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

Volume 20, 2024

On the Higher-Rank Askey-Wilson Algebras
Wanxia Wang and Shilin Yang
SIGMA 20 (2024), 115, 30 pages [ abs   pdf ]
Real Forms of Holomorphic Hamiltonian Systems
Philip Arathoon and Marine Fontaine
SIGMA 20 (2024), 114, 24 pages [ abs   pdf ]
Solutions of Tetrahedron Equation from Quantum Cluster Algebra Associated with Symmetric Butterfly Quiver
Rei Inoue, Atsuo Kuniba, Xiaoyue Sun, Yuji Terashima and Junya Yagi
SIGMA 20 (2024), 113, 45 pages [ abs   pdf ]
Tau Functions from Joyce Structures
Tom Bridgeland
SIGMA 20 (2024), 112, 26 pages [ abs   pdf ]
Harmonic Metrics for Higgs Bundles of Rank 3 in the Hitchin Section
Hitoshi Fujioka
SIGMA 20 (2024), 111, 21 pages [ abs   pdf ]
The Modified Toda Hierarchy
Wenjuan Rui, Wenchuang Guan, Yi Yang and Jipeng Cheng
SIGMA 20 (2024), 110, 21 pages [ abs   pdf ]
Lagrangian Surplusection Phenomena
Georgios Dimitroglou Rizell and Jonathan David Evans
SIGMA 20 (2024), 109, 13 pages [ abs   pdf ]
On Relative Tractor Bundles
Andreas Čap, Zhangwen Guo and Michał Andrzej Wasilewicz
SIGMA 20 (2024), 108, 19 pages [ abs   pdf ]
The Algebraic and Geometric Classification of Compatible Pre-Lie Algebras
Hani Abdelwahab, Ivan Kaygorodov and Abdenacer Makhlouf
SIGMA 20 (2024), 107, 20 pages [ abs   pdf ]
Global Magni4icence, or: 4G Networks
Nikita Nekrasov and Nicolò Piazzalunga
SIGMA 20 (2024), 106, 27 pages [ abs   pdf ]
$R$-Matrix Presentation of Quantum Affine Superalgebra for Type $\mathfrak{osp}(2m+1|2n)$
Xianghua Wu, Hongda Lin and Honglian Zhang
SIGMA 20 (2024), 105, 38 pages [ abs   pdf ]
Geometry of Integrable Systems Related to the Restricted Grassmannian
Tomasz Goliński and Alice Barbora Tumpach
SIGMA 20 (2024), 104, 18 pages [ abs   pdf ]
Rogers-Ramanujan Type Identities Involving Double Sums
Dandan Chen and Siyu Yin
SIGMA 20 (2024), 103,   6 pages [ abs   pdf ]
The Evaluation of Graphs on Surfaces for State-Sum Models with Defects
Julian Farnsteiner and Christoph Schweigert
SIGMA 20 (2024), 102, 51 pages [ abs   pdf ]
The Wehrheim-Woodward Category of Linear Canonical Relations between $G$-Spaces
Alan Weinstein
SIGMA 20 (2024), 101,   6 pages [ abs   pdf ]
Lagrangian Multiform for Cyclotomic Gaudin Models
Vincent Caudrelier, Anup Anand Singh and Benoît Vicedo
SIGMA 20 (2024), 100, 30 pages [ abs   pdf ]
Elliptic Stable Envelopes for Certain Non-Symplectic Varieties and Dynamical $R$-Matrices for Superspin Chains from the Bethe/Gauge Correspondence
Nafiz Ishtiaque, Seyed Faroogh Moosavian and Yehao Zhou
SIGMA 20 (2024), 099, 95 pages [ abs   pdf ]
Bilinear Expansions of KP Multipair Correlators in BKP Correlators
Aleksandr Yu. Orlov
SIGMA 20 (2024), 098, 32 pages [ abs   pdf ]
Combinatorial Interpretations of Cranks of Overpartitions and Partitions without Repeated Odd Parts
Frank G. Garvan and Rishabh Sarma
SIGMA 20 (2024), 097, 14 pages [ abs   pdf ]
Scale Invariant Scattering and Bernoulli Numbers
Thomas L. Curtright
SIGMA 20 (2024), 096,   4 pages [ abs   pdf ]
Mirrors to Del Pezzo Surfaces and the Classification of $T$-Polygons
