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

Volume 18, 2022

The Linear Span of Uniform Matrix Product States
Claudia De Lazzari, Harshit J. Motwani and Tim Seynnaeve
SIGMA 18 (2022), 099, 18 pages [ abs   pdf ]
Complementary Modules of Weierstrass Canonical Forms
Jiryo Komeda, Shigeki Matsutani and Emma Previato
SIGMA 18 (2022), 098, 39 pages [ abs   pdf ]
Weil Classes and Decomposable Abelian Fourfolds
Bert van Geemen
SIGMA 18 (2022), 097, 18 pages [ abs   pdf ]
On the Signature of a Path in an Operator Algebra
Nicolas Gilliers and Carlo Bellingeri
SIGMA 18 (2022), 096, 43 pages [ abs   pdf ]
Virtual Classes of Representation Varieties of Upper Triangular Matrices via Topological Quantum Field Theories
Márton Hablicsek and Jesse Vogel
SIGMA 18 (2022), 095, 38 pages [ abs   pdf ]
Equivalent Integrable Metrics on the Sphere with Quartic Invariants
Andrey V. Tsiganov
SIGMA 18 (2022), 094, 19 pages [ abs   pdf ]
Topology of Almost Complex Structures on Six-Manifolds
Gustavo Granja and Aleksandar Milivojević
SIGMA 18 (2022), 093, 23 pages [ abs   pdf ]
Seven Concepts Attributed to Siméon-Denis Poisson
Yvette Kosmann-Schwarzbach
SIGMA 18 (2022), 092, 13 pages [ abs   pdf ]
Ray-Singer Torsion and the Rumin Laplacian on Lens Spaces
Akira Kitaoka
SIGMA 18 (2022), 091, 16 pages [ abs   pdf ]
A Representation-Theoretic Approach to $qq$-Characters
Henry Liu
SIGMA 18 (2022), 090, 20 pages [ abs   pdf ]
Rooted Clusters for Graph LP Algebras
Esther Banaian, Sunita Chepuri, Elizabeth Kelley and Sylvester W. Zhang
SIGMA 18 (2022), 089, 30 pages [ abs   pdf ]
On Gorenstein Fano Threefolds with an Action of a Two-Dimensional Torus
Andreas Bäuerle and Jürgen Hausen
SIGMA 18 (2022), 088, 42 pages [ abs   pdf ]
ADE Bundles over Surfaces
Yunxia Chen and Naichung Conan Leung
SIGMA 18 (2022), 087, 21 pages [ abs   pdf ]
The Weighted Ambient Metric
Jeffrey Case and Ayush Khaitan
SIGMA 18 (2022), 086, 21 pages [ abs   pdf ]
Character Vectors of Strongly Regular Vertex Operator Algebras
Cameron Franc and Geoffrey Mason
SIGMA 18 (2022), 085, 49 pages [ abs   pdf ]
Three Examples in the Dynamical Systems Theory
Mikhail B. Sevryuk
SIGMA 18 (2022), 084, 13 pages [ abs   pdf ]
Markovianity and the Thompson Group $F$
Claus Köstler and Arundhathi Krishnan
SIGMA 18 (2022), 083, 27 pages [ abs   pdf ]
Entropy of Generating Series for Nonlinear Input-Output Systems and Their Interconnections
W. Steven Gray
SIGMA 18 (2022), 082, 15 pages [ abs   pdf ]
Difference Operators and Duality for Trigonometric Gaudin and Dynamical Hamiltonians
Filipp Uvarov
SIGMA 18 (2022), 081, 41 pages [ abs   pdf ]
Connection Problem for an Extension of $q$-Hypergeometric Systems
Takahiko Nobukawa
SIGMA 18 (2022), 080, 21 pages [ abs   pdf ]
Noncolliding Macdonald Walks with an Absorbing Wall
Leonid Petrov
SIGMA 18 (2022), 079, 21 pages [ abs   pdf ]
K-Theoretic Descendent Series for Hilbert Schemes of Points on Surfaces
Noah Arbesfeld
SIGMA 18 (2022), 078, 16 pages [ abs   pdf ]
Affine Kac-Moody Algebras and Tau-Functions for the Drinfeld-Sokolov Hierarchies: the Matrix-Resolvent Method
Boris Dubrovin, Daniele Valeri and Di Yang
SIGMA 18 (2022), 077, 32 pages [ abs   pdf ]
Universality of Descendent Integrals over Moduli Spaces of Stable Sheaves on $K3$ Surfaces
Georg Oberdieck
SIGMA 18 (2022), 076, 15 pages [ abs   pdf ]
Categorial Independence and Lévy Processes
Malte Gerhold, Stephanie Lachs and Michael Schürmann
SIGMA 18 (2022), 075, 27 pages [ abs   pdf ]
The Generalized Lipkin-Meshkov-Glick Model and the Modified Algebraic Bethe Ansatz
Taras Skrypnyk
SIGMA 18 (2022), 074, 18 pages [ abs   pdf ]
Monotone Cumulant-Moment Formula and Schröder Trees
Octavio Arizmendi and Adrian Celestino
SIGMA 18 (2022), 073, 22 pages [ abs   pdf ]
Quadratic Relations of the Deformed $W$-Algebra for the Twisted Affine Lie Algebra of Type $A_{2N}^{(2)}$
