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


Volume 14, 2018   (Current volume)


On the Increasing Tritronquée Solutions of the Painlevé-II Equation
Peter D. Miller
SIGMA 14 (2018), 125, 38 pages [ abs   pdf ]
Morita Invariance of Intrinsic Characteristic Classes of Lie Algebroids
Pedro Frejlich
SIGMA 14 (2018), 124, 12 pages [ abs   pdf ]
On Solutions of the Fuji-Suzuki-Tsuda System
Pavlo Gavrylenko, Nikolai Iorgov and Oleg Lisovyy
SIGMA 14 (2018), 123, 27 pages [ abs   pdf ]
Quadratic Differential Equations in Three Variables without Multivalued Solutions: Part I
Adolfo Guillot
SIGMA 14 (2018), 122, 46 pages [ abs   pdf ]
Matrix Bailey Lemma and the Star-Triangle Relation
Kamil Yu. Magadov and Vyacheslav P. Spiridonov
SIGMA 14 (2018), 121, 13 pages [ abs   pdf ]
Simple Lax Description of the ILW Hierarchy
Alexandr Buryak and Paolo Rossi
SIGMA 14 (2018), 120,   7 pages [ abs   pdf ]
Initial-Boundary Value Problem for Stimulated Raman Scattering Model: Solvability of Whitham Type System of Equations Arising in Long-Time Asymptotic Analysis
Rustem R. Aydagulov and Alexander A. Minakov
SIGMA 14 (2018), 119, 19 pages [ abs   pdf ]
Integral Regulators for Higher Chow Complexes
Muxi Li
SIGMA 14 (2018), 118, 12 pages [ abs   pdf ]
Truncated Solutions of Painlevé Equation ${\rm P}_{\rm V}$
Rodica D. Costin
SIGMA 14 (2018), 117, 14 pages [ abs   pdf ]
Normal Functions over Locally Symmetric Varieties
Ryan Keast and Matt Kerr
SIGMA 14 (2018), 116, 18 pages [ abs   pdf ]
The Smallest Singular Values and Vector-Valued Jack Polynomials
Charles F. Dunkl
SIGMA 14 (2018), 115, 20 pages [ abs   pdf ]
Characterizing Moonshine Functions by Vertex-Operator-Algebraic Conditions
Scott Carnahan, Takahiro Komuro and Satoru Urano
SIGMA 14 (2018), 114,   8 pages [ abs   pdf ]
Three-Parameter Solutions of the PV Schlesinger-Type Equation near the Point at Infinity and the Monodromy Data
Shun Shimomura
SIGMA 14 (2018), 113, 50 pages [ abs   pdf ]
Strictly Positive Definite Functions on Compact Two-Point Homogeneous Spaces: the Product Alternative
Rafaela N. Bonfim, Jean C. Guella and Valdir A. Menegatto
SIGMA 14 (2018), 112, 14 pages [ abs   pdf ]
The Moduli Spaces of Parabolic Connections with a Quadratic Differential and Isomonodromic Deformations
Arata Komyo
SIGMA 14 (2018), 111, 22 pages [ abs   pdf ]
Zhegalkin Zebra Motives Digital Recordings of Mirror Symmetry
Jan Stienstra
SIGMA 14 (2018), 110, 29 pages [ abs   pdf ]
Inverse of Infinite Hankel Moment Matrices
Christian Berg and Ryszard Szwarc
SIGMA 14 (2018), 109, 48 pages [ abs   pdf ]
Hyper-Algebras of Vector-Valued Modular Forms
Martin Raum
SIGMA 14 (2018), 108, 17 pages [ abs   pdf ]
Large $z$ Asymptotics for Special Function Solutions of Painlevé II in the Complex Plane
Alfredo Deaño
SIGMA 14 (2018), 107, 19 pages [ abs   pdf ]
Generalized Hermite Polynomials and Monodromy-Free Schrödinger Operators
Victor Yu. Novokshenov
SIGMA 14 (2018), 106, 13 pages [ abs   pdf ]
Quantum Abelian Yang-Mills Theory on Riemannian Manifolds with Boundary
