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


Volume 15, 2019   (Current volume)


Half-Spin Tautological Relations and Faber's Proportionalities of Kappa Classes
Elba Garcia-Failde, Reinier Kramer, Danilo Lewański and Sergey Shadrin
SIGMA 15 (2019), 080, 27 pages [ abs   pdf ]
Dispersionless Multi-Dimensional Integrable Systems and Related Conformal Structure Generating Equations of Mathematical Physics
Oksana Ye. Hentosh, Yarema A. Prykarpatsky, Denis Blackmore and Anatolij K. Prykarpatski
SIGMA 15 (2019), 079, 20 pages [ abs   pdf ]
The Transition Function of $G_2$ over $S^6$
Ádám Gyenge
SIGMA 15 (2019), 078, 16 pages [ abs   pdf ]
Modular Group Representations in Combinatorial Quantization with Non-Semisimple Hopf Algebras
Matthieu Faitg
SIGMA 15 (2019), 077, 39 pages [ abs   pdf ]
Momentum Sections in Hamiltonian Mechanics and Sigma Models
Noriaki Ikeda
SIGMA 15 (2019), 076, 16 pages [ abs   pdf ]
Twisted de Rham Complex on Line and Singular Vectors in $\widehat{{\mathfrak{sl}_2}}$ Verma Modules
Alexey Slinkin and Alexander Varchenko
SIGMA 15 (2019), 075, 26 pages [ abs   pdf ]
Combinatorial Expressions for the Tau Functions of $q$-Painlevé V and III Equations
Yuya Matsuhira and Hajime Nagoya
SIGMA 15 (2019), 074, 17 pages [ abs   pdf ]
A Kähler Compatible Moyal Deformation of the First Heavenly Equation
Marco Maceda and Daniel Martínez-Carbajal
SIGMA 15 (2019), 073, 16 pages [ abs   pdf ]
Spinorially Twisted Spin Structures. II: Twisted Pure Spinors, Special Riemannian Holonomy and Clifford Monopoles
Rafael Herrera and Noemi Santana
SIGMA 15 (2019), 072, 48 pages [ abs   pdf ]
Stratified Bundles on Curves and Differential Galois Groups in Positive Characteristic
Marius van der Put
SIGMA 15 (2019), 071, 24 pages [ abs   pdf ]
Holomorphic Distributions and Connectivity by Integral Curves of Distributions
Vladimir A. Zorich
SIGMA 15 (2019), 070,   6 pages [ abs   pdf ]
Separability and Symmetry Operators for Painlevé Metrics and their Conformal Deformations
Thierry Daudé, Niky Kamran and Francois Nicoleau
SIGMA 15 (2019), 069, 42 pages [ abs   pdf ]
Vertex Models and Spin Chains in Formulas and Pictures
Khazret S. Nirov and Alexander V. Razumov
SIGMA 15 (2019), 068, 67 pages [ abs   pdf ]
Ergodic Decomposition for Inverse Wishart Measures on Infinite Positive-Definite Matrices
Theodoros Assiotis
SIGMA 15 (2019), 067, 24 pages [ abs   pdf ]
Scalar Products in Twisted XXX Spin Chain. Determinant Representation
Samuel Belliard and Nikita A. Slavnov
SIGMA 15 (2019), 066, 30 pages [ abs   pdf ]
Multiparameter Schur $Q$-Functions Are Solutions of the BKP Hierarchy
Natasha Rozhkovskaya
SIGMA 15 (2019), 065, 14 pages [ abs   pdf ]
Lagrangian Grassmannians and Spinor Varieties in Characteristic Two
Bert van Geemen and Alessio Marrani
SIGMA 15 (2019), 064, 22 pages [ abs   pdf ]
Dynamic Equivalence of Control Systems and Infinite Permutation Matrices
Jeanne N. Clelland, Yuhao Hu and Matthew W. Stackpole
