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Symmetry, integrability and geometry: methods and applications
Tome 19 (2023)
Précédent Suivant


A Novel Potential Featuring Off-Center Circular Orbits
Maxim Olshanii

A Cable Knot and BPS-Series
John Chae

A Note on Coupled Dirac Operators
Nigel J. Hitchin

Law of Large Numbers for Roots of Finite Free Multiplicative Convolution of Polynomials
Katsunori Fujie ; Yuki Ueda

On Asymptotically Locally Hyperbolic Metrics with Negative Mass
Piotr T. Chrusciel ; Erwann Delay

Shuffle Algebras and Non-Commutative Probability for Pairs of Faces
Joscha Diehl ; Malte Gerhold ; Nicolas Gilliers

On the Fourth-Order Lattice Gel'fand–Dikii Equations
Guesh Yfer Tela ; Song-Lin Zhao ; Da-Jun Zhang

An Askey–Wilson Algebra of Rank $2$
Wolter Groenevelt ; Carel Wagenaar

Quantum Curves, Resurgence and Exact WKB
Murad Alim ; Lotte Hollands ; Iván Tulli

Non-Semisimple TQFT's and BPS $q$-Series
Francesco Costantino ; S. G. Gukov ; Pavel Putrov

Refined and Generalized $\hat{Z}$ Invariants for Plumbed $3$-Manifolds
Song Jin Ri

Spin$^h$ Manifolds
H. Blaine Lawson Jr.

Moduli Space of Factorized Ramified Connections and Generalized Isomonodromic Deformation
Michi-aki Inaba

A Generalization of Zwegers' $\mu$-Function According to the $q$-Hermite–Weber Difference Equation
Genki Shibukawa ; Satoshi Tsuchimi

Stationary Flows Revisited
Allan P. Fordy ; Qing Huang

Darboux Transformations for Orthogonal Differential Systems and Differential Galois Theory
Primitivo B. Acosta-Humánez ; Moulay Barkatou ; Raquel Sánchez-Cauce ; Jacques-Arthur Weil

The Clebsch–Gordan Rule for $U(\mathfrak{sl}_2)$, the Krawtchouk Algebras and the Hamming Graphs
Hau-Wen Huang

Differential Antisymmetric Infinitesimal Bialgebras, Coherent Derivations and Poisson Bialgebras
Yuanchang Lin ; Xuguang Liu ; Chengming Bai

Higher Braidings of Diagonal Type
Michael Cuntz ; Tobias Ohrmann

Planar Orthogonal Polynomials as Type I Multiple Orthogonal Polynomials
Sergey Berezin ; Arno B. J. Kuijlaars ; Iván Parra

Rank $4$ Nichols Algebras of Pale Braidings
Nicolás Andruskiewitsch ; Iván Angiono ; Matías Moya Giusti

The Derived Pure Spinor Formalism as an Equivalence of Categories
Chris Elliott ; Fabian Hahner ; Ingmar Saberi

Spectral Asymmetry and Index Theory on Manifolds with Generalised Hyperbolic Cusps
Peter Hochs ; Hang Wang

Some Useful Operators on Differential Forms on Galilean and Carrollian Spacetimes
Marián Fecko

The $B_2$ Harmonic Oscillator with Reflections and Superintegrability
Charles F. Dunkl

On Generalized WKB Expansion of Monodromy Generating Function
Roman Klimov

Yamabe Invariants, Homogeneous Spaces, and Rational Complex Surfaces
Claude LeBrun

CYT and SKT Metrics on Compact Semi-Simple Lie Groups
Anna Fino ; Gueo Grantcharov

Total Mean Curvature and First Dirac Eigenvalue
Simon Raulot

Recursion Relation for Toeplitz Determinants and the Discrete Painlevé II Hierarchy
Thomas Chouteau ; Sofia Tarricone

Deformations of Symmetric Simple Modular Lie (Super)Algebras
Sofiane Bouarroudj ; Pavel Grozman ; Dimitry Leites

Derivations and Central Extensions of Symmetric Modular Lie Algebras and Superalgebras (with an Appendix by Andrey Krutov)
Sofiane Bouarroudj ; Pavel Grozman ; Alexei Lebedev ; Dimitry Leites

Spherical Induced Ensembles with Symplectic Symmetry
Sung-Soo Byun ; Peter J. Forrester

Stable Kink-Kink and Metastable Kink-Antikink Solutions
Chris Halcrow ; Egor Babaev

From pp-Waves to Galilean Spacetimes
José Figueroa-O'Farrill ; Ross Grassie ; Stefan Prohazka

Explicit Central Elements of $U_q(\mathfrak{gl}(N+1))$
Jeffrey Kuan ; Keke Zhang

On $q$-Middle Convolution and $q$-Hypergeometric Equations
Yumi Arai ; Kouichi Takemura