Takeo Kojima
SIGMA 18 (2022), 072, 36 pages [ abs   pdf ]
Spatial Markov Semigroups Admit Hudson-Parthasarathy Dilations
Michael Skeide
SIGMA 18 (2022), 071,   8 pages [ abs   pdf ]
Bimodule Connections for Relative Line Modules over the Irreducible Quantum Flag Manifolds
Alessandro Carotenuto and Réamonn Ó Buachalla
SIGMA 18 (2022), 070, 21 pages [ abs   pdf ]
Freezing Limits for Beta-Cauchy Ensembles
Michael Voit
SIGMA 18 (2022), 069, 25 pages [ abs   pdf ]
Universal Structures in $\mathbb C$-Linear Enumerative Invariant Theories
Jacob Gross, Dominic Joyce and Yuuji Tanaka
SIGMA 18 (2022), 068, 61 pages [ abs   pdf ]
De Finetti Theorems for the Unitary Dual Group
Isabelle Baraquin, Guillaume Cébron, Uwe Franz, Laura Maassen and Moritz Weber
SIGMA 18 (2022), 067, 29 pages [ abs   pdf ]
Smooth Multisoliton Solutions of a 2-Component Peakon System with Cubic Nonlinearity
Nianhua Li and Q.P. Liu
SIGMA 18 (2022), 066, 14 pages [ abs   pdf ]
Tuning Co- and Contra-Variant Transforms: the Heisenberg Group Illustration
Amerah A. Al Ameer and Vladimir V. Kisil
SIGMA 18 (2022), 065, 21 pages [ abs   pdf ]
Mapping Class Group Representations Derived from Stated Skein Algebras
Julien Korinman
SIGMA 18 (2022), 064, 35 pages [ abs   pdf ]
A Path-Counting Analysis of Phase Shifts in Box-Ball Systems
Nicholas M. Ercolani and Jonathan Ramalheira-Tsu
SIGMA 18 (2022), 063, 42 pages [ abs   pdf ]
Geometric Models and Variation of Weights on Moduli of Parabolic Higgs Bundles over the Riemann Sphere: a Case Study
Claudio Meneses
SIGMA 18 (2022), 062, 41 pages [ abs   pdf ]
Big and Nef Tautological Vector Bundles over the Hilbert Scheme of Points
Dragos Oprea
SIGMA 18 (2022), 061, 21 pages [ abs   pdf ]
The Gauge Group and Perturbation Semigroup of an Operator System
Rui Dong
SIGMA 18 (2022), 060, 18 pages [ abs   pdf ]
Node Polynomials for Curves on Surfaces
Steven Kleiman and Ragni Piene
SIGMA 18 (2022), 059, 23 pages [ abs   pdf ]
Systolic Inequalities for Compact Quotients of Carnot Groups with Popp's Volume
Kenshiro Tashiro
SIGMA 18 (2022), 058, 16 pages [ abs   pdf ]
Equivariant Coarse (Co-)Homology Theories
Christopher Wulff
SIGMA 18 (2022), 057, 62 pages [ abs   pdf ]
$q$-Middle Convolution and $q$-Painlevé Equation
Shoko Sasaki, Shun Takagi and Kouichi Takemura
SIGMA 18 (2022), 056, 21 pages [ abs   pdf ]
Mirror Symmetry for Truncated Cluster Varieties
Benjamin Gammage and Ian Le
SIGMA 18 (2022), 055, 30 pages [ abs   pdf ]
Deformations and Cohomologies of Relative Rota-Baxter Operators on Lie Algebroids and Koszul-Vinberg Structures
Meijun Liu, Jiefeng Liu and Yunhe Sheng
SIGMA 18 (2022), 054, 26 pages [ abs   pdf ]
Pathlike Co/Bialgebras and their Antipodes with Applications to Bi- and Hopf Algebras Appearing in Topology, Number Theory and Physics
Ralph M. Kaufmann and Yang Mo
SIGMA 18 (2022), 053, 42 pages [ abs   pdf ]
Maximal Discrete Subgroups in Unitary Groups of Operator Algebras
Vadim Alekseev and Andreas Thom
SIGMA 18 (2022), 052,   7 pages [ abs   pdf ]
Quantum Toroidal Comodule Algebra of Type $A_{n-1}$ and Integrals of Motion
Boris Feigin, Michio Jimbo and Evgeny Mukhin
SIGMA 18 (2022), 051, 31 pages [ abs   pdf ]
Spherical Representations of $C^*$-Flows II: Representation System and Quantum Group Setup
Yoshimichi Ueda
SIGMA 18 (2022), 050, 43 pages [ abs   pdf ]
Functional Equations Solving Initial-Value Problems of Complex Burgers-Type Equations for One-Dimensional Log-Gases
Taiki Endo, Makoto Katori and Noriyoshi Sakuma
SIGMA 18 (2022), 049, 22 pages [ abs   pdf ]
On the Monodromy Invariant Hermitian Form for $A$-Hypergeometric Systems
Carlo Verschoor
SIGMA 18 (2022), 048, 14 pages [ abs   pdf ]
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 ]

Previous volume   Next volume

SIGMA main page