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


Volume 13, 2017   (Current volume)


Coherent Transport in Photonic Lattices: A Survey of Recent Analytic Results
Éric-Olivier Bossé and Luc Vinet
SIGMA 13 (2017), 074, 19 pages   [ abs   pdf ]
Classification of a Subclass of Two-Dimensional Lattices via Characteristic Lie Rings
Ismagil Habibullin and Mariya Poptsova
SIGMA 13 (2017), 073, 26 pages   [ abs   pdf ]
On the Automorphisms of a Rank One Deligne-Hitchin Moduli Space
Indranil Biswas and Sebastian Heller
SIGMA 13 (2017), 072, 19 pages   [ abs   pdf ]
$N$-Bright-Dark Soliton Solution to a Semi-Discrete Vector Nonlinear Schrödinger Equation
Bao-Feng Feng and Yasuhiro Ohta
SIGMA 13 (2017), 071, 16 pages   [ abs   pdf ]
Restriction of Odd Degree Characters of $\mathfrak{S}_n$
Christine Bessenrodt, Eugenio Giannelli and Jørn B. Olsson
SIGMA 13 (2017), 070, 10 pages   [ abs   pdf ]
An Elliptic Garnier System from Interpolation
Yasuhiko Yamada
SIGMA 13 (2017), 069,  8 pages   [ abs   pdf ]
Null Angular Momentum and Weak KAM Solutions of the Newtonian $N$-Body Problem
Boris A. Percino-Figueroa
SIGMA 13 (2017), 068,  8 pages   [ abs   pdf ]
Minuscule Schubert Varieties and Mirror Symmetry
Makoto Miura
SIGMA 13 (2017), 067, 25 pages   [ abs   pdf ]
Asymptotic Representations of Quantum Affine Superalgebras
Huafeng Zhang
SIGMA 13 (2017), 066, 25 pages   [ abs   pdf ]
Rational Solutions of the Painlevé-II Equation Revisited
Peter D. Miller and Yue Sheng
SIGMA 13 (2017), 065, 29 pages   [ abs   pdf ]
A Generalization of the Doubling Construction for Sums of Squares Identities
Chi Zhang and Hua-Lin Huang
SIGMA 13 (2017), 064,  6 pages   [ abs   pdf ]
The Fock-Rosly Poisson Structure as Defined by a Quasi-Triangular $r$-Matrix
Victor Mouquin
SIGMA 13 (2017), 063, 13 pages   [ abs   pdf ]
Part III, Free Actions of Compact Quantum Groups on ${\rm C}^*$-Algebras
Kay Schwieger and Stefan Wagner
SIGMA 13 (2017), 062, 19 pages   [ abs   pdf ]
An Energy Gap for Complex Yang-Mills Equations
Teng Huang
SIGMA 13 (2017), 061, 15 pages   [ abs   pdf ]
Integrability, Quantization and Moduli Spaces of Curves
Paolo Rossi
SIGMA 13 (2017), 060, 29 pages   [ abs   pdf ]
Remarks on Contact and Jacobi Geometry
Andrew James Bruce, Katarzyna Grabowska and Janusz Grabowski
SIGMA 13 (2017), 059, 22 pages   [ abs   pdf ]
Relativistic DNLS and Kaup-Newell Hierarchy
Oktay K. Pashaev and Jyh-Hao Lee
SIGMA 13 (2017), 058, 13 pages   [ abs   pdf ]
On Reductions of the Hirota-Miwa Equation
Andrew N.W. Hone, Theodoros E. Kouloukas and Chloe Ward
SIGMA 13 (2017), 057, 17 pages   [ abs   pdf ]
Zero Range Process and Multi-Dimensional Random Walks
Nicolay M. Bogoliubov and Cyril Malyshev
SIGMA 13 (2017), 056, 14 pages   [ abs   pdf ]
Global Existence of Bi-Hamiltonian Structures on Orientable Three-Dimensional Manifolds
Melike Işim Efe and Ender Abadoğlu
SIGMA 13 (2017), 055, 17 pages   [ abs   pdf ]
Topological Phase Transition in a Molecular Hamiltonian with Symmetry and Pseudo-Symmetry, Studied through Quantum, Semi-Quantum and Classical Models
Guillaume Dhont, Toshihiro Iwai and Boris Zhilinskií
SIGMA 13 (2017), 054, 34 pages   [ abs   pdf ]
Symmetries of the Hirota Difference Equation
Andrei K. Pogrebkov
SIGMA 13 (2017), 053, 14 pages   [ abs   pdf ]
A Combinatorial Study on Quiver Varieties
Shigeyuki Fujii and Satoshi Minabe
SIGMA 13 (2017), 052, 28 pages   [ abs   pdf ]
Self-Dual Systems, their Symmetries and Reductions to the Bogoyavlensky Lattice
Allan P. Fordy and Pavlos Xenitidis
SIGMA 13 (2017), 051, 10 pages   [ abs   pdf ]
Topology of Functions with Isolated Critical Points on the Boundary of a 2-Dimensional Manifold
Bohdana I. Hladysh and Aleksandr O. Prishlyak
SIGMA 13 (2017), 050, 17 pages   [ abs   pdf ]
On the Spectra of Real and Complex Lamé Operators
William A. Haese-Hill, Martin A. Hallnäs and Alexander P. Veselov
SIGMA 13 (2017), 049, 23 pages   [ abs   pdf ]
Equivariant Gromov-Witten Invariants of Algebraic GKM Manifolds
Chiu-Chu Melissa Liu and Artan Sheshman
SIGMA 13 (2017), 048, 21 pages   [ abs   pdf ]
Check-Operators and Quantum Spectral Curves
Andrei Mironov and Alexei Morozov
SIGMA 13 (2017), 047, 17 pages   [ abs   pdf ]
The Malgrange Form and Fredholm Determinants
Marco Bertola
SIGMA 13 (2017), 046, 12 pages   [ abs   pdf ]
Hodge Numbers from Picard-Fuchs Equations
Charles F. Doran, Andrew Harder and Alan Thompson
SIGMA 13 (2017), 045, 23 pages   [ abs   pdf ]
Integrable Structure of Multispecies Zero Range Process
Atsuo Kuniba, Masato Okado and Satoshi Watanabe
SIGMA 13 (2017), 044, 29 pages   [ abs   pdf ]
Highest $\ell$-Weight Representations and Functional Relations
Khazret S. Nirov and Alexander V. Razumov
SIGMA 13 (2017), 043, 31 pages   [ abs   pdf ]
On the Equivalence of Module Categories over a Group-Theoretical Fusion Category
Sonia Natale
SIGMA 13 (2017), 042,  9 pages   [ abs   pdf ]
Non-Commutative Vector Bundles for Non-Unital Algebras
Adam Rennie and Aidan Sims
SIGMA 13 (2017), 041, 12 pages   [ abs   pdf ]
A Linear System of Differential Equations Related to Vector-Valued Jack Polynomials on the Torus
Charles F. Dunkl
SIGMA 13 (2017), 040, 41 pages   [ abs   pdf ]
Factor Ordering and Path Integral Measure for Quantum Gravity in (1+1) Dimensions
John Haga and Rachel Lash Maitra
SIGMA 13 (2017), 039, 19 pages   [ abs   pdf ]
Mendeleev Table: a Proof of Madelung Rule and Atomic Tietz Potential
Eugene D. Belokolos
SIGMA 13 (2017), 038, 15 pages   [ abs   pdf ]
Gustafson-Rakha-Type Elliptic Hypergeometric Series
Hjalmar Rosengren
SIGMA 13 (2017), 037, 11 pages   [ abs   pdf ]
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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