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


Volume 18, 2022   (Current volume)


Determinantal Formulas for Exceptional Orthogonal Polynomials
Brian Simanek
SIGMA 18 (2022), 047, 16 pages [ abs   pdf ]
Tropical Mirror Symmetry in Dimension One
Janko Böhm, Christoph Goldner and Hannah Markwig
SIGMA 18 (2022), 046, 30 pages [ abs   pdf ]
From Twistor-Particle Models to Massive Amplitudes
Giulia Albonico, Yvonne Geyer and Lionel Mason
SIGMA 18 (2022), 045, 21 pages [ abs   pdf ]
Field Calculus: Quantum and Statistical Field Theory without the Feynman Diagrams
John E. Gough
SIGMA 18 (2022), 044, 15 pages [ abs   pdf ]
Difference Equation for Quintic 3-Fold
Yaoxinog Wen
SIGMA 18 (2022), 043, 25 pages [ abs   pdf ]
Relating Stated Skein Algebras and Internal Skein Algebras
Benjamin Haïoun
SIGMA 18 (2022), 042, 39 pages [ abs   pdf ]
Expansion for a Fundamental Solution of Laplace's Equation in Flat-Ring Cyclide Coordinates
Lijuan Bi, Howard S. Cohl and Hans Volkmer
SIGMA 18 (2022), 041, 31 pages [ abs   pdf ]
Dirac Operators for the Dunkl Angular Momentum Algebra
Kieran Calvert and Marcelo De Martino
SIGMA 18 (2022), 040, 18 pages [ abs   pdf ]
Doubly Exotic $N$th-Order Superintegrable Classical Systems Separating in Cartesian Coordinates
İsmet Yurduşen, Adrián Mauricio Escobar-Ruiz and Irlanda Palma y Meza Montoya
SIGMA 18 (2022), 039, 20 pages [ abs   pdf ]
Geometrical Aspects of the Hamiltonization Problem of Dynamical Systems
Misael Avendaño-Camacho, Claudio César García-Mendoza, José Crispín Ruíz-Pantaleón and Eduardo Velasco-Barreras
SIGMA 18 (2022), 038, 29 pages [ abs   pdf ]
Reduction of the 2D Toda Hierarchy and Linear Hodge Integrals
Si-Qi Liu, Zhe Wang and Youjin Zhang
SIGMA 18 (2022), 037, 18 pages [ abs   pdf ]
A Combinatorial Description of Certain Polynomials Related to the XYZ Spin Chain. II. The Polynomials $p_n$
Linnea Hietala
SIGMA 18 (2022), 036, 20 pages [ abs   pdf ]
The Generalized Fibonacci Oscillator as an Open Quantum System
Franco Fagnola, Chul Ki Ko and Hyun Jae Yoo
SIGMA 18 (2022), 035, 19 pages [ abs   pdf ]
Witten-Reshetikhin-Turaev Invariants, Homological Blocks, and Quantum Modular Forms for Unimodular Plumbing H-Graphs
Akihito Mori and Yuya Murakami
SIGMA 18 (2022), 034, 20 pages [ abs   pdf ]
Computation of Weighted Bergman Inner Products on Bounded Symmetric Domains and Restriction to Subgroups
Ryosuke Nakahama
SIGMA 18 (2022), 033, 105 pages [ abs   pdf ]
Properties of the Non-Autonomous Lattice Sine-Gordon Equation: Consistency around a Broken Cube Property
Nobutaka Nakazono
SIGMA 18 (2022), 032,   8 pages [ abs   pdf ]
Spinors in Five-Dimensional Contact Geometry
Michael Eastwood and Timothy Moy
SIGMA 18 (2022), 031, 19 pages [ abs   pdf ]
Deformations of Dimer Models
Akihiro Higashitani and Yusuke Nakajima
SIGMA 18 (2022), 030, 53 pages [ abs   pdf ]
A Characterisation of Smooth Maps into a Homogeneous Space
Anthony D. Blaom
SIGMA 18 (2022), 029, 15 pages [ abs   pdf ]
Pullback Coherent States, Squeezed States and Quantization
Rukmini Dey and Kohinoor Ghosh
SIGMA 18 (2022), 028, 14 pages [ abs   pdf ]
Twistor Theory of Dancing Paths
Maciej Dunajski
SIGMA 18 (2022), 027, 13 pages [ abs   pdf ]
Cohomology of $\mathfrak{sl}_3$ and $\mathfrak{gl}_3$ with Coefficients in Simple Modules and Weyl Modules in Positive Characteristics
Sherali Sh. Ibraev
SIGMA 18 (2022), 026, 17 pages [ abs   pdf ]
Unrestricted Quantum Moduli Algebras. I. The Case of Punctured Spheres
Stéphane Baseilhac and Philippe Roche
SIGMA 18 (2022), 025, 78 pages [ abs   pdf ]
Accessory Parameters for Four-Punctured Spheres
Gabriele Bogo
SIGMA 18 (2022), 024, 20 pages [ abs   pdf ]
Post-Lie Magnus Expansion and BCH-Recursion
