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Symmetry, integrability and geometry: methods and applications
Tome 18 (2022)
Précédent Suivant


Tau Function and Moduli of Meromorphic Quadratic Differentials
Dmitry Korotkin ; Peter Zograf

Voros Coefficients at the Origin and at the Infinity of the Generalized Hypergeometric Differential Equations with a Large Parameter
Takashi Aoki ; Shofu Uchida

A Unified View on Geometric Phases and Exceptional Points in Adiabatic Quantum Mechanics
Eric J. Pap ; Daniël Boer ; Holger Waalkens

Ladder Operators and Hidden Algebras for Shape Invariant Nonseparable and Nondiagonalizable Models with Quadratic Complex Interaction. I. Two-Dimensional Model
Ian Marquette ; Christiane Quesne

Ladder Operators and Hidden Algebras for Shape Invariant Nonseparable and Nondiagonalizable Models with Quadratic Complex Interaction. II. Three-Dimensional Model
Ian Marquette ; Christiane Quesne

Novikov–Veselov Symmetries of the Two-Dimensional $O(N)$ Sigma Model
Igor Krichever ; Nikita Nekrasov

Scaling Limits of Planar Symplectic Ensembles
Gernot Akemann ; Sung-Soo Byun ; Nam-Gyu Kang

Simplified Forms of the Transition Probabilities of the Two-Species ASEP with Some Initial Orders of Particles
Eunghyun Lee ; Temirlan Raimbekov

Twisted Traces and Positive Forms on Generalized $q$-Weyl Algebras
Daniil Klyuev

Relationships Between Hyperelliptic Functions of Genus $2$ and Elliptic Functions
Takanori Ayano ; Victor M. Buchstaber

Explicit Triangular Decoupling of the Separated Lichnerowicz Tensor Wave Equation on Schwarzschild into Scalar Regge–Wheeler Equations
Igor Khavkine

A Quantum $0-\infty$ Law
Michel Bauer

Modular Ordinary Differential Equations on $\mathrm{SL}(2,\mathbb{Z})$ of Third Order and Applications
Zhijie Chen ; Chang-Shou Lin ; Yifan Yang

$q$-Selberg Integrals and Koornwinder Polynomials
Jyoichi Kaneko

An Atiyah Sequence for Noncommutative Principal Bundles
Kay Schwieger ; Stefan Wagner

Celestial $w_{1+\infty}$ Symmetries from Twistor Space
Tim Adamo ; Lionel Mason ; Atul Sharma

The Exponential Map for Hopf Algebras
Ghaliah Alhamzi ; Edwin Beggs

Algebras of Non-Local Screenings and Diagonal Nichols Algebras
Ilaria Flandoli ; Simon D. Lentner

Classification of the Orthogonal Separable Webs for the Hamilton–Jacobi and Klein–Gordon Equations on 3-Dimensional Minkowski Space
Carlos Valero ; Raymond G. McLenaghan

A Note on Multi-Oriented Graph Complexes and Deformation Quantization of Lie Bialgebroids
Kevin Morand

On the Quantum K-Theory of the Quintic
Stavros Garoufalidis ; Emanuel Scheidegger

Deformed Quantum Phase Spaces, Realizations, Star Products and Twists
Stjepan Meljanac ; Rina Štrajn

Post-Lie Magnus Expansion and BCH-Recursion
Mahdi J. Hasan Al-Kaabi ; Kurusch Ebrahimi-Fard ; Dominique Manchon

Accessory Parameters for Four-Punctured Spheres
Gabriele Bogo

Unrestricted Quantum Moduli Algebras. I. The Case of Punctured Spheres
Stéphane Baseilhac ; Philippe Roche

Cohomology of $\mathfrak{sl}_3$ and $\mathfrak{gl}_3$ with Coefficients in Simple Modules and Weyl Modules in Positive Characteristics
Sherali Sh. Ibraev

Twistor Theory of Dancing Paths
Maciej Dunajski

Pullback Coherent States, Squeezed States and Quantization
Rukmini Dey ; Kohinoor Ghosh

A Characterisation of Smooth Maps into a Homogeneous Space
Anthony D. Blaom

Deformations of Dimer Models
Akihiro Higashitani ; Yusuke Nakajima

Spinors in Five-Dimensional Contact Geometry
Michael Eastwood ; Timothy Moy

Properties of the Non-Autonomous Lattice Sine-Gordon Equation: Consistency around a Broken Cube Property
Nobutaka Nakazono