Homero G. Díaz-Marín and Robert Oeckl
SIGMA 14 (2018), 105, 31 pages [ abs   pdf ]
Drinfeld-Sokolov Hierarchies, Tau Functions, and Generalized Schur Polynomials
Mattia Cafasso, Ann du Crest de Villeneuve and Di Yang
SIGMA 14 (2018), 104, 17 pages [ abs   pdf ]
Virtual Crystals and Nakajima Monomials
Ben Salisbury and Travis Scrimshaw
SIGMA 14 (2018), 103, 19 pages [ abs   pdf ]
Hesse Pencils and 3-Torsion Structures
Ane S.I. Anema, Jaap Top and Anne Tuijp
SIGMA 14 (2018), 102, 13 pages [ abs   pdf ]
Macdonald Polynomials of Type $C_n$ with One-Column Diagrams and Deformed Catalan Numbers
Ayumu Hoshino and Jun'ichi Shiraishi
SIGMA 14 (2018), 101, 33 pages [ abs   pdf ]
Morita Equivalent Blocks of Symmetric Groups
Benjamin Sambale
SIGMA 14 (2018), 100,   8 pages [ abs   pdf ]
Generalized Lennard-Jones Potentials, SUSYQM and Differential Galois Theory
Manuel F. Acosta-Humánez, Primitivo B. Acosta-Humánez and Erick Tuirán
SIGMA 14 (2018), 099, 21 pages [ abs   pdf ]
Anti-Yetter-Drinfeld Modules for Quasi-Hopf Algebras
Ivan Kobyzev and Ilya Shapiro
SIGMA 14 (2018), 098, 10 pages [ abs   pdf ]
A Note on the Formal Groups of Weighted Delsarte Threefolds
Yasuhiro Goto
SIGMA 14 (2018), 097, 12 pages [ abs   pdf ]
The Variational Bi-Complex for Systems of Semi-Linear Hyperbolic PDEs in Three Variables
Sara Froehlich
SIGMA 14 (2018), 096, 49 pages [ abs   pdf ]
Tronquée Solutions of the Third and Fourth Painlevé Equations
Xiaoyue Xia
SIGMA 14 (2018), 095, 28 pages [ abs   pdf ]
Higher Obstructions of Complex Supermanifolds
Kowshik Bettadapura
SIGMA 14 (2018), 094, 12 pages [ abs   pdf ]
A Riemann-Hilbert Approach to the Heun Equation
Boris Dubrovin and Andrei Kapaev
SIGMA 14 (2018), 093, 24 pages [ abs   pdf ]
An Infinite Family of Maximally Superintegrable Systems in a Magnetic Field with Higher Order Integrals
Antonella Marchesiello and Libor Šnobl
SIGMA 14 (2018), 092, 11 pages [ abs   pdf ]
Painlevé IV Critical Asymptotics for Orthogonal Polynomials in the Complex Plane
Marco Bertola, José Gustavo Elias Rebelo and Tamara Grava
SIGMA 14 (2018), 091, 34 pages [ abs   pdf ]
Computing Special $L$-Values of Certain Modular Forms with Complex Multiplication
Wen-Ching Winnie Li, Ling Long and Fang-Ting Tu
SIGMA 14 (2018), 090, 32 pages [ abs   pdf ]
On Lagrangians with Reduced-Order Euler-Lagrange Equations
David Saunders
SIGMA 14 (2018), 089, 13 pages [ abs   pdf ]
Discrete Orthogonal Polynomials with Hypergeometric Weights and Painlevé VI
Galina Filipuk and Walter Van Assche
SIGMA 14 (2018), 088, 19 pages [ abs   pdf ]
Notes on Non-Generic Isomonodromy Deformations
Davide Guzzetti
SIGMA 14 (2018), 087, 34 pages [ abs   pdf ]
A Hypergeometric Version of the Modularity of Rigid Calabi-Yau Manifolds
Wadim Zudilin
SIGMA 14 (2018), 086, 16 pages [ abs   pdf ]
Renormalization of the Hutchinson Operator
Yann Demichel
SIGMA 14 (2018), 085, 27 pages [ abs   pdf ]
Faithful Semitoric Systems
Sonja Hohloch, Silvia Sabatini, Daniele Sepe and Margaret Symington
SIGMA 14 (2018), 084, 66 pages [ abs   pdf ]