Wendelin Lutz
SIGMA 20 (2024), 095, 20 pages [ abs   pdf ]
Complete Asymptotic Expansions for the Normalizing Constants of High-Dimensional Matrix Bingham and Matrix Langevin Distributions
Armine Bagyan and Donald Richards
SIGMA 20 (2024), 094, 22 pages [ abs   pdf ]
Convolution Algebras of Double Groupoids and Strict 2-Groups
Angel Román and Joel Villatoro
SIGMA 20 (2024), 093, 26 pages [ abs   pdf ]
Extension Theory and Fermionic Strongly Fusion 2-Categories (with an Appendix by Thibault Didier Décoppet and Theo Johnson-Freyd)
Thibault Didier Décoppet
SIGMA 20 (2024), 092, 20 pages [ abs   pdf ]
Integrable Semi-Discretization for a Modified Camassa-Holm Equation with Cubic Nonlinearity
Bao-Feng Feng, Heng-Chun Hu, Han-Han Sheng, Wei Yin and Guo-Fu Yu
SIGMA 20 (2024), 091, 14 pages [ abs   pdf ]
Moving NS Punctures on Super Spheres
Dimitri P. Skliros
SIGMA 20 (2024), 090, 30 pages [ abs   pdf ]
Proof of Two Multivariate $q$-Binomial Sums Arising in Gromov-Witten Theory
Christian Krattenthaler
SIGMA 20 (2024), 089,   6 pages [ abs   pdf ]
On the Picard Group of the Moduli Space of Curves via $r$-Spin Structures
Danil Gubarevich
SIGMA 20 (2024), 088, 16 pages [ abs   pdf ]
Algebraic Complete Integrability of the $a_4^{(2)}$ Toda Lattice
Bruce Lionnel Lietap Ndi, Djagwa Dehainsala and Joseph Dongho
SIGMA 20 (2024), 087, 26 pages [ abs   pdf ]
On a Transformation of Triple $q$-Series and Rogers-Hecke Type Series
Zhi-Guo Liu
SIGMA 20 (2024), 086, 37 pages [ abs   pdf ]
The Racah Algebra of Rank 2: Properties, Symmetries and Representation
Sarah Post and Sébastien Bertrand
SIGMA 20 (2024), 085, 21 pages [ abs   pdf ]
Compact Locally Conformally Pseudo-Kähler Manifolds with Essential Conformal Transformations
Vicente Cortés and Thomas Leistner
SIGMA 20 (2024), 084, 12 pages [ abs   pdf ]
Kernel Function, $q$-Integral Transformation and $q$-Heun Equations
Kouichi Takemura
SIGMA 20 (2024), 083, 22 pages [ abs   pdf ]
First Cohomology with Trivial Coefficients of All Unitary Easy Quantum Group Duals
Alexander Mang
SIGMA 20 (2024), 082, 40 pages [ abs   pdf ]
Multidimensional Nonhomogeneous Quasi-Linear Systems and Their Hamiltonian Structure
Xin Hu and Matteo Casati
SIGMA 20 (2024), 081, 17 pages [ abs   pdf ]
On $F$-Polynomials for Generalized Quantum Cluster Algebras and Gupta's Formula
Changjian Fu, Liangang Peng and Huihui Ye
SIGMA 20 (2024), 080, 26 pages [ abs   pdf ]
New Evaluations of Inverse Binomial Series via Cyclotomic Multiple Zeta Values
John M. Campbell, M. Lawrence Glasser and Yajun Zhou
SIGMA 20 (2024), 079, 14 pages [ abs   pdf ]
Symmetries in Riemann-Cartan Geometries
David D. McNutt, Alan A. Coley and Robert J. van den Hoogen
SIGMA 20 (2024), 078, 20 pages [ abs   pdf ]
Non-Stationary Difference Equation and Affine Laumon Space II: Quantum Knizhnik-Zamolodchikov Equation
Hidetoshi Awata, Koji Hasegawa, Hiroaki Kanno, Ryo Ohkawa, Shamil Shakirov, Jun'ichi Shiraishi and Yasuhiko Yamada
SIGMA 20 (2024), 077, 55 pages [ abs   pdf ]
A Riemann-Hilbert Approach to Skew-Orthogonal Polynomials of Symplectic Type
