Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

Volume 19, 2023

On the Motivic Class of the Moduli Stack of Twisted $G$-Covers
Massimo Bagnarol and Fabio Perroni
SIGMA 19 (2023), 107, 31 pages [ abs   pdf ]
Manifolds of Lie-Group-Valued Cocycles and Discrete Cohomology
Alexandru Chirvasitu and Jun Peng
SIGMA 19 (2023), 106, 28 pages [ abs   pdf ]
Twist Automorphisms and Poisson Structures
Yoshiyuki Kimura, Fan Qin and Qiaoling Wei
SIGMA 19 (2023), 105, 39 pages [ abs   pdf ]
Szegő Kernel and Symplectic Aspects of Spectral Transform for Extended Spaces of Rational Matrices
Marco Bertola, Dmitry Korotkin and Ramtin Sasani
SIGMA 19 (2023), 104, 22 pages [ abs   pdf ]
Expansions and Characterizations of Sieved Random Walk Polynomials
Stefan Kahler
SIGMA 19 (2023), 103, 18 pages [ abs   pdf ]
A Note on the Spectrum of Magnetic Dirac Operators
Nelia Charalambous and Nadine Große
SIGMA 19 (2023), 102, 12 pages [ abs   pdf ]
On the Total CR Twist of Transversal Curves in the 3-Sphere
Emilio Musso and Lorenzo Nicolodi
SIGMA 19 (2023), 101, 36 pages [ abs   pdf ]
Jacobi Beta Ensemble and $b$-Hurwitz Numbers
Giulio Ruzza
SIGMA 19 (2023), 100, 18 pages [ abs   pdf ]
Newton's Off-Center Circular Orbits and the Magnetic Monopole
Dipesh Bhandari and Michael Crescimanno
SIGMA 19 (2023), 099, 10 pages [ abs   pdf ]
Exact Correlations in Topological Quantum Chains
Nick G. Jones and Ruben Verresen
SIGMA 19 (2023), 098, 54 pages [ abs   pdf ]
The Multiplication Formulas of Weighted Quantum Cluster Functions
Zhimin Chen, Jie Xiao and Fan Xu
SIGMA 19 (2023), 097, 60 pages [ abs   pdf ]
Initial-Boundary Value Problem for the Maxwell-Bloch Equations with an Arbitrary Inhomogeneous Broadening and Periodic Boundary Function
Maria Filipkovska
SIGMA 19 (2023), 096, 39 pages [ abs   pdf ]
DG-Enhanced Hecke and KLR Algebras
Ruslan Maksimau and Pedro Vaz
SIGMA 19 (2023), 095, 24 pages [ abs   pdf ]
A $3 \times 3$ Lax Form for the $q$-Painlevé Equation of Type $E_6$
Kanam Park
SIGMA 19 (2023), 094, 17 pages [ abs   pdf ]
Vector Fields and Flows on Subcartesian Spaces
Yael Karshon and Eugene Lerman
SIGMA 19 (2023), 093, 17 pages [ abs   pdf ]
Isomonodromic Deformations Along the Caustic of a Dubrovin-Frobenius Manifold
Felipe Reyes
SIGMA 19 (2023), 092, 21 pages [ abs   pdf ]
Nonlinear Isocapacitary Concepts of Mass in 3-Manifolds with Nonnegative Scalar Curvature
Luca Benatti, Mattia Fogagnolo and Lorenzo Mazzieri
SIGMA 19 (2023), 091, 29 pages [ abs   pdf ]
Para-Bannai-Ito Polynomials
Jonathan Pelletier, Luc Vinet and Alexei Zhedanov
SIGMA 19 (2023), 090, 19 pages [ abs   pdf ]
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 and Yasuhiko Yamada
SIGMA 19 (2023), 089, 47 pages [ abs   pdf ]
A Poincaré Formula for Differential Forms and Applications
Nicolas Ginoux, Georges Habib and Simon Raulot
SIGMA 19 (2023), 088, 17 pages [ abs   pdf ]
Deformation of the Weighted Scalar Curvature
Pak Tung Ho and Jinwoo Shin
SIGMA 19 (2023), 087, 15 pages [ abs   pdf ]
Unitarity of the SoV Transform for $\mathrm{SL}(2,\mathbb C)$ Spin Chains
Alexander N. Manashov
SIGMA 19 (2023), 086, 24 pages [ abs   pdf ]