Thinplate Splines on the Sphere
Rick K. Beatson and Wolfgang zu Castell
SIGMA 14 (2018), 083, 22 pages [ abs   pdf ]
A Matrix Baker-Akhiezer Function Associated with the Maxwell-Bloch Equations and their Finite-Gap Solutions
Vladimir P. Kotlyarov
SIGMA 14 (2018), 082, 27 pages [ abs   pdf ]
Local Type I Metrics with Holonomy in ${\rm G}_{2}^*$
Anna Fino and Ines Kath
SIGMA 14 (2018), 081, 28 pages [ abs   pdf ]
Differential Geometric Aspects of Causal Structures
Omid Makhmali
SIGMA 14 (2018), 080, 50 pages [ abs   pdf ]
Metrized Quantum Vector Bundles over Quantum Tori Built from Riemannian Metrics and Rosenberg's Levi-Civita Connections
Leonard Huang
SIGMA 14 (2018), 079, 21 pages [ abs   pdf ]
$t$-Unique Reductions for Mészáros's Subdivision Algebra
Darij Grinberg
SIGMA 14 (2018), 078, 34 pages [ abs   pdf ]
Connection Formula for the Jackson Integral of Type $A_n$ and Elliptic Lagrange Interpolation
Masahiko Ito and Masatoshi Noumi
SIGMA 14 (2018), 077, 42 pages [ abs   pdf ]
The Toda and Painlevé Systems Associated with Semiclassical Matrix-Valued Orthogonal Polynomials of Laguerre Type
Mattia Cafasso and Manuel D. de la Iglesia
SIGMA 14 (2018), 076, 17 pages [ abs   pdf ]
On Some Applications of Sakai's Geometric Theory of Discrete Painlevé Equations
Anton Dzhamay and Tomoyuki Takenawa
SIGMA 14 (2018), 075, 20 pages [ abs   pdf ]
On Regularization of Second Kind Integrals
Julia Bernatska and Dmitry Leykin
SIGMA 14 (2018), 074, 28 pages [ abs   pdf ]
Asymptotic Expansions of Jacobi Polynomials for Large Values of $\beta$ and of Their Zeros
Amparo Gil, Javier Segura and Nico M. Temme
SIGMA 14 (2018), 073,   9 pages [ abs   pdf ]
Generalized Burchnall-Type Identities for Orthogonal Polynomials and Expansions
Mourad E.H. Ismail, Erik Koelink and Pablo Román
SIGMA 14 (2018), 072, 24 pages [ abs   pdf ]
The Chevalley-Weil Formula for Orbifold Curves
Luca Candelori
SIGMA 14 (2018), 071, 17 pages [ abs   pdf ]
The Solution of Hilbert's Fifth Problem for Transitive Groupoids
Paweł Raźny
SIGMA 14 (2018), 070, 11 pages [ abs   pdf ]
Loop Models and $K$-Theory
Paul Zinn-Justin
SIGMA 14 (2018), 069, 48 pages [ abs   pdf ]
Numerical Approach to Painlevé Transcendents on Unbounded Domains
Christian Klein and Nikola Stoilov
SIGMA 14 (2018), 068, 10 pages [ abs   pdf ]
Tetrahedron Equation and Quantum $R$ Matrices for $q$-Oscillator Representations Mixing Particles and Holes
Atsuo Kuniba
SIGMA 14 (2018), 067, 23 pages [ abs   pdf ]
Quantum Klein Space and Superspace
Rita Fioresi, Emanuele Latini and Alessio Marrani
SIGMA 14 (2018), 066, 20 pages [ abs   pdf ]
On the Coprimeness Property of Discrete Systems without the Irreducibility Condition
Masataka Kanki and Takafumi Mase and Tetsuji Tokihiro
SIGMA 14 (2018), 065, 17 pages [ abs   pdf ]
The Functional Method for the Domain-Wall Partition Function
Jules Lamers
SIGMA 14 (2018), 064, 23 pages [ abs   pdf ]
$d$-Orthogonal Analogs of Classical Orthogonal Polynomials
Emil Horozov
SIGMA 14 (2018), 063, 27 pages [ abs   pdf ]