Alex Little
SIGMA 20 (2024), 076, 32 pages [ abs   pdf ]
McMahon-Type Asymptotic Expansions of the Zeros of the Coulomb Wave Functions
Amparo Gil, Javier Segura and Nico M. Temme
SIGMA 20 (2024), 075,   9 pages [ abs   pdf ]
Asymptotics of the Humbert Function $\Psi_1$ for Two Large Arguments
Peng-Cheng Hang and Min-Jie Luo
SIGMA 20 (2024), 074, 13 pages [ abs   pdf ]
Resurgence of Refined Topological Strings and Dual Partition Functions
Sergey Alexandrov, Marcos Mariño and Boris Pioline
SIGMA 20 (2024), 073, 34 pages [ abs   pdf ]
Tropical Mirror
Andrey Losev and Vyacheslav Lysov
SIGMA 20 (2024), 072, 48 pages [ abs   pdf ]
Tracking Control for $(x,u)$-Flat Systems by Quasi-Static Feedback of Classical States
Conrad Gstöttner, Bernd Kolar and Markus Schöberl
SIGMA 20 (2024), 071, 27 pages [ abs   pdf ]
Soliton Condensates for the Focusing Nonlinear Schrödinger Equation: a Non-Bound State Case
Alexander Tovbis and Fudong Wang
SIGMA 20 (2024), 070, 26 pages [ abs   pdf ]
Torsion Obstructions to Positive Scalar Curvature
Misha Gromov and Bernhard Hanke
SIGMA 20 (2024), 069, 22 pages [ abs   pdf ]
Lie Admissible Triple Algebras: The Connection Algebra of Symmetric Spaces
Hans Z. Munthe-Kaas and Jonatan Stava
SIGMA 20 (2024), 068, 28 pages [ abs   pdf ]
The Laplace-Beltrami Operator on the Surface of the Ellipsoid
Hans Volkmer
SIGMA 20 (2024), 067, 21 pages [ abs   pdf ]
Fragments of a History of the Concept of Ideal. Poncelet's and Chasles's Reflections on Generality in Geometry and their Impact on Kummer's Work with Ideal Divisors
Karine Chemla
SIGMA 20 (2024), 066, 37 pages [ abs   pdf ]
Adiabatic Limit, Theta Function, and Geometric Quantization
Takahiko Yoshida
SIGMA 20 (2024), 065, 52 pages [ abs   pdf ]
Identity between Restricted Cauchy Sums for the $q$-Whittaker and Skew Schur Polynomials
Takashi Imamura, Matteo Mucciconi and Tomohiro Sasamoto
SIGMA 20 (2024), 064, 28 pages [ abs   pdf ]
On Some Special Cases of Gaiotto's Positivity Conjecture
Pavel Etingof
SIGMA 20 (2024), 063,   8 pages [ abs   pdf ]
Strong Szegő Limit Theorems for Multi-Bordered, Framed, and Multi-Framed Toeplitz Determinants
Roozbeh Gharakhloo
SIGMA 20 (2024), 062, 51 pages [ abs   pdf ]
Reduction of $L_\infty$-Algebras of Observables on Multisymplectic Manifolds
Casey Blacker, Antonio Michele Miti and Leonid Ryvkin
SIGMA 20 (2024), 061, 47 pages [ abs   pdf ]
Some Differential Equations for the Riemann $\theta$-Function on Jacobians
Robert Wilms
SIGMA 20 (2024), 060, 11 pages [ abs   pdf ]
A New (But Very Nearly Old) Proof of the Rogers-Ramanujan Identities
Hjalmar Rosengren
SIGMA 20 (2024), 059, 10 pages [ abs   pdf ]
Dynamic Feedback Linearization of Control Systems with Symmetry
Jeanne N. Clelland, Taylor J. Klotz and Peter J. Vassiliou
SIGMA 20 (2024), 058, 49 pages [ abs   pdf ]
Smooth Solutions of the tt* Equation: A Numerical Aided Case Study
Yuqi Li
SIGMA 20 (2024), 057, 28 pages [ abs   pdf ]
Talbot Effect for the Manakov System on the Torus
Zihan Yin, Jing Kang, Xiaochuan Liu and Changzheng Qu
SIGMA 20 (2024), 056, 26 pages [ abs   pdf ]
