bilateral Bailey Lattices and Andrews-Gordon Type Identities	1
Deformation Families of Quasi-Projective Varieties and Symmetric Projective K3 Surfaces	1
Lagrangian Multiform for Cyclotomic Gaudin Models	1
The Derived Pure Spinor Formalism as an Equivalence of Categories	1
Refined and Generalized hat Z Invariants for Plumbed 3-Manifolds	1
Tensors and Algebras: An Algebraic Spacetime Interpretation for Tensor Models	1
Isomonodromy and Painlevé Type Equations, Case Studies	1
Geometric Transformations on Null Curves in the Anti-de Sitter 3-Space	1
Symplectic Differential Reduction Algebras and Generalized Weyl Algebras	1
Myers-Steenrod Theorems for Metric and Singular Riemannian Foliations	1
Symplectic Excision and Distance Rigidity	1
Painlevé-III Monodromy Maps Under the $D_6\to D_8$ Confluence and Applications to the Large-Parameter Asymptotics of Rational Solutions	1
Elliptic Virtual Structure Constants and Gromov-Witten Invariants for Complete Intersections in Weighted Projective Space	1
1D Landau-Ginzburg Superpotential of Big Quantum Cohomology of $\mathbb{CP}^2$	1
Correlated Gromov-Witten Invariants	1
Categorical Fermionic Actions and Minimal Modular Extensions	1
Holography of Higher Codimension Submanifolds: Riemannian and Conformal	1
Positive Intermediate Ricci Curvature on Fibre Bundles	1
Kähler-Yang-Mills Equations and Vortices	1
On Bilateral Multiple Sums and Rogers-Ramanujan Type Identities	1
Rooted Clusters for Graph LP Algebras	1
Deformation Quantization with Separation of Variables of $G_{2,4}(\mathbb{C})$	0
On the Structure of Wave Functions in Complex Chern-Simons Theory	0
Computation of Weighted Bergman Inner Products on Bounded Symmetric Domains and Parseval-Plancherel-Type Formulas under Subgroups	0
Compatible $E$-Differential Forms on Lie Algebroids over (Pre-)Multisymplectic Manifolds	0
Non-Perturbative Real Topological Strings	0
A $3 \times 3$ Lax Form for the $q$-Painlevé Equation of Type $E_6$	0
Koenigs Theorem and Superintegrable Liouville Metrics	0
On Geometric Spectral Functionals	0
Universality of Descendent Integrals over Moduli Spaces of Stable Sheaves on K3 Surfaces	0
On the Spectrum of Certain Hadamard Manifolds	0
Kernel Function, $q$-Integral Transformation and $q$-Heun Equations	0
ADE Bundles over Surfaces	0
Mapping Class Group Representations Derived from Stated Skein Algebras	0
On Integrable Structure of Null String in (Anti-)de Sitter Space	0
Toda-Type Presentations for the Quantum K Theory of Partial Flag Varieties	0
Linear Independence for $A_1^{(1)}$ by Using $C_{2}^{(1)}$	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
A Generalization of Zwegers' μ-Function According to the q -Hermite-Weber Difference Equation	0
Twisted Sectors for Lagrangian Floer Theory on Symplectic Orbifolds	0
Higher Symmetries in Twisted Eleven-Dimensional Supergravity	0
A Note on Coupled Dirac Operators	0
Soliton Condensates for the Focusing Nonlinear Schrödinger Equation: a Non-Bound State Case	0
ransformations of Currents in Sigma-Models with Target Space Supersymmetry	0
K-Theoretic Descendent Series for Hilbert Schemes of Points on Surfaces	0
Moving Frames: Difference and Differential-Difference Lagrangians	0
The Space of Dirac-Minimal Metrics is Connected in Dimensions 2 and 4	0
Twisted Post-Hopf Algebras, Twisted Relative Rota-Baxter Operators and Hopf Trusses	0
A Path-Counting Analysis of Phase Shifts in Box-Ball Systems	0