Lie Algebroid Invariants for Subgeometry
Anthony D. Blaom
SIGMA 14 (2018), 062, 36 pages [ abs   pdf ]
On $q$-Deformations of the Heun Equation
Kouichi Takemura
SIGMA 14 (2018), 061, 16 pages [ abs   pdf ]
$(2+)$-Replication and the Baby Monster
Chris Cummins and Rodrigo Matias
SIGMA 14 (2018), 060, 33 pages [ abs   pdf ]
Dressing the Dressing Chain
Charalampos A. Evripidou, Peter H. van der Kamp and Cheng Zhang
SIGMA 14 (2018), 059, 14 pages [ abs   pdf ]
Fuchsian Equations with Three Non-Apparent Singularities
Alexandre Eremenko and Vitaly Tarasov
SIGMA 14 (2018), 058, 12 pages [ abs   pdf ]
Dihedral Group, 4-Torsion on an Elliptic Curve, and a Peculiar Eigenform Modulo 4
Ian Kiming and Nadim Rustom
SIGMA 14 (2018), 057, 13 pages [ abs   pdf ]
Asymptotics of Polynomials Orthogonal with respect to a Logarithmic Weight
Thomas Oliver Conway and Percy Deift
SIGMA 14 (2018), 056, 66 pages [ abs   pdf ]
The Künneth Formula for the Twisted de Rham and Higgs Cohomologies
Kai-Chieh Chen and Jeng-Daw Yu
SIGMA 14 (2018), 055, 14 pages [ abs   pdf ]
Modified Algebraic Bethe Ansatz: Twisted XXX Case
Samuel Belliard, Nikita A. Slavnov and Benoit Vallet
SIGMA 14 (2018), 054, 18 pages [ abs   pdf ]
A Spin Analogue of Kerov Polynomials
Sho Matsumoto
SIGMA 14 (2018), 053, 13 pages [ abs   pdf ]
The Determinant of an Elliptic Sylvesteresque Matrix
Gaurav Bhatnagar and Christian Krattenthaler
SIGMA 14 (2018), 052, 15 pages [ abs   pdf ]
Quasi-Orthogonality of Some Hypergeometric and $q$-Hypergeometric Polynomials
Daniel D. Tcheutia, Alta S. Jooste and Wolfram Koepf
SIGMA 14 (2018), 051, 26 pages [ abs   pdf ]
Evaluation of Certain Hypergeometric Functions over Finite Fields
Fang-Ting Tu and Yifan Yang
SIGMA 14 (2018), 050, 18 pages [ abs   pdf ]
Jacobi-Trudi Identity in Super Chern-Simons Matrix Model
Tomohiro Furukawa and Sanefumi Moriyama
SIGMA 14 (2018), 049, 14 pages [ abs   pdf ]
Recurrence Relations for Wronskian Hermite Polynomials
Niels Bonneux and Marco Stevens
SIGMA 14 (2018), 048, 29 pages [ abs   pdf ]
On the Strong Ratio Limit Property for Discrete-Time Birth-Death Processes
Erik A. van Doorn
SIGMA 14 (2018), 047,   9 pages [ abs   pdf ]
Lower Bounds for Numbers of Real Self-Dual Spaces in Problems of Schubert Calculus
Kang Lu
SIGMA 14 (2018), 046, 15 pages   [ abs   pdf ]
A $\tau$-Tilting Approach to Dissections of Polygons
Vincent Pilaud, Pierre-Guy Plamondon and Salvatore Stella
SIGMA 14 (2018), 045,   8 pages   [ abs   pdf ]
The $q$-Onsager Algebra and the Universal Askey-Wilson Algebra
Paul Terwilliger
SIGMA 14 (2018), 044, 18 pages   [ abs   pdf ]
The Hyperbolic Asymptotics of Elliptic Hypergeometric Integrals Arising in Supersymmetric Gauge Theory
Arash Arabi Ardehali
SIGMA 14 (2018), 043, 30 pages   [ abs   pdf ]
Higher Derivatives of Airy Functions and of their Products
Eugeny G. Abramochkin and Evgeniya V. Razueva
SIGMA 14 (2018), 042, 26 pages   [ abs   pdf ]
A Variational Principle for Discrete Integrable Systems
Sarah B. Lobb and Frank W. Nijhoff