Diagonal Tau-Functions of 2D Toda Lattice Hierarchy, Connected $(n,m)$-Point Functions, and Double Hurwitz Numbers
Zhiyuan Wang and Chenglang Yang
SIGMA 19 (2023), 085, 33 pages [ abs   pdf ]
Non-Existence of S-Integrable Three-Point Partial Difference Equations in the Lattice Plane
Decio Levi and Miguel A. Rodríguez
SIGMA 19 (2023), 084,   7 pages [ abs   pdf ]
Rigidity and Non-Rigidity of $\mathbb{H}^n/\mathbb{Z}^{n-2}$ with Scalar Curvature Bounded from Below
Tianze Hao, Yuhao Hu, Peng Liu and Yuguang Shi
SIGMA 19 (2023), 083, 28 pages [ abs   pdf ]
Knots and Their Related $q$-Series
Stavros Garoufalidis and Don Zagier
SIGMA 19 (2023), 082, 39 pages [ abs   pdf ]
Packing Densities of Delzant and Semitoric Polygons
Yu Du, Gabriel Kosmacher, Yichen Liu, Jeff Massman, Joseph Palmer, Timothy Thieme, Jerry Wu and Zheyu Zhang
SIGMA 19 (2023), 081, 42 pages [ abs   pdf ]
A Constructive Proof for the Umemura Polynomials of the Third Painlevé Equation
Peter A. Clarkson, Chun-Kong Law and Chia-Hua Lin
SIGMA 19 (2023), 080, 20 pages [ abs   pdf ]
About a Family of ALF Instantons with Conical Singularities
Olivier Biquard and Paul Gauduchon
SIGMA 19 (2023), 079, 19 pages [ abs   pdf ]
Information Geometry, Jordan Algebras, and a Coadjoint Orbit-Like Construction
Florio M. Ciaglia, Jürgen Jost and Lorenz J. Schwachhöfer
SIGMA 19 (2023), 078, 27 pages [ abs   pdf ]
The Higher-Rank Askey-Wilson Algebra and Its Braid Group Automorphisms
Nicolas Crampé, Luc Frappat, Loïc Poulain d'Andecy and Eric Ragoucy
SIGMA 19 (2023), 077, 36 pages [ abs   pdf ]
Tensors and Algebras: An Algebraic Spacetime Interpretation for Tensor Models
Dennis Obster
SIGMA 19 (2023), 076, 43 pages [ abs   pdf ]
Frobenius Monoidal Functors of Dijkgraaf-Witten Categories and Rigid Frobenius Algebras
Samuel Hannah, Robert Laugwitz and Ana Ros Camacho
SIGMA 19 (2023), 075, 42 pages [ abs   pdf ]
Sun's Series via Cyclotomic Multiple Zeta Values
Yajun Zhou
SIGMA 19 (2023), 074, 20 pages [ abs   pdf ]
Nudged Elastic Bands and Lightly Bound Skyrmions
James Martin Speight and Thomas Winyard
SIGMA 19 (2023), 073, 26 pages [ abs   pdf ]
Multiplicative Characters and Gaussian Fluctuation Limits
Ryosuke Sato
SIGMA 19 (2023), 072, 19 pages [ abs   pdf ]
Geometry of Gauged Skyrmions
Josh Cork and Derek Harland
SIGMA 19 (2023), 071, 30 pages [ abs   pdf ]
Symplectic Double Extensions for Restricted Quasi-Frobenius Lie (Super)Algebras
Sofiane Bouarroudj, Quentin Ehret and Yoshiaki Maeda
SIGMA 19 (2023), 070, 29 pages [ abs   pdf ]
The Generalized Cluster Complex: Refined Enumeration of Faces and Related Parking Spaces
Theo Douvropoulos and Matthieu Josuat-Vergès
SIGMA 19 (2023), 069, 40 pages [ abs   pdf ]
Moduli Spaces for the Fifth Painlevé Equation
Marius van der Put and Jaap Top
SIGMA 19 (2023), 068, 26 pages [ abs   pdf ]
Real Slices of ${\rm SL}(r,\mathbb{C})$-Opers
Indranil Biswas, Sebastian Heller and Laura P. Schaposnik
SIGMA 19 (2023), 067, 23 pages [ abs   pdf ]
Tridendriform Structures
Pierre Catoire
SIGMA 19 (2023), 066, 36 pages [ abs   pdf ]
Realizations of the Extended Snyder Model