Mahdi J. Hasan Al-Kaabi, Kurusch Ebrahimi-Fard and Dominique Manchon
SIGMA 18 (2022), 023, 16 pages [ abs   pdf ]
Deformed Quantum Phase Spaces, Realizations, Star Products and Twists
Stjepan Meljanac and Rina Štrajn
SIGMA 18 (2022), 022, 20 pages [ abs   pdf ]
On the Quantum K-Theory of the Quintic
Stavros Garoufalidis and Emanuel Scheidegger
SIGMA 18 (2022), 021, 20 pages [ abs   pdf ]
A Note on Multi-Oriented Graph Complexes and Deformation Quantization of Lie Bialgebroids
Kevin Morand
SIGMA 18 (2022), 020, 38 pages [ abs   pdf ]
Classification of the Orthogonal Separable Webs for the Hamilton-Jacobi and Klein-Gordon Equations on 3-Dimensional Minkowski Space
Carlos Valero and Raymond G. Mclenaghan
SIGMA 18 (2022), 019, 28 pages [ abs   pdf ]
Algebras of Non-Local Screenings and Diagonal Nichols Algebras
Ilaria Flandoli and Simon D. Lentner
SIGMA 18 (2022), 018, 81 pages [ abs   pdf ]
The Exponential Map for Hopf Algebras
Ghaliah Alhamzi and Edwin Beggs
SIGMA 18 (2022), 017, 17 pages [ abs   pdf ]
Celestial $w_{1+\infty}$ Symmetries from Twistor Space
Tim Adamo, Lionel Mason and Atul Sharma
SIGMA 18 (2022), 016, 23 pages [ abs   pdf ]
An Atiyah Sequence for Noncommutative Principal Bundles
Kay Schwieger and Stefan Wagner
SIGMA 18 (2022), 015, 22 pages [ abs   pdf ]
$q$-Selberg Integrals and Koornwinder Polynomials
Jyoichi Kaneko
SIGMA 18 (2022), 014, 35 pages [ abs   pdf ]
Modular Ordinary Differential Equations on ${\rm SL}(2,\mathbb{Z})$ of Third Order and Applications
Zhijie Chen, Chang-Shou Lin and Yifan Yang
SIGMA 18 (2022), 013, 50 pages [ abs   pdf ]
A Quantum $0-\infty$ Law
Michel Bauer
SIGMA 18 (2022), 012, 12 pages [ abs   pdf ]
Explicit Triangular Decoupling of the Separated Lichnerowicz Tensor Wave Equation on Schwarzschild into Scalar Regge-Wheeler Equations
Igor Khavkine
SIGMA 18 (2022), 011, 57 pages [ abs   pdf ]
Relationships Between Hyperelliptic Functions of Genus 2 and Elliptic Functions
Takanori Ayano and Victor M. Buchstaber
SIGMA 18 (2022), 010, 30 pages [ abs   pdf ]
Twisted Traces and Positive Forms on Generalized $q$-Weyl Algebras
Daniil Klyuev
SIGMA 18 (2022), 009, 28 pages [ abs   pdf ]
Simplified Forms of the Transition Probabilities of the Two-Species ASEP with Some Initial Orders of Particles
Eunghyun Lee and Temirlan Raimbekov
SIGMA 18 (2022), 008, 24 pages [ abs   pdf ]
Scaling Limits of Planar Symplectic Ensembles
Gernot Akemann, Sung-Soo Byun and Nam-Gyu Kang
SIGMA 18 (2022), 007, 40 pages [ abs   pdf ]
Novikov-Veselov Symmetries of the Two-Dimensional $O(N)$ Sigma Model
Igor Krichever and Nikita Nekrasov
SIGMA 18 (2022), 006, 37 pages [ abs   pdf ]
Ladder Operators and Hidden Algebras for Shape Invariant Nonseparable and Nondiagonalizable Modelswith Quadratic Complex Interaction. II. Three-Dimensional Model
Ian Marquette and Christiane Quesne
SIGMA 18 (2022), 005, 24 pages [ abs   pdf ]
Ladder Operators and Hidden Algebras for Shape Invariant Nonseparable and Nondiagonalizable Modelswith Quadratic Complex Interaction. I. Two-Dimensional Model
Ian Marquette and Christiane Quesne
SIGMA 18 (2022), 004, 11 pages [ abs   pdf ]
A Unified View on Geometric Phases and Exceptional Points in Adiabatic Quantum Mechanics
Eric J. Pap, Daniël Boer and Holger Waalkens
SIGMA 18 (2022), 003, 42 pages [ abs   pdf ]
Voros Coefficients at the Origin and at the Infinity of the Generalized Hypergeometric Differential Equations with a Large Parameter
Takashi Aoki and Shofu Uchida
SIGMA 18 (2022), 002, 23 pages [ abs   pdf ]
Tau Function and Moduli of Meromorphic Quadratic Differentials
Dmitry Korotkin and Peter Zograf
SIGMA 18 (2022), 001, 10 pages [ abs   pdf ]

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