SIGMA 14 (2018), 041, 18 pages   [ abs   pdf ]
$({\mathfrak{gl}}_M, {\mathfrak{gl}}_N)$-Dualities in Gaudin Models with Irregular Singularities
Benoît Vicedo and Charles Young
SIGMA 14 (2018), 040, 28 pages   [ abs   pdf ]
Movable vs Monodromy Nilpotent Cones of Calabi-Yau Manifolds
Shinobu Hosono and Hiromichi Takagi
SIGMA 14 (2018), 039, 37 pages   [ abs   pdf ]
Homomorphisms from Specht Modules to Signed Young Permutation Modules
Kay Jin Lim and Kai Meng Tan
SIGMA 14 (2018), 038, 21 pages   [ abs   pdf ]
Singular Geometry and Higgs Bundles in String Theory
Lara B. Anderson, Mboyo Esole, Laura Fredrickson and Laura P. Schaposnik
SIGMA 14 (2018), 037, 27 pages   [ abs   pdf ]
Surface Defects in E-String Compactifications and the van Diejen Model
Belal Nazzal and Shlomo S. Razamat
SIGMA 14 (2018), 036, 20 pages   [ abs   pdf ]
On Basic Fourier-Bessel Expansions
José Luis Cardoso
SIGMA 14 (2018), 035, 13 pages   [ abs   pdf ]
Results Concerning Almost Complex Structures on the Six-Sphere
Scott O. Wilson
SIGMA 14 (2018), 034, 21 pages   [ abs   pdf ]
The Duals of the 2-Modular Irreducible Modules of the Alternating Groups
John Murray
SIGMA 14 (2018), 033,   5 pages   [ abs   pdf ]
Elliptically Distributed Lozenge Tilings of a Hexagon
Dan Betea
SIGMA 14 (2018), 032, 39 pages   [ abs   pdf ]
Cartan Prolongation of a Family of Curves Acquiring a Node
Susan Jane Colley and Gary Kennedy
SIGMA 14 (2018), 031, 16 pages   [ abs   pdf ]
${\rm SL}(2,\mathbb{C})$ Gustafson Integrals
Sergey É. Derkachov, Alexander N. Manashov and Pavel A. Valinevich
SIGMA 14 (2018), 030, 16 pages   [ abs   pdf ]
On the Symplectic Structures in Frame Bundles and the Finite Dimension of Basic Symplectic Cohomologies
Andrzej Czarnecki
SIGMA 14 (2018), 029, 12 pages   [ abs   pdf ]
One of the Odd Zeta Values from $\zeta(5)$ to $\zeta(25)$ Is Irrational. By Elementary Means
Wadim Zudilin
SIGMA 14 (2018), 028,   8 pages   [ abs   pdf ]
Hopf Algebras which Factorize through the Taft Algebra $T_{m^{2}}(q)$ and the Group Hopf Algebra $K[C_{n}]$
Ana-Loredana Agore
SIGMA 14 (2018), 027, 14 pages   [ abs   pdf ]
Hopf Algebroid Twists for Deformation Quantization of Linear Poisson Structures
Stjepan Meljanac and Zoran Škoda
SIGMA 14 (2018), 026, 23 pages   [ abs   pdf ]
Elliptic Well-Poised Bailey Transforms and Lemmas on Root Systems
Gaurav Bhatnagar and Michael J. Schlosser
SIGMA 14 (2018), 025, 44 pages   [ abs   pdf ]
Fourier Series of Gegenbauer-Sobolev Polynomials
Óscar Ciaurri and Judit Mínguez
SIGMA 14 (2018), 024, 11 pages   [ abs   pdf ]
On the Linearization Covering Technique and its Application to Integrable Nonlinear Differential Systems
Anatolij K. Prykarpatski
SIGMA 14 (2018), 023, 15 pages   [ abs   pdf ]
Poisson Algebras and 3D Superintegrable Hamiltonian Systems
Allan P. Fordy and Qing Huang
SIGMA 14 (2018), 022, 37 pages   [ abs   pdf ]
Nonlinear Stability of Relative Equilibria and Isomorphic Vector Fields
Stefan Klajbor-Goderich
SIGMA 14 (2018), 021, 37 pages   [ abs   pdf ]
Special Solutions of Bi-Riccati Delay-Differential Equations