Tea Martinić Bilać and Stjepan Meljanac
SIGMA 19 (2023), 065, 11 pages [ abs   pdf ]
Exponential Networks, WKB and Topological String
Alba Grassi, Qianyu Hao and Andrew Neitzke
SIGMA 19 (2023), 064, 44 pages [ abs   pdf ]
Spectral Theory of the Nazarov-Sklyanin Lax Operator
Ryan Mickler and Alexander Moll
SIGMA 19 (2023), 063, 22 pages [ abs   pdf ]
Separation of Variables and Superintegrability on Riemannian Coverings
Claudia Maria Chanu and Giovanni Rastelli
SIGMA 19 (2023), 062, 18 pages [ abs   pdf ]
Polynomial Solutions Modulo $p^s$ of Differential KZ and Dynamical Equations
Pavel Etingof and Alexander Varchenko
SIGMA 19 (2023), 061, 16 pages [ abs   pdf ]
On the Convex Pfaff-Darboux Theorem of Ekeland and Nirenberg
Robert L. Bryant
SIGMA 19 (2023), 060, 10 pages [ abs   pdf ]
Ten Compatible Poisson Brackets on $\mathbb P^5$
Ville Nordstrom and Alexander Polishchuk
SIGMA 19 (2023), 059, 10 pages [ abs   pdf ]
On Uniqueness of Submaximally Symmetric Vector Ordinary Differential Equations of C-Class
Johnson Allen Kessy and Dennis The
SIGMA 19 (2023), 058, 29 pages [ abs   pdf ]
Modified Green-Hyperbolic Operators
Christopher J. Fewster
SIGMA 19 (2023), 057, 27 pages [ abs   pdf ]
Affine Nijenhuis Operators and Hochschild Cohomology of Trusses
Tomasz Brzeziński and James Papworth
SIGMA 19 (2023), 056, 22 pages [ abs   pdf ]
Matrix Spherical Functions for $(\mathrm{SU}(n+m),\mathrm{S}(\mathrm{U}(n)\times \mathrm{U}(m)))$: Two Specific Classes
Jie Liu
SIGMA 19 (2023), 055, 33 pages [ abs   pdf ]
Moduli Space for Kink Collisions with Moving Center of Mass
Christoph Adam, Chris Halcrow, Katarzyna Oles, Tomasz Romanczukiewicz and Andrzej Wereszczynski
SIGMA 19 (2023), 054, 18 pages [ abs   pdf ]
Index Theory of Chiral Unitaries and Split-Step Quantum Walks
Chris Bourne
SIGMA 19 (2023), 053, 39 pages [ abs   pdf ]
Single-Valued Killing Fields of a Meromorphic Affine Connection and Classification
Alexis Garcia
SIGMA 19 (2023), 052, 35 pages [ abs   pdf ]
A Skyrme Model with Novel Chiral Symmetry Breaking
Paul Sutcliffe
SIGMA 19 (2023), 051,   8 pages [ abs   pdf ]
On the Spectrum of Certain Hadamard Manifolds
Werner Ballmann, Mayukh Mukherjee and Panagiotis Polymerakis
SIGMA 19 (2023), 050, 19 pages [ abs   pdf ]
Computation of Weighted Bergman Inner Products on Bounded Symmetric Domains and Parseval-Plancherel-Type Formulas under Subgroups
Ryosuke Nakahama
SIGMA 19 (2023), 049, 74 pages [ abs   pdf ]
Koenigs Theorem and Superintegrable Liouville Metrics
Galliano Valent
SIGMA 19 (2023), 048, 23 pages [ abs   pdf ]
Seiberg-Witten Geometry of Four-Dimensional $\mathcal N=2$ Quiver Gauge Theories
Nikita Nekrasov and Vasily Pestun
SIGMA 19 (2023), 047, 141 pages [ abs   pdf ]
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 and Hubert Saleur
SIGMA 19 (2023), 046, 47 pages [ abs   pdf ]
Notes on Worldsheet-Like Variables for Cluster Configuration Spaces
Song He, Yihong Wang, Yong Zhang and Peng Zhao
SIGMA 19 (2023), 045, 24 pages [ abs   pdf ]
Deformed $w_{1+\infty}$ Algebras in the Celestial CFT
Jorge Mago, Lecheng Ren, Akshay Yelleshpur Srikant and Anastasia Volovich
