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Commuting Ordinary Differential Operators and the Dixmier Test
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Emma Previato, Sonia L. Rueda and Maria-Angeles Zurro
SIGMA 15 (2019), 101, 23 pages [ abs
pdf ]
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Picard-Vessiot Extensions of Real Differential Fields
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Teresa Crespo and Zbigniew Hajto
SIGMA 15 (2019), 100, 11 pages [ abs
pdf ]
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Higher Rank Relations for the Askey-Wilson and $q$-Bannai-Ito Algebra
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Hadewijch De Clercq
SIGMA 15 (2019), 099, 32 pages [ abs
pdf ]
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Exact Bohr-Sommerfeld Conditions for the Quantum Periodic Benjamin-Ono Equation
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Alexander Moll
SIGMA 15 (2019), 098, 27 pages [ abs
pdf ]
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Fun Problems in Geometry and Beyond
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Boris Khesin and Serge Tabachnikov
SIGMA 15 (2019), 097, 21 pages [ abs
pdf ]
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The Real Jacobi Group Revisited
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Stefan Berceanu
SIGMA 15 (2019), 096, 50 pages [ abs
pdf ]
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Cohomology of Restricted Filiform Lie Algebras ${\mathfrak m}_2^\lambda(p)$
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Tyler J. Evans and Alice Fialowski
SIGMA 15 (2019), 095, 11 pages [ abs
pdf ]
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Bi-Hamiltonian Systems in (2+1) and Higher Dimensions Defined by Novikov Algebras
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Błażej M. Szablikowski
SIGMA 15 (2019), 094, 18 pages [ abs
pdf ]
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Three-Dimensional Mirror Self-Symmetry of the Cotangent Bundle of the Full Flag Variety
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Richárd Rimányi, Andrey Smirnov, Alexander Varchenko and Zijun Zhou
SIGMA 15 (2019), 093, 22 pages [ abs
pdf ]
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Correlation Functions of the Pfaffian Schur Process Using Macdonald Difference Operators
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Promit Ghosal
SIGMA 15 (2019), 092, 37 pages [ abs
pdf ]
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Locally Nilpotent Derivations of Free Algebra of Rank Two
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Vesselin Drensky and Leonid Makar-Limanov
SIGMA 15 (2019), 091, 10 pages [ abs
pdf ]
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Quasi-Polynomials and the Singular $[Q,R]=0$ Theorem
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Yiannis Loizides
SIGMA 15 (2019), 090, 15 pages [ abs
pdf ]
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Symplectic Frieze Patterns
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Sophie Morier-Genoud
SIGMA 15 (2019), 089, 36 pages [ abs
pdf ]
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Variations for Some Painlevé Equations
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Primitivo B. Acosta-Humánez, Marius van der Put and Jaap Top
SIGMA 15 (2019), 088, 10 pages [ abs
pdf ]
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On the Geometry of Extended Self-Similar Solutions of the Airy Shallow Water Equations
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Roberto Camassa, Gregorio Falqui, Giovanni Ortenzi and Marco Pedroni
SIGMA 15 (2019), 087, 17 pages [ abs
pdf ]
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The Ramificant Determinant
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Kingshook Biswas and Ricardo Pérez-Marco
SIGMA 15 (2019), 086, 28 pages [ abs
pdf ]
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Hitchin Fibrations on Two-Dimensional Moduli Spaces of Irregular Higgs Bundles with One Singular Fiber
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Péter Ivanics, András I. Stipsicz and Szilárd Szabó
SIGMA 15 (2019), 085, 28 pages [ abs
pdf ]
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Knapp-Stein Type Intertwining Operators for Symmetric Pairs II. - The Translation Principle and Intertwining Operators for Spinors
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Jan Frahm and Bent Ørsted
SIGMA 15 (2019), 084, 50 pages [ abs
pdf ]
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Collective Heavy Top Dynamics
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Tomoki Ohsawa
SIGMA 15 (2019), 083, 17 pages [ abs
pdf ]
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One Parameter Family of Jordanian Twists
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Daniel Meljanac, Stjepan Meljanac, Zoran Škoda and Rina Štrajn
SIGMA 15 (2019), 082, 16 pages [ abs
pdf ]