Bjorn K. Berntson
SIGMA 14 (2018), 020,   9 pages   [ abs   pdf ]
Multivariate Quadratic Transformations and the Interpolation Kernel
Eric M. Rains
SIGMA 14 (2018), 019, 69 pages   [ abs   pdf ]
Asymptotics for Hankel Determinants Associated to a Hermite Weight with a Varying Discontinuity
Christophe Charlier and Alfredo Deaño
SIGMA 14 (2018), 018, 43 pages   [ abs   pdf ]
Evolutionary Hirota Type (2+1)-Dimensional Equations: Lax Pairs, Recursion Operators and Bi-Hamiltonian Structures
Mikhail B. Sheftel and Devrim Yazıcı
SIGMA 14 (2018), 017, 19 pages   [ abs   pdf ]
Classifying Toric and Semitoric Fans by Lifting Equations from ${\rm SL}_2({\mathbb Z})$
Daniel M. Kane, Joseph Palmer and Álvaro Pelayo
SIGMA 14 (2018), 016, 43 pages   [ abs   pdf ]
Billiards and Tilting Characters for ${\rm SL}_3$
George Lusztig and Geordie Williamson
SIGMA 14 (2018), 015, 22 pages   [ abs   pdf ]
Categorical Tori
Nora Ganter
SIGMA 14 (2018), 014, 18 pages   [ abs   pdf ]
Elliptic Hypergeometric Sum/Integral Transformations and Supersymmetric Lens Index
Andrew P. Kels and Masahito Yamazaki
SIGMA 14 (2018), 013, 29 pages   [ abs   pdf ]
$k$-Dirac Complexes
Tomáš Salač
SIGMA 14 (2018), 012, 33 pages   [ abs   pdf ]
Series Solutions of the Non-Stationary Heun Equation
Farrokh Atai and Edwin Langmann
SIGMA 14 (2018), 011, 32 pages   [ abs   pdf ]
Some Remarks on the Total CR $Q$ and $Q^\prime$-Curvatures
Taiji Marugame
SIGMA 14 (2018), 010,   8 pages   [ abs   pdf ]
Dual Polar Graphs, a nil-DAHA of Rank One, and Non-Symmetric Dual $q$-Krawtchouk Polynomials
Jae-Ho Lee and Hajime Tanaka
SIGMA 14 (2018), 009, 27 pages   [ abs   pdf ]
Darboux Integrability of Trapezoidal $H^{4}$ and $H^{6}$ Families of Lattice Equations II: General Solutions
Giorgio Gubbiotti, Christian Scimiterna and Ravil I. Yamilov
SIGMA 14 (2018), 008, 51 pages   [ abs   pdf ]
Alvis-Curtis Duality for Finite General Linear Groups and a Generalized Mullineux Involution
Olivier Dudas and Nicolas Jacon
SIGMA 14 (2018), 007, 18 pages   [ abs   pdf ]
On the TASEP with Second Class Particles
Eunghyun Lee
SIGMA 14 (2018), 006, 17 pages   [ abs   pdf ]
Poisson Geometry Related to Atiyah Sequences
Kirill Mackenzie, Anatol Odzijewicz and Aneta Sliżewska
SIGMA 14 (2018), 005, 29 pages   [ abs   pdf ]
Reconstructing a Lattice Equation: a Non-Autonomous Approach to the Hietarinta Equation
Giorgio Gubbiotti and Christian Scimiterna
SIGMA 14 (2018), 004, 21 pages   [ abs   pdf ]
Manifold Ways to Darboux-Halphen System
John Alexander Cruz Morales, Hossein Movasati, Younes Nikdelan, Raju Roychowdhury and Marcus A.C Torres
SIGMA 14 (2018), 003, 14 pages   [ abs   pdf ]
Poles of Painlevé IV Rationals and their Distribution
Davide Masoero and Pieter Roffelsen
SIGMA 14 (2018), 002, 49 pages   [ abs   pdf ]
Asymptotic Formulas for Macdonald Polynomials and the Boundary of the $(q, t)$-Gelfand-Tsetlin Graph
Cesar Cuenca
SIGMA 14 (2018), 001, 66 pages   [ abs   pdf ]

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