SIGMA 19 (2023), 044, 18 pages [ abs   pdf ]
The Asymptotic Structure of the Centred Hyperbolic 2-Monopole Moduli Space
Guido Franchetti and Calum Ross
SIGMA 19 (2023), 043, 15 pages [ abs   pdf ]
Solitons in the Gauged Skyrme-Maxwell Model
Leandro Roza Livramento, Eugen Radu and Yakov Shnir
SIGMA 19 (2023), 042, 17 pages [ abs   pdf ]
Deformations of Instanton Metrics
Roger Bielawski, Yannic Borchard and Sergey A. Cherkis
SIGMA 19 (2023), 041, 11 pages [ abs   pdf ]
The Double Fock Space of Type B
Marek Bożejko and Wiktor Ejsmont
SIGMA 19 (2023), 040, 22 pages [ abs   pdf ]
Double Quiver Gauge Theory and BPS/CFT Correspondence
Taro Kimura
SIGMA 19 (2023), 039, 32 pages [ abs   pdf ]
Shifted Substitution in Non-Commutative Multivariate Power Series with a View Toward Free Probability
Kurusch Ebrahimi-Fard, Frédéric Patras, Nikolas Tapia and Lorenzo Zambotti
SIGMA 19 (2023), 038, 17 pages [ abs   pdf ]
On $q$-Middle Convolution and $q$-Hypergeometric Equations
Yumi Arai and Kouichi Takemura
SIGMA 19 (2023), 037, 40 pages [ abs   pdf ]
Explicit Central Elements of $U_q(\mathfrak{gl}(N+1))$
Jeffrey Kuan and Keke Zhang
SIGMA 19 (2023), 036, 13 pages [ abs   pdf ]
From pp-Waves to Galilean Spacetimes
José Figueroa-O'Farrill, Ross Grassie and Stefan Prohazka
SIGMA 19 (2023), 035, 16 pages [ abs   pdf ]
Stable Kink-Kink and Metastable Kink-Antikink Solutions
Chris Halcrow and Egor Babaev
SIGMA 19 (2023), 034, 13 pages [ abs   pdf ]
Spherical Induced Ensembles with Symplectic Symmetry
Sung-Soo Byun and Peter J. Forrester
SIGMA 19 (2023), 033, 28 pages [ abs   pdf ]
Derivations and Central Extensions of Symmetric Modular Lie Algebras and Superalgebras (with an Appendix by Andrey Krutov)
Sofiane Bouarroudj, Pavel Grozman, Alexei Lebedev and Dimitry Leites
SIGMA 19 (2023), 032, 73 pages [ abs   pdf ]
Deformations of Symmetric Simple Modular Lie (Super)Algebras
Sofiane Bouarroudj, Pavel Grozman and Dimitry Leites
SIGMA 19 (2023), 031, 66 pages [ abs   pdf ]
Recursion Relation for Toeplitz Determinants and the Discrete Painlevé II Hierarchy
Thomas Chouteau and Sofia Tarricone
SIGMA 19 (2023), 030, 30 pages [ abs   pdf ]
Total Mean Curvature and First Dirac Eigenvalue
Simon Raulot
SIGMA 19 (2023), 029, 14 pages [ abs   pdf ]
CYT and SKT Metrics on Compact Semi-Simple Lie Groups
Anna Fino and Gueo Grantcharov
SIGMA 19 (2023), 028, 15 pages [ abs   pdf ]
Yamabe Invariants, Homogeneous Spaces, and Rational Complex Surfaces
Claude LeBrun
SIGMA 19 (2023), 027, 11 pages [ abs   pdf ]
On Generalized WKB Expansion of Monodromy Generating Function
Roman Klimov
SIGMA 19 (2023), 026, 36 pages [ abs   pdf ]
The $B_{2}$ Harmonic Oscillator with Reflections and Superintegrability
Charles F. Dunkl
SIGMA 19 (2023), 025, 18 pages [ abs   pdf ]
Some Useful Operators on Differential Forms on Galilean and Carrollian Spacetimes
Marián Fecko
SIGMA 19 (2023), 024, 24 pages [ abs   pdf ]
Spectral Asymmetry and Index Theory on Manifolds with Generalised Hyperbolic Cusps
Peter Hochs and Hang Wang
SIGMA 19 (2023), 023, 32 pages [ abs   pdf ]
The Derived Pure Spinor Formalism as an Equivalence of Categories
