## 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 ]