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A Note on the Derivatives of Isotropic Positive Definite Functions on the Hilbert Sphere
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Janin Jäger
SIGMA 15 (2019), 081, 7 pages [ abs
pdf ]
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Half-Spin Tautological Relations and Faber's Proportionalities of Kappa Classes
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Elba Garcia-Failde, Reinier Kramer, Danilo Lewański and Sergey Shadrin
SIGMA 15 (2019), 080, 27 pages [ abs
pdf ]
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Dispersionless Multi-Dimensional Integrable Systems and Related Conformal Structure Generating Equations of Mathematical Physics
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Oksana Ye. Hentosh, Yarema A. Prykarpatsky, Denis Blackmore and Anatolij K. Prykarpatski
SIGMA 15 (2019), 079, 20 pages [ abs
pdf ]
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The Transition Function of $G_2$ over $S^6$
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Ádám Gyenge
SIGMA 15 (2019), 078, 16 pages [ abs
pdf ]
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Modular Group Representations in Combinatorial Quantization with Non-Semisimple Hopf Algebras
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Matthieu Faitg
SIGMA 15 (2019), 077, 39 pages [ abs
pdf ]
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Momentum Sections in Hamiltonian Mechanics and Sigma Models
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Noriaki Ikeda
SIGMA 15 (2019), 076, 16 pages [ abs
pdf ]
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Twisted de Rham Complex on Line and Singular Vectors in $\widehat{{\mathfrak{sl}_2}}$ Verma Modules
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Alexey Slinkin and Alexander Varchenko
SIGMA 15 (2019), 075, 26 pages [ abs
pdf ]
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Combinatorial Expressions for the Tau Functions of $q$-Painlevé V and III Equations
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Yuya Matsuhira and Hajime Nagoya
SIGMA 15 (2019), 074, 17 pages [ abs
pdf ]
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A Kähler Compatible Moyal Deformation of the First Heavenly Equation
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Marco Maceda and Daniel Martínez-Carbajal
SIGMA 15 (2019), 073, 16 pages [ abs
pdf ]
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Spinorially Twisted Spin Structures. II: Twisted Pure Spinors, Special Riemannian Holonomy and Clifford Monopoles
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Rafael Herrera and Noemi Santana
SIGMA 15 (2019), 072, 48 pages [ abs
pdf ]
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Stratified Bundles on Curves and Differential Galois Groups in Positive Characteristic
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Marius van der Put
SIGMA 15 (2019), 071, 24 pages [ abs
pdf ]
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Holomorphic Distributions and Connectivity by Integral Curves of Distributions
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Vladimir A. Zorich
SIGMA 15 (2019), 070, 6 pages [ abs
pdf ]
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Separability and Symmetry Operators for Painlevé Metrics and their Conformal Deformations
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Thierry Daudé, Niky Kamran and Francois Nicoleau
SIGMA 15 (2019), 069, 42 pages [ abs
pdf ]
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Vertex Models and Spin Chains in Formulas and Pictures
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Khazret S. Nirov and Alexander V. Razumov
SIGMA 15 (2019), 068, 67 pages [ abs
pdf ]
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Ergodic Decomposition for Inverse Wishart Measures on Infinite Positive-Definite Matrices
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Theodoros Assiotis
SIGMA 15 (2019), 067, 24 pages [ abs
pdf ]
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Scalar Products in Twisted XXX Spin Chain. Determinant Representation
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Samuel Belliard and Nikita A. Slavnov
SIGMA 15 (2019), 066, 30 pages [ abs
pdf ]
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Multiparameter Schur $Q$-Functions Are Solutions of the BKP Hierarchy
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Natasha Rozhkovskaya
SIGMA 15 (2019), 065, 14 pages [ abs
pdf ]
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Lagrangian Grassmannians and Spinor Varieties in Characteristic Two
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Bert van Geemen and Alessio Marrani
SIGMA 15 (2019), 064, 22 pages [ abs
pdf ]
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Dynamic Equivalence of Control Systems and Infinite Permutation Matrices
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Jeanne N. Clelland, Yuhao Hu and Matthew W. Stackpole
SIGMA 15 (2019), 063, 16 pages [ abs
pdf ]