SIGMA 15 (2019), 063, 16 pages [ abs   pdf ]
Integrable Modifications of the Ito-Narita-Bogoyavlensky Equation
Rustem N. Garifullin and Ravil I. Yamilov
SIGMA 15 (2019), 062, 15 pages [ abs   pdf ]
Loop Equations for Gromov-Witten Invariant of $\mathbb{P}^1$
Gaëtan Borot and Paul Norbury
SIGMA 15 (2019), 061, 29 pages [ abs   pdf ]
Wavepackets on de Sitter Spacetime
João C.A. Barata and Marcos Brum
SIGMA 15 (2019), 060, 22 pages [ abs   pdf ]
Third Homology of some Sporadic Finite Groups
Theo Johnson-Freyd and David Treumann
SIGMA 15 (2019), 059, 38 pages [ abs   pdf ]
Linear Differential Systems with Small Coefficients: Various Types of Solvability and their Verification
Moulay A. Barkatou and Renat R. Gontsov
SIGMA 15 (2019), 058, 15 pages [ abs   pdf ]
Ricci Flow and Volume Renormalizability
Eric Bahuaud, Rafe Mazzeo and Eric Woolgar
SIGMA 15 (2019), 057, 21 pages [ abs   pdf ]
Invariant Nijenhuis Tensors and Integrable Geodesic Flows
Konrad Lompert and Andriy Panasyuk
SIGMA 15 (2019), 056, 30 pages [ abs   pdf ]
Differential Galois Theory and Isomonodromic Deformations
David Blázquez Sanz, Guy Casale and Juan Sebastián Díaz Arboleda
SIGMA 15 (2019), 055, 35 pages [ abs   pdf ]
Interpolations between Jordanian Twists Induced by Coboundary Twists
Andrzej Borowiec, Daniel Meljanac, Stjepan Meljanac and Anna Pachoł
SIGMA 15 (2019), 054, 22 pages [ abs   pdf ]
Orthogonal Dualities of Markov Processes and Unitary Symmetries
Gioia Carinci, Chiara Franceschini, Cristian Giardinà, Wolter Groenevelt and Frank Redig
SIGMA 15 (2019), 053, 27 pages [ abs   pdf ]
BPS Spectra, Barcodes and Walls
Michele Cirafici
SIGMA 15 (2019), 052, 41 pages [ abs   pdf ]
De Rham 2-Cohomology of Real Flag Manifolds
Viviana del Barco and Luiz Antonio Barrera San Martin
SIGMA 15 (2019), 051, 23 pages [ abs   pdf ]
On Direct Integral Expansion for Periodic Block-Operator Jacobi Matrices and Applications
Leonid Golinskii and Anton Kutsenko
SIGMA 15 (2019), 050, 14 pages [ abs   pdf ]
Heteroclinic Orbits and Nonintegrability in Two-Degree-of-Freedom Hamiltonian Systems with Saddle-Centers
Kazuyuki Yagasaki and Shogo Yamanaka
SIGMA 15 (2019), 049, 17 pages [ abs   pdf ]
Invariants in Separated Variables: Yang-Baxter, Entwining and Transfer Maps
Pavlos Kassotakis
SIGMA 15 (2019), 048, 36 pages [ abs   pdf ]
Rational KdV Potentials and Differential Galois Theory
Sonia Jiménez, Juan J. Morales-Ruiz, Raquel Sánchez-Cauce and María-Ángeles Zurro
SIGMA 15 (2019), 047, 40 pages [ abs   pdf ]
Meromorphic Solution of the Degenerate Third Painlevé Equation Vanishing at the Origin
Alexander V. Kitaev
SIGMA 15 (2019), 046, 53 pages [ abs   pdf ]
Lax Representations for Separable Systems from Benenti Class
Maciej Błaszak and Ziemowit Domański
SIGMA 15 (2019), 045, 18 pages [ abs   pdf ]
A Variational Perspective on Continuum Limits of ABS and Lattice GD Equations
Mats Vermeeren
SIGMA 15 (2019), 044, 35 pages [ abs   pdf ]
A Note on Spectral Triples on the Quantum Disk