Shifted Substitution in Non-Commutative Multivariate Power Series with a View Toward Free Probability
Kurusch Ebrahimi-Fard ; Frédéric Patras ; Nikolas Tapia ; Lorenzo Zambotti

Double Quiver Gauge Theory and BPS/CFT Correspondence
Taro Kimura

The Double Fock Space of Type B
Marek Bożejko ; Wiktor Ejsmont

Deformations of Instanton Metrics
Roger Bielawski ; Yannic Borchard ; Sergey A. Cherkis

Solitons in the Gauged Skyrme–Maxwell Model
Leandro Roza Livramento ; Eugen Radu ; Yakov Shnir

The Asymptotic Structure of the Centred Hyperbolic 2-Monopole Moduli Space
Guido Franchetti ; Calum Ross

Deformed $w_{1+\infty}$ Algebras in the Celestial CFT
Jorge Mago ; Lecheng Ren ; Akshay Yelleshpur Srikant ; Anastasia Volovich

Notes on Worldsheet-Like Variables for Cluster Configuration Spaces
Song He ; Yihong Wang ; Yong Zhang ; Peng Zhao

Algebraic Bethe Ansatz for the Open XXZ Spin Chain with Non-Diagonal Boundary Terms via $U_{\mathfrak{q}}\mathfrak{sl}_2$ Symmetry
Dmitry Chernyak ; Azat M. Gainutdinov ; Jesper Lykke Jacobsen ; Hubert Saleur

Seiberg–Witten Geometry of Four-Dimensional $\mathcal N=2$ Quiver Gauge Theories
Nikita Nekrasov ; Vasily Pestun

Koenigs Theorem and Superintegrable Liouville Metrics
Galliano Valent

Computation of Weighted Bergman Inner Products on Bounded Symmetric Domains and Parseval–Plancherel-Type Formulas under Subgroups
Ryosuke Nakahama

On the Spectrum of Certain Hadamard Manifolds
Werner Ballmann ; Mayukh Mukherjee ; Panagiotis Polymerakis

A Skyrme Model with Novel Chiral Symmetry Breaking
Paul Sutcliffe

Single-Valued Killing Fields of a Meromorphic Affine Connection and Classification
Alexis Garcia

Index Theory of Chiral Unitaries and Split-Step Quantum Walks
Chris Bourne

Moduli Space for Kink Collisions with Moving Center of Mass
Christoph Adam ; Chris Halcrow ; Katarzyna Oles ; Tomasz Romanczukiewicz ; Andrzej Wereszczyński

Matrix Spherical Functions for $(\mathrm{SU}(n+m),\mathrm{S}(\mathrm{U}(n)\times\mathrm{U}(m)))$: Two Specific Classes
Jie Liu

Affine Nijenhuis Operators and Hochschild Cohomology of Trusses
Tomasz Brzeziński ; James Papworth

Modified Green-Hyperbolic Operators
Christopher J. Fewster

On Uniqueness of Submaximally Symmetric Vector Ordinary Differential Equations of $\mathrm{C}$-Class
Johnson Allen Kessy ; Dennis The

Ten Compatible Poisson Brackets on $\mathbb P^5$
Viille Nordstrom ; Alexander Polishchuk

On the Convex Pfaff–Darboux Theorem of Ekeland and Nirenberg
Robert L. Bryant

Polynomial Solutions Modulo $p^s$ of Differential KZ and Dynamical Equations
Pavel Etingof ; Alexander Varchenko

Separation of Variables and Superintegrability on Riemannian Coverings
Claudia Maria Chanu ; Giovanni Rastelli

Spectral Theory of the Nazarov–Sklyanin Lax Operator
Ryan Mickler ; Alexander Moll

Exponential Networks, WKB and Topological String
Alba Grassi ; Qianyu Hao ; Andrew Neitzke

Realizations of the Extended Snyder Model
Tea Martinić Bilać ; Stjepan Meljanac

Tridendriform Structures
Pierre Catoire

Real Slices of ${\rm SL}(r,\mathbb{C})$-Opers
Indranil Biswas ; Sebastian Heller ; Laura P. Schaposnik

Moduli Spaces for the Fifth Painlevé Equation
Marius van der Put ; Jaap Top

The Generalized Cluster Complex: Refined Enumeration of Faces and Related Parking Spaces
Theo Douvropoulos ; Matthieu Josuat-Vergès

Symplectic Double Extensions for Restricted Quasi-Frobenius Lie (Super)Algebras
Sofiane Bouarroudj ; Quentin Ehret ; Yoshiaki Maeda

Geometry of Gauged Skyrmions
Josh Cork ; Derek Harland

Multiplicative Characters and Gaussian Fluctuation Limits
Ryosuke Sato

Nudged Elastic Bands and Lightly Bound Skyrmions
James Martin Speight ; Thomas Winyard