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Integrable Modifications of the Ito-Narita-Bogoyavlensky Equation
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Rustem N. Garifullin and Ravil I. Yamilov
SIGMA 15 (2019), 062, 15 pages [ abs
pdf ]
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Loop Equations for Gromov-Witten Invariant of $\mathbb{P}^1$
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Gaëtan Borot and Paul Norbury
SIGMA 15 (2019), 061, 29 pages [ abs
pdf ]
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Wavepackets on de Sitter Spacetime
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João C.A. Barata and Marcos Brum
SIGMA 15 (2019), 060, 22 pages [ abs
pdf ]
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Third Homology of some Sporadic Finite Groups
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Theo Johnson-Freyd and David Treumann
SIGMA 15 (2019), 059, 38 pages [ abs
pdf ]
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Linear Differential Systems with Small Coefficients: Various Types of Solvability and their Verification
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Moulay A. Barkatou and Renat R. Gontsov
SIGMA 15 (2019), 058, 15 pages [ abs
pdf ]
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Ricci Flow and Volume Renormalizability
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Eric Bahuaud, Rafe Mazzeo and Eric Woolgar
SIGMA 15 (2019), 057, 21 pages [ abs
pdf ]
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Invariant Nijenhuis Tensors and Integrable Geodesic Flows
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Konrad Lompert and Andriy Panasyuk
SIGMA 15 (2019), 056, 30 pages [ abs
pdf ]
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Differential Galois Theory and Isomonodromic Deformations
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David Blázquez Sanz, Guy Casale and Juan Sebastián Díaz Arboleda
SIGMA 15 (2019), 055, 35 pages [ abs
pdf ]
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Interpolations between Jordanian Twists Induced by Coboundary Twists
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Andrzej Borowiec, Daniel Meljanac, Stjepan Meljanac and Anna Pachoł
SIGMA 15 (2019), 054, 22 pages [ abs
pdf ]
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Orthogonal Dualities of Markov Processes and Unitary Symmetries
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Gioia Carinci, Chiara Franceschini, Cristian Giardinà, Wolter Groenevelt and Frank Redig
SIGMA 15 (2019), 053, 27 pages [ abs
pdf ]
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BPS Spectra, Barcodes and Walls
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Michele Cirafici
SIGMA 15 (2019), 052, 41 pages [ abs
pdf ]
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De Rham 2-Cohomology of Real Flag Manifolds
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Viviana del Barco and Luiz Antonio Barrera San Martin
SIGMA 15 (2019), 051, 23 pages [ abs
pdf ]
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On Direct Integral Expansion for Periodic Block-Operator Jacobi Matrices and Applications
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Leonid Golinskii and Anton Kutsenko
SIGMA 15 (2019), 050, 14 pages [ abs
pdf ]
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Heteroclinic Orbits and Nonintegrability in Two-Degree-of-Freedom Hamiltonian Systems with Saddle-Centers
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Kazuyuki Yagasaki and Shogo Yamanaka
SIGMA 15 (2019), 049, 17 pages [ abs
pdf ]
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Invariants in Separated Variables: Yang-Baxter, Entwining and Transfer Maps
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Pavlos Kassotakis
SIGMA 15 (2019), 048, 36 pages [ abs
pdf ]
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Rational KdV Potentials and Differential Galois Theory
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Sonia Jiménez, Juan J. Morales-Ruiz, Raquel Sánchez-Cauce and María-Ángeles Zurro
SIGMA 15 (2019), 047, 40 pages [ abs
pdf ]
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Meromorphic Solution of the Degenerate Third Painlevé Equation Vanishing at the Origin
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Alexander V. Kitaev
SIGMA 15 (2019), 046, 53 pages [ abs
pdf ]
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Lax Representations for Separable Systems from Benenti Class
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Maciej Błaszak and Ziemowit Domański
SIGMA 15 (2019), 045, 18 pages [ abs
pdf ]
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A Variational Perspective on Continuum Limits of ABS and Lattice GD Equations
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Mats Vermeeren
SIGMA 15 (2019), 044, 35 pages [ abs
pdf ]
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A Note on Spectral Triples on the Quantum Disk
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Slawomir Klimek, Matt McBride and John Wilson Peoples