Slawomir Klimek, Matt McBride and John Wilson Peoples
SIGMA 15 (2019), 043,   8 pages [ abs   pdf ]
Classification of Rank 2 Cluster Varieties
Travis Mandel
SIGMA 15 (2019), 042, 32 pages [ abs   pdf ]
Hecke Operators on Vector-Valued Modular Forms
Vincent Bouchard, Thomas Creutzig and Aniket Joshi
SIGMA 15 (2019), 041, 31 pages [ abs   pdf ]
Duality between Final-Seed and Initial-Seed Mutations in Cluster Algebras
Shogo Fujiwara and Yasuaki Gyoda
SIGMA 15 (2019), 040, 24 pages [ abs   pdf ]
Higgs Bundles and Geometric Structures on Manifolds
Daniele Alessandrini
SIGMA 15 (2019), 039, 32 pages [ abs   pdf ]
The Laurent Extension of Quantum Plane: a Complete List of $U_q(\mathfrak{sl}_2)$-Symmetries
Sergey Sinel'shchikov
SIGMA 15 (2019), 038, 33 pages [ abs   pdf ]
Generalised Darboux-Koenigs Metrics and 3-Dimensional Superintegrable Systems
Allan P. Fordy and Qing Huang
SIGMA 15 (2019), 037, 30 pages [ abs   pdf ]
Construction of Intertwining Operators between Holomorphic Discrete Series Representations
Ryosuke Nakahama
SIGMA 15 (2019), 036, 101 pages [ abs   pdf ]
An Introduction to Higgs Bundles via Harmonic Maps
Qiongling Li
SIGMA 15 (2019), 035, 30 pages [ abs   pdf ]
Jacobian Conjecture via Differential Galois Theory
Elżbieta Adamus, Teresa Crespo and Zbigniew Hajto
SIGMA 15 (2019), 034,   7 pages [ abs   pdf ]
$p$-Adic Properties of Hauptmoduln with Applications to Moonshine
Ryan C. Chen, Samuel Marks and Matthew Tyler
SIGMA 15 (2019), 033, 35 pages [ abs   pdf ]
Construction of Two Parametric Deformation of KdV-Hierarchy and Solution in Terms of Meromorphic Functions on the Sigma Divisor of a Hyperelliptic Curve of Genus 3
Takanori Ayano and Victor M. Buchstaber
SIGMA 15 (2019), 032, 15 pages [ abs   pdf ]
A Family of ${\rm GL}_r$ Multiplicative Higgs Bundles on Rational Base
Rouven Frassek and Vasily Pestun
SIGMA 15 (2019), 031, 42 pages [ abs   pdf ]
A Self-Dual Integral Form of the Moonshine Module
Scott Carnahan
SIGMA 15 (2019), 030, 36 pages   [ abs   pdf ]
The Horn Problem for Real Symmetric and Quaternionic Self-Dual Matrices
Robert Coquereaux and Jean-Bernard Zuber
SIGMA 15 (2019), 029, 34 pages   [ abs   pdf ]
Explicit Solutions for a Nonlinear Vector Model on the Triangular Lattice
V.E. Vekslerchik
SIGMA 15 (2019), 028, 17 pages   [ abs   pdf ]
A Short Guide to Orbifold Deconstruction
Peter Bantay
SIGMA 15 (2019), 027, 10 pages   [ abs   pdf ]
Contravariant Form on Tensor Product of Highest Weight Modules
Andrey I. Mudrov
SIGMA 15 (2019), 026, 10 pages   [ abs   pdf ]
A Solvable Deformation of Quantum Mechanics
Alba Grassi and Marcos Mariño
SIGMA 15 (2019), 025, 42 pages   [ abs   pdf ]
On Higgs Bundles on Nodal Curves
Marina Logares
SIGMA 15 (2019), 024, 16 pages   [ abs   pdf ]
$\tau$-Functions, Birkhoff Factorizations and Difference Equations
Darlayne Addabbo and Maarten Bergvelt
SIGMA 15 (2019), 023, 42 pages   [ abs   pdf ]
On a Yang-Mills Type Functional
