Geodesic

Tome 17 (2021)

Sommaire

With Wronskian through the Looking Glass
A Fully Noncommutative Painlevé II Hierarchy: Lax Pair and Solutions Related to Fredholm Determinants
The Expansion of Wronskian Hermite Polynomials in the Hermite Basis
The Arithmetic Geometry of AdS$_2$ and its Continuum Limit
Quantum Groups for Restricted SOS Models
Poisson Principal Bundles
Harmonic Analysis in $d$-Dimensional Superconformal Field Theory
Pfaffian Point Processes from Free Fermion Algebras: Perfectness and Conditional Measures
Double Lowering Operators on Polynomials
$C$-Vectors and Non-Self-Crossing Curves for Acyclic Quivers of Finite Type
Invariant Dirac Operators, Harmonic Spinors, and Vanishing Theorems in CR Geometry
Topological $\mathrm{T}$-Duality for Twisted Tori
Curvature-Dimension Condition Meets Gromov's $n$-Volumic Scalar Curvature
The Subelliptic Heat Kernel of the Octonionic Anti-De Sitter Fibration
Stäckel Equivalence of Non-Degenerate Superintegrable Systems, and Invariant Quadrics
Exceptional Legendre Polynomials and Confluent Darboux Transformations
Convergence to the Product of the Standard Spheres and Eigenvalues of the Laplacian
Quantum $\mathrm{K}$-Theory of Grassmannians and Non-Abelian Localization
Computing Regular Meromorphic Differential Forms via Saito's Logarithmic Residues
A Spectral Triple for a Solenoid Based on the Sierpinski Gasket
Parameter Permutation Symmetry in Particle Systems and Random Polymers
The Differential Geometry of the Orbit Space of Extended Affine Jacobi Group $A_1$
A Classification of Twisted Austere $3$-Folds
Space Curves and Solitons of the KP Hierarchy. I. The $l$-th Generalized KdV Hierarchy
Some Algebraic Aspects of the Inhomogeneous Six-Vertex Model
Mixed vs Stable Anti-Yetter–Drinfeld Contramodules
From Orthocomplementations to Locality
Stringy Kähler Moduli for the Pfaffian–Grassmannian Correspondence
Twisted Traces and Positive Forms on Quantized Kleinian Singularities of Type A
Prescribed Riemannian Symmetries
Representations of the Lie Superalgebra $\mathfrak{osp}(1|2n)$ with Polynomial Bases
An Introduction to Motivic Feynman Integrals
Invariants of Surfaces in Three-Dimensional Affine Geometry
Homotopy Invariance of the Space of Metrics with Positive Scalar Curvature on Manifolds with Singularities
Functional Relations on Anisotropic Potts Models: from Biggs Formula to the Tetrahedron Equation
Interplay between Opers, Quantum Curves, WKB Analysis, and Higgs Bundles
Sobolev Lifting over Invariants
The Primitive Derivation and Discrete Integrals
Degree-One Rational Cherednik Algebras for the Symmetric Group
CFT Correlators for Cardy Bulk Fields via String-Net Models
A Decomposition of Twisted Equivariant $K$-Theory
Linear Independence of Generalized Poincaré Series for Anti-de Sitter $3$-Manifolds
The Holonomy Groupoids of Singularly Foliated Bundles
On the Abuaf–Ueda Flop via Non-Commutative Crepant Resolutions
How Discrete Spectrum and Resonances Influence the Asymptotics of the Toda Shock Wave
On Scalar and Ricci Curvatures
Geometry and Conservation Laws for a Class of Second-Order Parabolic Equations II: Conservation Laws
Double Box Motive
Symmetry Breaking Differential Operators for Tensor Products of Spinorial Representations
On $q$-Isomonodromic Deformations and $q$-Nekrasov Functions
Spectra of Compact Quotients of the Oscillator Group
Centralizers of Rank One in the First Weyl Algebra
Gauss Hypergeometric Representations of the Ferrers Function of the Second Kind
Nonsymmetric Macdonald Superpolynomials
Equivariant Tilting Modules, Pfaffian Varieties and Noncommutative Matrix Factorizations
From Heun Class Equations to Painlevé Equations
Asymptotic Estimation for Eigenvalues in the Exponential Potential and for Zeros of $K_{{\rm i}\nu}(z)$ with Respect to Order