SIGMA 15 (2019), 043, 8 pages [ abs
pdf ]
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Classification of Rank 2 Cluster Varieties
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Travis Mandel
SIGMA 15 (2019), 042, 32 pages [ abs
pdf ]
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Hecke Operators on Vector-Valued Modular Forms
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Vincent Bouchard, Thomas Creutzig and Aniket Joshi
SIGMA 15 (2019), 041, 31 pages [ abs
pdf ]
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Duality between Final-Seed and Initial-Seed Mutations in Cluster Algebras
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Shogo Fujiwara and Yasuaki Gyoda
SIGMA 15 (2019), 040, 24 pages [ abs
pdf ]
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Higgs Bundles and Geometric Structures on Manifolds
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Daniele Alessandrini
SIGMA 15 (2019), 039, 32 pages [ abs
pdf ]
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The Laurent Extension of Quantum Plane: a Complete List of $U_q(\mathfrak{sl}_2)$-Symmetries
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Sergey Sinel'shchikov
SIGMA 15 (2019), 038, 33 pages [ abs
pdf ]
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Generalised Darboux-Koenigs Metrics and 3-Dimensional Superintegrable Systems
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Allan P. Fordy and Qing Huang
SIGMA 15 (2019), 037, 30 pages [ abs
pdf ]
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Construction of Intertwining Operators between Holomorphic Discrete Series Representations
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Ryosuke Nakahama
SIGMA 15 (2019), 036, 101 pages [ abs
pdf ]
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An Introduction to Higgs Bundles via Harmonic Maps
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Qiongling Li
SIGMA 15 (2019), 035, 30 pages [ abs
pdf ]
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Jacobian Conjecture via Differential Galois Theory
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Elżbieta Adamus, Teresa Crespo and Zbigniew Hajto
SIGMA 15 (2019), 034, 7 pages [ abs
pdf ]
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$p$-Adic Properties of Hauptmoduln with Applications to Moonshine
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Ryan C. Chen, Samuel Marks and Matthew Tyler
SIGMA 15 (2019), 033, 35 pages [ abs
pdf ]
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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
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Takanori Ayano and Victor M. Buchstaber
SIGMA 15 (2019), 032, 15 pages [ abs
pdf ]
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A Family of ${\rm GL}_r$ Multiplicative Higgs Bundles on Rational Base
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Rouven Frassek and Vasily Pestun
SIGMA 15 (2019), 031, 42 pages [ abs
pdf ]
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A Self-Dual Integral Form of the Moonshine Module
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Scott Carnahan
SIGMA 15 (2019), 030, 36 pages [ abs
pdf ]
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The Horn Problem for Real Symmetric and Quaternionic Self-Dual Matrices
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Robert Coquereaux and Jean-Bernard Zuber
SIGMA 15 (2019), 029, 34 pages [ abs
pdf ]
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Explicit Solutions for a Nonlinear Vector Model on the Triangular Lattice
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V.E. Vekslerchik
SIGMA 15 (2019), 028, 17 pages [ abs
pdf ]
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A Short Guide to Orbifold Deconstruction
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Peter Bantay
SIGMA 15 (2019), 027, 10 pages [ abs
pdf ]
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Contravariant Form on Tensor Product of Highest Weight Modules
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Andrey I. Mudrov
SIGMA 15 (2019), 026, 10 pages [ abs
pdf ]
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A Solvable Deformation of Quantum Mechanics
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Alba Grassi and Marcos Mariño
SIGMA 15 (2019), 025, 42 pages [ abs
pdf ]
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On Higgs Bundles on Nodal Curves
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Marina Logares
SIGMA 15 (2019), 024, 16 pages [ abs
pdf ]
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$\tau$-Functions, Birkhoff Factorizations and Difference Equations
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Darlayne Addabbo and Maarten Bergvelt
SIGMA 15 (2019), 023, 42 pages [ abs
pdf ]
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On a Yang-Mills Type Functional
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Cătălin Gherghe
SIGMA 15 (2019), 022, 8 pages [ abs
pdf ]