Cătălin Gherghe
SIGMA 15 (2019), 022,  8 pages   [ abs   pdf ]
Almost Lie Algebroids and Characteristic Classes
Marcela Popescu and Paul Popescu
SIGMA 15 (2019), 021, 12 pages   [ abs   pdf ]
Braid Group Action on Affine Yangian
Ryosuke Kodera
SIGMA 15 (2019), 020, 28 pages   [ abs   pdf ]
Linear Representations and Frobenius Morphisms of Groupoids
Juan Jesús Barbarán Sánchez and Laiachi El Kaoutit
SIGMA 15 (2019), 019, 33 pages   [ abs   pdf ]
Perspectives on the Asymptotic Geometry of the Hitchin Moduli Space
Laura Fredrickson
SIGMA 15 (2019), 018, 20 pages   [ abs   pdf ]
Ghostpeakons and Characteristic Curves for the Camassa-Holm, Degasperis-Procesi and Novikov Equations
Hans Lundmark and Budor Shuaib
SIGMA 15 (2019), 017, 51 pages   [ abs   pdf ]
The $q$-Borel Sum of Divergent Basic Hypergeometric Series ${}_r\varphi_s(a;b;q,x)$
Shunya Adachi
SIGMA 15 (2019), 016, 12 pages   [ abs   pdf ]
A Geometric Approach to the Concept of Extensivity in Thermodynamics
Miguel Ángel García-Ariza
SIGMA 15 (2019), 015, 14 pages   [ abs   pdf ]
Generalised Umbral Moonshine
Miranda C.N. Cheng, Paul de Lange and Daniel P.Z. Whalen
SIGMA 15 (2019), 014, 27 pages   [ abs   pdf ]
Block-Separation of Variables: a Form of Partial Separation for Natural Hamiltonians
Claudia Maria Chanu and Giovanni Rastelli
SIGMA 15 (2019), 013, 22 pages   [ abs   pdf ]
The Kashaev Equation and Related Recurrences
Alexander Leaf
SIGMA 15 (2019), 012, 64 pages   [ abs   pdf ]
Decomposition of some Witten-Reshetikhin-Turaev Representations into Irreducible Factors
Julien Korinman
SIGMA 15 (2019), 011, 25 pages   [ abs   pdf ]
Studying Deformations of Fuchsian Representations with Higgs Bundles
Brian Collier
SIGMA 15 (2019), 010, 32 pages   [ abs   pdf ]
On Reducible Degeneration of Hyperelliptic Curves and Soliton Solutions
Atsushi Nakayashiki
SIGMA 15 (2019), 009, 18 pages   [ abs   pdf ]
Homogeneous Real (2,3,5) Distributions with Isotropy
Travis Willse
SIGMA 15 (2019), 008, 28 pages   [ abs   pdf ]
Supersingular Elliptic Curves and Moonshine
Victor Manuel Aricheta
SIGMA 15 (2019), 007, 17 pages   [ abs   pdf ]
Open Problems for Painlevé Equations
Peter A. Clarkson
SIGMA 15 (2019), 006, 20 pages   [ abs   pdf ]
Solution of an Open Problem about Two Families of Orthogonal Polynomials
Walter Van Assche
SIGMA 15 (2019), 005,   6 pages   [ abs   pdf ]
Relations between Schoenberg Coefficients on Real and Complex Spheres of Different Dimensions
Pier Giovanni Bissiri, Valdir A. Menegatto and Emilio Porcu
SIGMA 15 (2019), 004, 12 pages   [ abs   pdf ]
Note on Character Varieties and Cluster Algebras
Kazuhiro Hikami
SIGMA 15 (2019), 003, 32 pages   [ abs   pdf ]
Coadjoint Orbits of Lie Algebras and Cartan Class
Michel Goze and Elisabeth Remm
SIGMA 15 (2019), 002, 20 pages   [ abs   pdf ]
Aspects of Calabi-Yau Integrable and Hitchin Systems
Florian Beck
SIGMA 15 (2019), 001, 25 pages   [ abs   pdf ]

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