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


Volume 13, 2017   (Current volume)


Darboux and Binary Darboux Transformations for Discrete Integrable Systems. II. Discrete Potential mKdV Equation
Ying Shi, Jonathan Nimmo and Junxiao Zhao
SIGMA 13 (2017), 036, 18 pages   [ abs   pdf ]
Liouville Correspondences between Integrable Hierarchies
Jing Kang, Xiaochuan Liu, Peter J. Olver and Changzheng Qu
SIGMA 13 (2017), 035, 26 pages   [ abs   pdf ]
Formal Integrals and Noether Operators of Nonlinear Hyperbolic Partial Differential Systems Admitting a Rich Set of Symmetries
Sergey Ya. Startsev
SIGMA 13 (2017), 034, 20 pages   [ abs   pdf ]
Contact Isotropic Realisations of Jacobi Manifolds via Spencer Operators
María Amelia Salazar and Daniele Sepe
SIGMA 13 (2017), 033, 44 pages   [ abs   pdf ]
Local Generalized Symmetries and Locally Symmetric Parabolic Geometries
Jan Gregorovič and Lenka Zalabová
SIGMA 13 (2017), 032, 33 pages   [ abs   pdf ]
Zamolodchikov Tetrahedral Equation and Higher Hamiltonians of $2d$ Quantum Integrable Systems
Dmitry V. Talalaev
SIGMA 13 (2017), 031, 14 pages   [ abs   pdf ]
GKZ Hypergeometric Series for the Hesse Pencil, Chain Integrals and Orbifold Singularities
Jie Zhou
SIGMA 13 (2017), 030, 32 pages   [ abs   pdf ]
Isomonodromy for the Degenerate Fifth Painlevé Equation
Primitivo B. Acosta-Humánez, Marius van der Put and Jaap Top
SIGMA 13 (2017), 029, 14 pages   [ abs   pdf ]
A Complete Set of Invariants for LU-Equivalence of Density Operators
Jacob Turner and Jason Morton
SIGMA 13 (2017), 028, 20 pages   [ abs   pdf ]
Rigidity and Vanishing Theorems for Almost Even-Clifford Hermitian Manifolds
Ana Lucia Garcia-Pulido and Rafael Herrera
SIGMA 13 (2017), 027, 28 pages   [ abs   pdf ]
Another Approach to Juhl's Conformally Covariant Differential Operators from $S^n$ to $S^{n-1}$
Jean-Louis Clerc
SIGMA 13 (2017), 026, 18 pages   [ abs   pdf ]
Multi-Poisson Approach to the Painlevé Equations: from the Isospectral Deformation to the Isomonodromic Deformation
Hayato Chiba
SIGMA 13 (2017), 025, 27 pages   [ abs   pdf ]
Doran-Harder-Thompson Conjecture via SYZ Mirror Symmetry: Elliptic Curves
Atsushi Kanazawa
SIGMA 13 (2017), 024, 13 pages   [ abs   pdf ]
On Toric Poisson Structures of Type $(1,1)$ and their Cohomology
Arlo Caine and Berit Nilsen Givens
SIGMA 13 (2017), 023, 16 pages   [ abs   pdf ]
$G$-Invariant Deformations of Almost-Coupling Poisson Structures
José Antonio Vallejo and Yury Vorobiev
SIGMA 13 (2017), 022, 13 pages   [ abs   pdf ]
Central Configurations and Mutual Differences
D.L. Ferrario
SIGMA 13 (2017), 021, 11 pages   [ abs   pdf ]
Simplified Expressions of the Multi-Indexed Laguerre and Jacobi Polynomials
Satoru Odake and Ryu Sasaki
SIGMA 13 (2017), 020, 10 pages   [ abs   pdf ]
Lagrangian Mechanics and Reduction on Fibered Manifolds
Songhao Li, Ari Stern and Xiang Tang
SIGMA 13 (2017), 019, 26 pages   [ abs   pdf ]
Ermakov-Painlevé II Symmetry Reduction of a Korteweg Capillarity System
Colin Rogers and Peter A. Clarkson
SIGMA 13 (2017), 018, 20 pages   [ abs   pdf ]
Klein's Fundamental 2-Form of Second Kind for the $C_{ab}$ Curves
Joe Suzuki
SIGMA 13 (2017), 017, 13 pages   [ abs   pdf ]
Some Open Problems in Random Matrix Theory and the Theory of Integrable Systems. II
Percy Deift
SIGMA 13 (2017), 016, 23 pages   [ abs   pdf ]
Bethe Vectors for Composite Models with $\mathfrak{gl}(2|1)$ and $\mathfrak{gl}(1|2)$ Supersymmetry
Jan Fuksa
SIGMA 13 (2017), 015, 17 pages   [ abs   pdf ]
Twists on the Torus Equivariant under the 2-Dimensional Crystallographic Point Groups
Kiyonori Gomi
SIGMA 13 (2017), 014, 38 pages   [ abs   pdf ]
Bôcher and Abstract Contractions of 2nd Order Quadratic Algebras
Mauricio A. Escobar Ruiz, Ernest G. Kalnins, Willard Miller Jr. and Eyal Subag
SIGMA 13 (2017), 013, 38 pages   [ abs   pdf ]
Irregular Conformal States and Spectral Curve: Irregular Matrix Model Approach
Chaiho Rim
SIGMA 13 (2017), 012, 23 pages   [ abs   pdf ]
Drinfeld J Presentation of Twisted Yangians
Samuel Belliard and Vidas Regelskis
SIGMA 13 (2017), 011, 35 pages   [ abs   pdf ]
Classification of Multidimensional Darboux Transformations: First Order and Continued Type
David Hobby and Ekaterina Shemyakova
SIGMA 13 (2017), 010, 20 pages   [ abs   pdf ]
$q$-Difference Kac-Schwarz Operators in Topological String Theory
Kanehisa Takasaki and Toshio Nakatsu
SIGMA 13 (2017), 009, 28 pages   [ abs   pdf ]
Classical and Quantum Superintegrability of Stäckel Systems
Maciej Błaszak and Krzysztof Marciniak
SIGMA 13 (2017), 008, 23 pages   [ abs   pdf ]
Connected Lie Groupoids are Internally Connected and Integral Complete in Synthetic Differential Geometry
Matthew Burke
SIGMA 13 (2017), 007, 25 pages   [ abs   pdf ]
Spacetime-Free Approach to Quantum Theory and Effective Spacetime Structure
Matti Raasakka
SIGMA 13 (2017), 006, 33 pages   [ abs   pdf ]
Twistor Geometry of Null Foliations in Complex Euclidean Space
Arman Taghavi-Chabert
SIGMA 13 (2017), 005, 42 pages   [ abs   pdf ]
The Geometry of Almost Einstein $(2,3,5)$ Distributions
Katja Sagerschnig and Travis Willse
SIGMA 13 (2017), 004, 56 pages   [ abs   pdf ]
The Profinite Dimensional Manifold Structure of Formal Solution Spaces of Formally Integrable PDEs
Batu Güneysu and Markus J. Pflaum
SIGMA 13 (2017), 003, 44 pages   [ abs   pdf ]
Symmetries of the Space of Linear Symplectic Connections
Daniel J.F. Fox
SIGMA 13 (2017), 002, 30 pages   [ abs   pdf ]
The Moments of the Hydrogen Atom by the Method of Brackets
Ivan Gonzalez, Karen T. Kohl, Igor Kondrashuk, Victor H. Moll and Daniel Salinas
SIGMA 13 (2017), 001, 13 pages   [ abs   pdf ]

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