Computation of Weighted Bergman Inner Products on Bounded Symmetric Domains and Restriction to Subgroups
Ryosuke Nakahama

Witten–Reshetikhin–Turaev Invariants, Homological Blocks, and Quantum Modular Forms for Unimodular Plumbing H-Graphs
Akihito Mori ; Yuya Murakami

The Generalized Fibonacci Oscillator as an Open Quantum System
Franco Fagnola ; Chul Ki Ko ; Hyun Jae Yoo

A Combinatorial Description of Certain Polynomials Related to the XYZ Spin Chain. II. The Polynomials $p_n$
Linnea Hietala

Reduction of the 2D Toda Hierarchy and Linear Hodge Integrals
Si-Qi Liu ; Zhe Wang ; Youjin Zhang

Geometrical Aspects of the Hamiltonization Problem of Dynamical Systems
Misael Avendaño-Camacho ; Claudio César García-Mendoza ; José Crispín Ruiz-Pantaleón ; Eduardo Velasco-Barreras

Doubly Exotic $N$th-Order Superintegrable Classical Systems Separating in Cartesian Coordinates
İsmet Yurduşen ; Adrián Mauricio Escobar-Ruiz ; Irlanda Palma y Meza Montoya

Dirac Operators for the Dunkl Angular Momentum Algebra
Kieran Calvert ; Marcelo De Martino

Expansion for a Fundamental Solution of Laplace's Equation in Flat-Ring Cyclide Coordinates
Lijuan Bi ; Howard S. Cohl ; Hans Volkmer

Relating Stated Skein Algebras and Internal Skein Algebras
Benjamin Haioun

Difference Equation for Quintic $3$-Fold
Yaoxinog Wen

Field Calculus: Quantum and Statistical Field Theory without the Feynman Diagrams
John E. Gough

From Twistor-Particle Models to Massive Amplitudes
Giulia Albonico ; Yvonne Geyer ; Lionel Mason

Tropical Mirror Symmetry in Dimension One
Janko Böhm ; Christoph Goldner ; Hannah Markwig

Determinantal Formulas for Exceptional Orthogonal Polynomials
Brian Simanek

On the Monodromy Invariant Hermitian Form for $A$-Hypergeometric Systems
Carlo Verschoor

Functional Equations Solving Initial-Value Problems of Complex Burgers-Type Equations for One-Dimensional Log-Gases
Taiki Endo ; Makoto Katori ; Noriyoshi Sakuma

Spherical Representations of $C^*$-Flows II: Representation System and Quantum Group Setup
Yoshimichi Ueda

Quantum Toroidal Comodule Algebra of Type $A_{n-1}$ and Integrals of Motion
Boris Feigin ; Michio Jimbo ; Evgeny Mukhin

Maximal Discrete Subgroups in Unitary Groups of Operator Algebras
Vadim Alekseev ; Andreas Thom

Pathlike Co/Bialgebras and their Antipodes with Applications to Bi- and Hopf Algebras Appearing in Topology, Number Theory and Physics
Ralph M. Kaufmann ; Yang Mo

Deformations and Cohomologies of Relative Rota–Baxter Operators on Lie Algebroids and Koszul–Vinberg Structures
Meijun Liu ; Jiefeng Liu ; Yunhe Sheng

Mirror Symmetry for Truncated Cluster Varieties
Benjamin Gammage ; Ian Le

$q$-Middle Convolution and $q$-Painlevé Equation
Shoko Sasaki ; Shun Takagi ; Kouichi Takemura

Equivariant Coarse (Co-)Homology Theories
Christopher Wulff

Systolic Inequalities for Compact Quotients of Carnot Groups with Popp's Volume
Kenshiro Tashiro

Node Polynomials for Curves on Surfaces
Steven Kleiman ; Ragni Piene

The Gauge Group and Perturbation Semigroup of an Operator System
Rui Dong

Big and Nef Tautological Vector Bundles over the Hilbert Scheme of Points
Dragos Oprea

Geometric Models and Variation of Weights on Moduli of Parabolic Higgs Bundles over the Riemann Sphere: a Case Study
Claudio Meneses

A Path-Counting Analysis of Phase Shifts in Box-Ball Systems
Nicholas M. Ercolani ; Jonathan Ramalheira-Tsu