Chris Elliott, Fabian Hahner and Ingmar Saberi
SIGMA 19 (2023), 022, 37 pages [ abs   pdf ]
Rank 4 Nichols Algebras of Pale Braidings
Nicolás Andruskiewitsch, Iván Angiono and Matías Moya Giusti
SIGMA 19 (2023), 021, 41 pages [ abs   pdf ]
Planar Orthogonal Polynomials as Type I Multiple Orthogonal Polynomials
Sergey Berezin, Arno B.J. Kuijlaars and Iván Parra
SIGMA 19 (2023), 020, 18 pages [ abs   pdf ]
Higher Braidings of Diagonal Type
Michael Cuntz and Tobias Ohrmann
SIGMA 19 (2023), 019, 23 pages [ abs   pdf ]
Differential Antisymmetric Infinitesimal Bialgebras, Coherent Derivations and Poisson Bialgebras
Yuanchang Lin, Xuguang Liu and Chengming Bai
SIGMA 19 (2023), 018, 47 pages [ abs   pdf ]
The Clebsch-Gordan Rule for $U(\mathfrak{sl}_2)$, the Krawtchouk Algebras and the Hamming Graphs
Hau-Wen Huang
SIGMA 19 (2023), 017, 19 pages [ abs   pdf ]
Darboux Transformations for Orthogonal Differential Systems and Differential Galois Theory
Primitivo Acosta-Humánez, Moulay Barkatou, Raquel Sánchez-Cauce and Jacques-Arthur Weil
SIGMA 19 (2023), 016, 29 pages [ abs   pdf ]
Stationary Flows Revisited
Allan P. Fordy and Qing Huang
SIGMA 19 (2023), 015, 34 pages [ abs   pdf ]
A Generalization of Zwegers' $\mu$-Function According to the $q$-Hermite-Weber Difference Equation
Genki Shibukawa and Satoshi Tsuchimi
SIGMA 19 (2023), 014, 23 pages [ abs   pdf ]
Moduli Space of Factorized Ramified Connections and Generalized Isomonodromic Deformation
Michi-aki Inaba
SIGMA 19 (2023), 013, 72 pages [ abs   pdf ]
Spin${}^h$ Manifolds
H. Blaine Lawson Jr.
SIGMA 19 (2023), 012,   7 pages [ abs   pdf ]
Refined and Generalized $\hat{Z}$ Invariants for Plumbed 3-Manifolds
Song Jin Ri
SIGMA 19 (2023), 011, 27 pages [ abs   pdf ]
Non-Semisimple TQFT's and BPS $q$-Series
Francesco Costantino, Sergei Gukov and Pavel Putrov
SIGMA 19 (2023), 010, 71 pages [ abs   pdf ]
Quantum Curves, Resurgence and Exact WKB
Murad Alim, Lotte Hollands and Iván Tulli
SIGMA 19 (2023), 009, 82 pages [ abs   pdf ]
An Askey-Wilson Algebra of Rank 2
Wolter Groenevelt and Carel Wagenaar
SIGMA 19 (2023), 008, 35 pages [ abs   pdf ]
On the Fourth-Order Lattice Gel'fand-Dikii Equations
Guesh Yfter Tela, Song-Lin Zhao and Da-Jun Zhang
SIGMA 19 (2023), 007, 30 pages [ abs   pdf ]
Shuffle Algebras and Non-Commutative Probability for Pairs of Faces
Joscha Diehl, Malte Gerhold and Nicolas Gilliers
SIGMA 19 (2023), 006, 50 pages [ abs   pdf ]
On Asymptotically Locally Hyperbolic Metrics with Negative Mass
Piotr T. Chruściel and Erwann Delay
SIGMA 19 (2023), 005, 15 pages [ abs   pdf ]
Law of Large Numbers for Roots of Finite Free Multiplicative Convolution of Polynomials
Katsunori Fujie and Yuki Ueda
SIGMA 19 (2023), 004, 11 pages [ abs   pdf ]
A Note on Coupled Dirac Operators
Nigel J. Hitchin
SIGMA 19 (2023), 003,   9 pages [ abs   pdf ]
A Cable Knot and BPS-Series
John Chae
SIGMA 19 (2023), 002, 12 pages [ abs   pdf ]
A Novel Potential Featuring Off-Center Circular Orbits
Maxim Olshanii
SIGMA 19 (2023), 001,   8 pages [ abs   pdf ]

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