Sun's Series via Cyclotomic Multiple Zeta Values
Yajun Zhou

Frobenius Monoidal Functors of Dijkgraaf–Witten Categories and Rigid Frobenius Algebras
Samuel Hannah ; Robert Laugwitz ; Ana Ros Camacho

Tensors and Algebras: An Algebraic Spacetime Interpretation for Tensor Models
Dennis Obster

The Higher-Rank Askey–Wilson Algebra and Its Braid Group Automorphisms
Nicolas Crampé ; Luc Frappat ; Loïc Poulain d'Andecy ; Eric Ragoucy

Information Geometry, Jordan Algebras, and a Coadjoint Orbit-Like Construction
Florio M. Ciaglia ; Jürgen Jost ; Lorenz J. Schwachhöfer

About a Family of ALF Instantons with Conical Singularities
Olivier Biquard ; Paul Gauduchon

A Constructive Proof for the Umemura Polynomials of the Third Painlevé Equation
Peter A. Clarkson ; Chun-Kong Law ; Chia-Hua Lin

Packing Densities of Delzant and Semitoric Polygons
Yu Du ; Gabriel Kosmacher ; Yichen Liu ; Jeff Massman ; Joseph Palmer ; Timothy Thieme ; Jerry Wu ; Zheyu Zhang

Knots and Their Related $q$-Series
Stavros Garoufalidis ; Don Zagier

Rigidity and Non-Rigidity of $\mathbb{H}^n/\mathbb{Z}^{n-2}$ with Scalar Curvature Bounded from Below
Tianze Hao ; Yuhao Hu ; Peng Liu ; Yuguang Shi

Non-Existence of S-Integrable Three-Point Partial Difference Equations in the Lattice Plane
Decio Levi ; Miguel A. Rodríguez

Diagonal Tau-Functions of 2D Toda Lattice Hierarchy, Connected $(n,m)$-Point Functions, and Double Hurwitz Numbers
Zhiyuan Wang ; Chenglang Yang

Unitarity of the SoV Transform for $\mathrm{SL}(2,\mathbb C)$ Spin Chains
Alexander N. Manashov

Deformation of the Weighted Scalar Curvature
Pak Tung Ho ; Jinwoo Shin

A Poincaré Formula for Differential Forms and Applications
Nicolas Ginoux ; Georges Habib ; Simon Raulot

Non-Stationary Difference Equation and Affine Laumon Space: Quantization of Discrete Painlevé Equation
Hidetoshi Awata ; Koji Hasegawa ; Hiroaki Kanno ; Ryo Ohkawa ; Shamil Shakirov ; Jun'ichi Shiraishi ; Yasuhiko Yamada

Para-Bannai–Ito Polynomials
Jonathan Pelletier ; Luc Vinet ; Alexei Zhedanov

Nonlinear Isocapacitary Concepts of Mass in 3-Manifolds with Nonnegative Scalar Curvature
Luca Benatti ; Mattia Fogagnolo ; Lorenzo Mazzieri

Isomonodromic Deformations Along the Caustic of a Dubrovin–Frobenius Manifold
Felipe Reyes

Vector Fields and Flows on Subcartesian Spaces
Yael Karshon ; Eugene Lerman

A $3 \times 3$ Lax Form for the $q$-Painlevé Equation of Type $E_6$
Kanam Park

DG-Enhanced Hecke and KLR Algebras
Ruslan Maksimau ; Pedro Vaz

Initial-Boundary Value Problem for the Maxwell–Bloch Equations with an Arbitrary Inhomogeneous Broadening and Periodic Boundary Function
M. Filipkovska

The Multiplication Formulas of Weighted Quantum Cluster Functions
Zhimin Chen ; Jie Xiao ; Fan Xu

Exact Correlations in Topological Quantum Chains
Nick G. Jones ; Ruben Verresen

Newton's Off-Center Circular Orbits and the Magnetic Monopole
Dipesh Bhandari ; Michael Crescimanno

Jacobi Beta Ensemble and $b$-Hurwitz Numbers
Giulio Ruzza

On the Total CR Twist of Transversal Curves in the $3$-Sphere
Emilio Musso ; Lorenzo Nicolodi

A Note on the Spectrum of Magnetic Dirac Operators
Nelia Charalambous ; Nadine Grosse

Expansions and Characterizations of Sieved Random Walk Polynomials
Stefan Kahler

Szegő Kernel and Symplectic Aspects of Spectral Transform for Extended Spaces of Rational Matrices
Marco Bertola ; Dmitry Korotkin ; Ramtin Sasani

Twist Automorphisms and Poisson Structures
Yoshiyuki Kimura ; Fan Qin ; Qiaoling Wei

Manifolds of Lie-Group-Valued Cocycles and Discrete Cohomology
Alexandru Chirvasitu ; Jun Peng

On the Motivic Class of the Moduli Stack of Twisted $G$-Covers
Massimo Bagnarol ; Fabio Perroni
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