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Almost Lie Algebroids and Characteristic Classes
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Marcela Popescu and Paul Popescu
SIGMA 15 (2019), 021, 12 pages [ abs
pdf ]
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Braid Group Action on Affine Yangian
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Ryosuke Kodera
SIGMA 15 (2019), 020, 28 pages [ abs
pdf ]
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Linear Representations and Frobenius Morphisms of Groupoids
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Juan Jesús Barbarán Sánchez and Laiachi El Kaoutit
SIGMA 15 (2019), 019, 33 pages [ abs
pdf ]
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Perspectives on the Asymptotic Geometry of the Hitchin Moduli Space
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Laura Fredrickson
SIGMA 15 (2019), 018, 20 pages [ abs
pdf ]
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Ghostpeakons and Characteristic Curves for the Camassa-Holm, Degasperis-Procesi and Novikov Equations
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Hans Lundmark and Budor Shuaib
SIGMA 15 (2019), 017, 51 pages [ abs
pdf ]
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The $q$-Borel Sum of Divergent Basic Hypergeometric Series ${}_r\varphi_s(a;b;q,x)$
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Shunya Adachi
SIGMA 15 (2019), 016, 12 pages [ abs
pdf ]
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A Geometric Approach to the Concept of Extensivity in Thermodynamics
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Miguel Ángel García-Ariza
SIGMA 15 (2019), 015, 14 pages [ abs
pdf ]
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Generalised Umbral Moonshine
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Miranda C.N. Cheng, Paul de Lange and Daniel P.Z. Whalen
SIGMA 15 (2019), 014, 27 pages [ abs
pdf ]
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Block-Separation of Variables: a Form of Partial Separation for Natural Hamiltonians
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Claudia Maria Chanu and Giovanni Rastelli
SIGMA 15 (2019), 013, 22 pages [ abs
pdf ]
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The Kashaev Equation and Related Recurrences
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Alexander Leaf
SIGMA 15 (2019), 012, 64 pages [ abs
pdf ]
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Decomposition of some Witten-Reshetikhin-Turaev Representations into Irreducible Factors
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Julien Korinman
SIGMA 15 (2019), 011, 25 pages [ abs
pdf ]
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Studying Deformations of Fuchsian Representations with Higgs Bundles
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Brian Collier
SIGMA 15 (2019), 010, 32 pages [ abs
pdf ]
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On Reducible Degeneration of Hyperelliptic Curves and Soliton Solutions
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Atsushi Nakayashiki
SIGMA 15 (2019), 009, 18 pages [ abs
pdf ]
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Homogeneous Real (2,3,5) Distributions with Isotropy
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Travis Willse
SIGMA 15 (2019), 008, 28 pages [ abs
pdf ]
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Supersingular Elliptic Curves and Moonshine
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Victor Manuel Aricheta
SIGMA 15 (2019), 007, 17 pages [ abs
pdf ]
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Open Problems for Painlevé Equations
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Peter A. Clarkson
SIGMA 15 (2019), 006, 20 pages [ abs
pdf ]
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Solution of an Open Problem about Two Families of Orthogonal Polynomials
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Walter Van Assche
SIGMA 15 (2019), 005, 6 pages [ abs
pdf ]
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Relations between Schoenberg Coefficients on Real and Complex Spheres of Different Dimensions
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Pier Giovanni Bissiri, Valdir A. Menegatto and Emilio Porcu
SIGMA 15 (2019), 004, 12 pages [ abs
pdf ]
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Note on Character Varieties and Cluster Algebras
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Kazuhiro Hikami
SIGMA 15 (2019), 003, 32 pages [ abs
pdf ]
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Coadjoint Orbits of Lie Algebras and Cartan Class
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Michel Goze and Elisabeth Remm
SIGMA 15 (2019), 002, 20 pages [ abs
pdf ]
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Aspects of Calabi-Yau Integrable and Hitchin Systems
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Florian Beck
SIGMA 15 (2019), 001, 25 pages [ abs
pdf ]
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