Complete Asymptotic Expansions for the Normalizing Constants of High-Dimensional Matrix Bingham and Matrix Langevin Distributions	0
Relativistic Toda Lattice and Equivariant $K$-Homology of Affine Grassmannian	0
Periodic $Y$-Systems and Nahm Sums: The Rank 2 Case	0
Derivations and Central Extensions of Symmetric Modular Lie Algebras and Superalgebras	0
GUE Correlators and Large Genus Asymptotics	0
Law of Large Numbers for Roots of Finite Free Multiplicative Convolution of Polynomials	0
Exact Correlations in Topological Quantum Chains	0
Affine Jacobi-Trudi Identities and $q,t$-Rogers-Ramanujan Identities	0
Discrete Approximations to $\operatorname{U}(1)$ Principal Bundles in Abelian Gauge Theory	0

A General Dixmier Trace Formula for the Density of States on Open Manifolds	0
Weil Classes and Decomposable Abelian Fourfolds	0
Absorption Times for Discrete Whittaker Processes and Non-Intersecting Brownian Bridges	0
Markovianity and the Thompson Group F	0
Single-Valued Killing Fields of a Meromorphic Affine Connection and Classification	0
Quantum Groups, Discrete Magnus Expansion, Pre-Lie and Tridendriform Algebras	0
Affine Nijenhuis Operators and Hochschild Cohomology of Trusses	0
The Wehrheim-Woodward Category of Linear Canonical Relations between $G$-Spaces	0
The Buckling and Clamped Plate Problems on Differential Forms	0
Frobenius Monoidal Functors of Dijkgraaf-Witten Categories and Rigid Frobenius Algebras	0
Reduction of $L_\infty$-Algebras of Observables on Multisymplectic Manifolds	0
Sign Convention for $A_{\infty}$-operations in Bott-Morse Case	0
Hexagonal Circular 3-Webs with Reducible Polar Curves of Degree Three	0
A Representation-Theoretic Approach to qq-Characters	0
A New Grounded Partition Identity of Type $D_4^{(3)}$	0
$\mathfrak{gl}(3)$ Polynomial Integrable System: Different Faces of the 3-Body/${\mathcal A}_2$ Elliptic Calogero Model	0
Maximal Graded Solvable Subalgebras of Simple Finite-Dimensional Vectorial Lie Superalgebras	0
Quasi-Polynomial Extensions of Nonsymmetric Macdonald-Koornwinder Polynomials	0
Vector Fields and Flows on Subcartesian Spaces	0
Local and Global Blow Downs of Transport Twistor Space	0
Knots and Their Related $q$-Series	0
Nonlinear Isocapacitary Concepts of Mass in 3-Manifolds with Nonnegative Scalar Curvature	0
Rigidity and Non-Rigidity of $\mathbb{H}^n/\mathbb{Z}^{n-2}$ with Scalar Curvature Bounded from Below	0
A Poincaré Formula for Differential Forms and Applications	0
Tau Functions from Joyce Structures	0
On Pre-Novikov Algebras and Derived Zinbiel Variety	0
The Double Fock Space of Type B	0
DG-Enhanced Hecke and KLR Algebras	0
Computation of Infinitesimals for a Group Action on a Multispace of One Independent Variable	0
Modular Exercises for Four-Point Blocks - I	0
Experimenting with the Garsia-Milne Involution Principle	0
A Family of Instanton-Invariants for Four-Manifolds and Their Relation to Khovanov Homology	0
On the Signature of a Path in an Operator Algebra	0
Big Algebra in Type $A$ for the Coordinate Ring of the Matrix Space	0
An Askey-Wilson Algebra of Rank 2	0
Boundary Value Problems for Dirac Operators on Graphs	0
The Fefferman Metric for Twistor CR Manifolds and Conformal Geodesics in Dimension Three	0
Bilateral Two-Parameter Mock Theta Functions and Related Applications	0
Weak Gauge PDEs	0
Systolic Inequalities for Compact Quotients of Carnot Groups with Popp's Volume	0
The Linearizability of Singular Foliations Is a Morita Invariant	0
Quantum Curves, Resurgence and Exact WKB	0
Non-Commutative Gauge Theory at the Beach	0