Integrable $\mathcal{E}$-Models, $4\mathrm{d}$ Chern–Simons Theory and Affine Gaudin Models. I. Lagrangian Aspects
Families of Gröbner Degenerations, Grassmannians and Universal Cluster Algebras
Linear $\mathbb{Z}_2^n$-Manifolds and Linear Actions
Extrinsic Geometry and Linear Differential Equations
Positive Scalar Curvature on Spin Pseudomanifolds: the Fundamental Group and Secondary Invariants
Completeness of SoV Representation for $\mathrm{SL}(2,\mathbb R)$ Spin Chains
Generalized Gross–Neveu Universality Class with Non-Abelian Symmetry
New Techniques for Worldline Integration
Manin Matrices for Quadratic Algebras
A New Class of Integrable Maps of the Plane: Manin Transformations with Involution Curves
Good Wild Harmonic Bundles and Good Filtered Higgs Bundles
Separation of Variables, Quasi-Trigonometric $r$-Matrices and Generalized Gaudin Models
Singularities of Schubert Varieties within a Right Cell
$\mathbb{Z}_2^3$-Graded Extensions of Lie Superalgebras and Superconformal Quantum Mechanics
A Framework for Geometric Field Theories and their Classification in Dimension One
Locality and General Vacua in Quantum Field Theory
Non-Integrability of the Kepler and the Two-Body Problems on the Heisenberg Group
Resurgent Analysis of Ward–Schwinger–Dyson Equations
Quantum Representation of Affine Weyl Groups and Associated Quantum Curves
Second-Order Differential Operators in the Limit Circle Case
Minimal Kinematics: An All $k$ and $n$ Peek into $\mathrm{Trop}^+\mathrm{G}(k,n)$
Triality for Homogeneous Polynomials
An Expansion Formula for Decorated Super-Teichmüller Spaces
Quantization of Calogero–Painlevé System and Multi-Particle Quantum Painlevé Equations II–VI
Rank 2 Bundles with Meromorphic Connections with Poles of Poincaré Rank $1$
Resolvent Trace Formula and Determinants of $n$ Laplacians on Orbifold Riemann Surfaces
Exponential Formulas, Normal Ordering and the Weyl–Heisenberg Algebra
Perturbative and Geometric Analysis of the Quartic Kontsevich Model
Algebraic Structures on Typed Decorated Rooted Trees
Semiclassical Trans-Series from the Perturbative Hopf-Algebraic Dyson–Schwinger Equations: $\phi^3$ QFT in $6$ Dimensions
Lax Pair for a Novel Two-Dimensional Lattice
Virasoro Action on the $Q$-Functions
Spinors, Twistors and Classical Geometry
Negative Times of the Davey–Stewartson Integrable Hierarchy
Cluster Configuration Spaces of Finite Type
A Revisit to the ABS $\mathrm{H2}$ Equation
Renormalization in Combinatorially Non-Local Field Theories: the BPHZ Momentum Scheme
Real Liouvillian Extensions of Partial Differential Fields
Generically, Arnold–Liouville Systems Cannot be Bi-Hamiltonian
Liouville Action for Harmonic Diffeomorphisms
Hypergeometric Functions at Unit Argument: Simple Derivation of Old and New Identities
Quot Schemes for Kleinian Orbifolds
$c_2$ Invariants of Hourglass Chains via Quadratic Denominator Reduction
The Algebraic Structure of the KLT Relations for Gauge and Gravity Tree Amplitudes
Twistors, Self-Duality, and Spin${}^c$ Structures
Invariant Differential Forms on Complexes of Graphs and Feynman Integrals
Scaling Limits for the Gibbs States on Distance-Regular Graphs with Classical Parameters
A Sharp Lieb–Thirring Inequality for Functional Difference Operators
How to Draw a Correlation Function
Clean Single-Valued Polylogarithms
The Lattice Sine-Gordon Equation as a Superposition Formula for an NLS-Type System
Scalar Curvatures of Invariant Almost Hermitian Structures on Generalized Flag Manifolds
A Composite Order Generalization of Modular Moonshine
Boundary One-Point Function of the Rational Six-Vertex Model with Partial Domain Wall Boundary Conditions: Explicit Formulas and Scaling Properties
Form Factors of the Heisenberg Spin Chain in the Thermodynamic Limit: Dealing with Complex Bethe Roots
Orthogonal Polynomial Stochastic Duality Functions for Multi-Species SEP$(2j)$ and Multi-Species IRW