Mapping Class Group Representations Derived from Stated Skein Algebras
Julien Korinman

Tuning Co- and Contra-Variant Transforms: the Heisenberg Group Illustration
Amerah A. Al Ameer ; Vladimir V. Kisil

Smooth Multisoliton Solutions of a 2-Component Peakon System with Cubic Nonlinearity
Nianhua Li ; Q. P. Liu

De Finetti Theorems for the Unitary Dual Group
Isabelle Baraquin ; Guillaume Cébron ; Uwe Franz ; Laura Maassen ; Moritz Weber

Universal Structures in $\mathbb C$-Linear Enumerative Invariant Theories
Jacob Gross ; Dominic Joyce ; Yuuji Tanaka

Freezing Limits for Beta-Cauchy Ensembles
Michael Voit

Bimodule Connections for Relative Line Modules over the Irreducible Quantum Flag Manifolds
Alessandro Carotenuto ; Réamonn Ó Buachalla

Spatial Markov Semigroups Admit Hudson–Parthasarathy Dilations
Michael Skeide

Quadratic Relations of the Deformed $W$-Algebra for the Twisted Affine Lie Algebra of Type $A_{2N}^{(2)}$
Takeo Kojima

Monotone Cumulant-Moment Formula and Schröder Trees
Octavio Arizmendi ; Adrian Celestino

The Generalized Lipkin–Meshkov–Glick Model and the Modified Algebraic Bethe Ansatz
Taras Skrypnyk

Categorial Independence and Lévy Processes
Malte Gerhold ; Stephanie Lachs ; Michael Schürmann

Universality of Descendent Integrals over Moduli Spaces of Stable Sheaves on $K3$ Surfaces
Georg Oberdieck

Affine Kac–Moody Algebras and Tau-Functions for the Drinfeld–Sokolov Hierarchies: the Matrix-Resolvent Method
Boris Dubrovin ; Daniele Valeri ; Di Yang

K-Theoretic Descendent Series for Hilbert Schemes of Points on Surfaces
Noah Arbesfeld

Noncolliding Macdonald Walks with an Absorbing Wall
Leonid Petrov

Connection Problem for an Extension of $q$-Hypergeometric Systems
Takahiko Nobukawa

Difference Operators and Duality for Trigonometric Gaudin and Dynamical Hamiltonians
Filipp Uvarov

Entropy of Generating Series for Nonlinear Input-Output Systems and Their Interconnections
W. Steven Gray

Markovianity and the Thompson Group $F$
Claus Köstler ; Arundhathi Krishnan

Three Examples in the Dynamical Systems Theory
Mikhail B. Sevryuk

Character Vectors of Strongly Regular Vertex Operator Algebras
Cameron Franc ; Geoffrey Mason

The Weighted Ambient Metric
Jeffrey Case ; Ayush Khaitan

ADE Bundles over Surfaces
Yunxia Chen ; Naichung Conan Leung

On Gorenstein Fano Threefolds with an Action of a Two-Dimensional Torus
Andreas Bäuerle ; Jürgen Hausen

Rooted Clusters for Graph LP Algebras
Esther Banaian ; Sunita Chepuri ; Elizabeth Kelley ; Sylvester W. Zhang

A Representation-Theoretic Approach to $qq$-Characters
Henry Liu

Ray–Singer Torsion and the Rumin Laplacian on Lens Spaces
Akira Kitaoka

Seven Concepts Attributed to Siméon-Denis Poisson
Yvette Kosmann-Schwarzbach

Topology of Almost Complex Structures on Six-Manifolds
Gustavo Granja ; Aleksandar Milivojević

Equivalent Integrable Metrics on the Sphere with Quartic Invariants
Andrey V. Tsiganov

Virtual Classes of Representation Varieties of Upper Triangular Matrices via Topological Quantum Field Theories
Márton Hablicsek ; Jesse Vogel

On the Signature of a Path in an Operator Algebra
Nicolas Gilliers ; Carlo Bellingeri

Weil Classes and Decomposable Abelian Fourfolds
Bert van Geemen

Complementary Modules of Weierstrass Canonical Forms
Jiryo Komeda ; Shigeki Matsutani ; Emma Previato

The Linear Span of Uniform Matrix Product States
Claudia De Lazzari ; Harshit J. Motwani ; Tim Seynnaeve
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