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


Volume 15, 2019   (Current volume)


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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