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

Volume 13, 2017

Contractions of Degenerate Quadratic Algebras, Abstract and Geometric
Mauricio A. Escobar Ruiz, Willard Miller Jr. and Eyal Subag
SIGMA 13 (2017), 099, 32 pages   [ abs   pdf ]
On the Generalization of Hilbert's Fifth Problem to Transitive Groupoids
Paweł Raźny
SIGMA 13 (2017), 098, 10 pages   [ abs   pdf ]
An Application of the Moving Frame Method to Integral Geometry in the Heisenberg Group
Hung-Lin Chiu, Yen-Chang Huang and Sin-Hua Lai
SIGMA 13 (2017), 097, 27 pages   [ abs   pdf ]
Four-Dimensional Painlevé-Type Equations Associated with Ramified Linear Equations III: Garnier Systems and Fuji-Suzuki Systems
Hiroshi Kawakami
SIGMA 13 (2017), 096, 50 pages   [ abs   pdf ]
The Chazy XII Equation and Schwarz Triangle Functions
Oksana Bihun and Sarbarish Chakravarty
SIGMA 13 (2017), 095, 24 pages   [ abs   pdf ]
Algebraic Bethe Ansatz for the XXZ Gaudin Models with Generic Boundary
Nicolas Crampe
SIGMA 13 (2017), 094, 13 pages   [ abs   pdf ]
Orbital Linearization of Smooth Completely Integrable Vector Fields
Nguyen Tien Zung
SIGMA 13 (2017), 093, 11 pages   [ abs   pdf ]
A Variation of the $q$-Painlevé System with Affine Weyl Group Symmetry of Type $E_7^{(1)}$
Hidehito Nagao
SIGMA 13 (2017), 092, 18 pages   [ abs   pdf ]
James' Submodule Theorem and the Steinberg Module
Meinolf Geck
SIGMA 13 (2017), 091,  6 pages   [ abs   pdf ]
Orthogonal Rational Functions on the Unit Circle with Prescribed Poles not on the Unit Circle
Adhemar Bultheel, Ruyman Cruz-Barroso and Andreas Lasarow
SIGMA 13 (2017), 090, 49 pages   [ abs   pdf ]
A Universal Genus-Two Curve from Siegel Modular Forms
Andreas Malmendier and Tony Shaska
SIGMA 13 (2017), 089, 17 pages   [ abs   pdf ]
Positive Definite Functions on Complex Spheres and their Walks through Dimensions
Eugenio Massa, Ana Paula Peron and Emilio Porcu
SIGMA 13 (2017), 088, 16 pages   [ abs   pdf ]
Zeta Functions of Monomial Deformations of Delsarte Hypersurfaces
Remke Kloosterman
SIGMA 13 (2017), 087, 22 pages   [ abs   pdf ]
Parallelisms & Lie Connections
David Blázquez-Sanz and Guy Casale
SIGMA 13 (2017), 086, 28 pages   [ abs   pdf ]
The Inverse Spectral Problem for Jacobi-Type Pencils
Sergey M. Zagorodnyuk
SIGMA 13 (2017), 085, 16 pages   [ abs   pdf ]
Realization of $U_q({\mathfrak{sp}}_{2n})$ within the Differential Algebra on Quantum Symplectic Space
Jiao Zhang and Naihong Hu
SIGMA 13 (2017), 084, 21 pages   [ abs   pdf ]
Twists of Elliptic Curves
Max Kronberg, Muhammad Afzal Soomro and Jaap Top
SIGMA 13 (2017), 083, 13 pages   [ abs   pdf ]
Differential Calculus on h-Deformed Spaces
Basile Herlemont and Oleg Ogievetsky
SIGMA 13 (2017), 082, 28 pages   [ abs   pdf ]
A Projective-to-Conformal Fefferman-Type Construction
Matthias Hammerl, Katja Sagerschnig, Josef Šilhan, Arman Taghavi-Chabert and Vojtĕch Zádník
SIGMA 13 (2017), 081, 33 pages   [ abs   pdf ]
Integrable Deformations of Sine-Liouville Conformal Field Theory and Duality
Vladimir A. Fateev
SIGMA 13 (2017), 080, 22 pages   [ abs   pdf ]
Elliptic Determinantal Processes and Elliptic Dyson Models
Makoto Katori
SIGMA 13 (2017), 079, 36 pages   [ abs   pdf ]
Rational Solutions to the ABS List: Transformation Approach
Danda Zhang and Da-Jun Zhang
SIGMA 13 (2017), 078, 24 pages   [ abs   pdf ]
Non-Homogeneous Hydrodynamic Systems and Quasi-Stäckel Hamiltonians
Krzysztof Marciniak and Maciej Błaszak
SIGMA 13 (2017), 077, 15 pages   [ abs   pdf ]
Factorizable $R$-Matrices for Small Quantum Groups
Simon Lentner and Tobias Ohrmann
SIGMA 13 (2017), 076, 25 pages   [ abs   pdf ]
Derivations and Spectral Triples on Quantum Domains I: Quantum Disk
Slawomir Klimek, Matt McBride, Sumedha Rathnayake, Kaoru Sakai and Honglin Wang
SIGMA 13 (2017), 075, 26 pages   [ abs   pdf ]
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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