Asymptotic Expansions of Finite Hankel Transforms and the Surjectivity of Convolution Operators	0
A Constructive Proof for the Umemura Polynomials of the Third Painlevé Equation	0
Positive Weighted Partitions Generated by Double Series	0
Prolongation of $(8,15)$-Distribution of Type $F_4$ by Singular Curves	0
Big and Nef Tautological Vector Bundles over the Hilbert Scheme of Points	0
The Regularity of ODEs and Thimble Integrals with Respect to Borel Summation	0
Bailey Pairs and an Identity of Chern-Li-Stanton-Xue-Yee	0
Recursion Relation for Toeplitz Determinants and the Discrete Painlevé II Hierarchy	0
Uniformity of Strong Asymptotics in Angelesco Systems	0
Skew Plücker Relations	0
Fused K-Operators and the $q$-Onsager Algebra	0
The Clebsch-Gordan Rule for U(sl<sub>2</sub>), the Krawtchouk Algebras and the Hamming Graphs	0
Solutions of Tetrahedron Equation from Quantum Cluster Algebra Associated with Symmetric Butterfly Quiver	0
On the Uniqueness of the $G$-Equivariant Spectral Flow	0
Visible Lagrangians for Hitchin Systems and Pillowcase Covers	0
Solitons in the Gauged Skyrme-Maxwell Model	0
Harmonic Metrics for Higgs Bundles of Rank 3 in the Hitchin Section	0
Orthogonality with Respect to the Hermite Product, KP Wave Functions, and the Bispectral Involution	0
Non-Semisimple TQFT's and BPS q-Series	0
Proof of Two Multivariate $q$-Binomial Sums Arising in Gromov-Witten Theory	0
Affine Kac-Moody Algebras and Tau-Functions for the Drinfeld-Sokolov Hierarchies: the Matrix-Resolvent Method	0
De Finetti Theorems for the Unitary Dual Group	0
On Polyhedral Formulas for Kirillov-Reshetikhin Modules	0
Newton's Off-Center Circular Orbits and the Magnetic Monopole	0
Character Vectors of Strongly Regular Vertex Operator Algebras	0
Expansions and Characterizations of Sieved Random Walk Polynomials	0
Scale Invariant Scattering and Bernoulli Numbers	0
On Degenerations of the Projective Plane	0
Multidimensional Nonhomogeneous Quasi-Linear Systems and Their Hamiltonian Structure	0
Numerators in Parametric Representations of Feynman Diagrams	0
A Novel Potential Featuring Off-Center Circular Orbits	0
Explicit Central Elements of U<sub>q</sub>(gl(N+1))	0
A Note about Isotopy and Concordance of Positive Scalar Curvature Metrics on Compact Manifolds with Boundary	0
Real Forms of Holomorphic Hamiltonian Systems	0
Moduli Space for Kink Collisions with Moving Center of Mass	0
Skein (3+1)-TQFTs from Non-Semisimple Ribbon Categories	0
Quantum Modularity for a Closed Hyperbolic 3-Manifold	0
The Principal W-Algebra of $\mathfrak{psl}_{2|2}$	0
On the Structure of Trans-Series in Quantum Field Theory	0
SICs and the Triangle Group (3,3,3)	0
Quadratic Varieties of Small Codimension	0
Algebraic Complete Integrability of the $a_4^{(2)}$ Toda Lattice	0
Tangent Weights and Invariant Curves in Type A Bow Varieties	0
Strichartz Estimates for the $(k,a)$-Generalized Laguerre Operators	0
Ten Compatible Poisson Brackets on $\mathbb P^5$	0
Lie Admissible Triple Algebras: The Connection Algebra of Symmetric Spaces	0
Counting Curves with Tangencies	0
The Generalized Lipkin-Meshkov-Glick Model and the Modified Algebraic Bethe Ansatz	0
A Tensor Category Construction of the $W_{p,q}$ Triplet Vertex Operator Algebra and Applications	0
Equivalent Integrable Metrics on the Sphere with Quartic Invariants	0
Hilbert Series of $S_3$-Quasi-Invariant Polynomials in Characteristics 2, 3	0
Deformed $w_{1+\infty}$ Algebras in the Celestial CFT	0