Knots, Perturbative Series and Quantum Modularity
Stavros Garoufalidis and Don Zagier
SIGMA 20 (2024), 055, 87 pages [ abs   pdf ]
Fay Identities of Pfaffian Type for Hyperelliptic Curves
Gaëtan Borot and Thomas Buc-d'Alché
SIGMA 20 (2024), 054, 38 pages [ abs   pdf ]
Infinitesimal Modular Group: $q$-Deformed $\mathfrak{sl}_2$ and Witt Algebra
Alexander Thomas
SIGMA 20 (2024), 053, 16 pages [ abs   pdf ]
Stationarity and Fredholm Theory in Subextremal Kerr-de Sitter Spacetimes
Oliver Petersen and András Vasy
SIGMA 20 (2024), 052, 11 pages [ abs   pdf ]
On the Structure of Set-Theoretic Polygon Equations
Folkert Müller-Hoissen
SIGMA 20 (2024), 051, 30 pages [ abs   pdf ]
A Note on BKP for the Kontsevich Matrix Model with Arbitrary Potential
Gaëtan Borot and Raimar Wulkenhaar
SIGMA 20 (2024), 050, 16 pages [ abs   pdf ]
Generalized Yang Poisson Models on Canonical Phase Space
Tea Martinić Bilać, Stjepan Meljanac and Salvatore Mignemi
SIGMA 20 (2024), 049, 10 pages [ abs   pdf ]
Oriented Closed Polyhedral Maps and the Kitaev Model
Kornél Szlachányi
SIGMA 20 (2024), 048, 55 pages [ abs   pdf ]
Unrestricted Quantum Moduli Algebras, II: Noetherianity and Simple Fraction Rings at Roots of 1
Stéphane Baseilhac and Philippe Roche
SIGMA 20 (2024), 047, 70 pages [ abs   pdf ]
Intertwinings for Continuum Particle Systems: an Algebraic Approach
Simone Floreani, Sabine Jansen and Stefan Wagner
SIGMA 20 (2024), 046, 21 pages [ abs   pdf ]
The Cobb-Douglas Production Function and the Old Bowley's Law
Roman G. Smirnov and Kunpeng Wang
SIGMA 20 (2024), 045, 20 pages [ abs   pdf ]
SICs and the Triangle Group $(3,3,3)$
Danylo Yakymenko
SIGMA 20 (2024), 044, 12 pages [ abs   pdf ]
Some Generalizations of Mirzakhani's Recursion and Masur-Veech Volumes via Topological Recursions
Hiroyuki Fuji and Masahide Manabe
SIGMA 20 (2024), 043, 86 pages [ abs   pdf ]
Asymptotic Expansions of Finite Hankel Transforms and the Surjectivity of Convolution Operators
Yasunori Okada and Hideshi Yamane
SIGMA 20 (2024), 042, 11 pages [ abs   pdf ]
Skew Symplectic and Orthogonal Schur Functions
Naihuan Jing, Zhijun Li and Danxia Wang
SIGMA 20 (2024), 041, 23 pages [ abs   pdf ]
Co-Axial Metrics on the Sphere and Algebraic Numbers
Zhijie Chen, Chang-Shou Lin and Yifan Yang
SIGMA 20 (2024), 040, 30 pages [ abs   pdf ]
Entropy for Monge-Ampère Measures in the Prescribed Singularities Setting
Eleonora Di Nezza, Stefano Trapani and Antonio Trusiani
SIGMA 20 (2024), 039, 19 pages [ abs   pdf ]
Product Inequalities for $\mathbb T^\rtimes$-Stabilized Scalar Curvature
Misha Gromov
SIGMA 20 (2024), 038, 25 pages [ abs   pdf ]
Compatible Poisson Brackets Associated with Elliptic Curves in $G(2,5)$
Nikita Markarian and Alexander Polishchuk
SIGMA 20 (2024), 037, 19 pages [ abs   pdf ]
Categories of Lagrangian Correspondences in Super Hilbert Spaces and Fermionic Functorial Field Theory
Matthias Ludewig
SIGMA 20 (2024), 036, 29 pages [ abs   pdf ]
Scalar Curvature Rigidity of Warped Product Metrics
Christian Bär, Simon Brendle, Bernhard Hanke and Yipeng Wang
SIGMA 20 (2024), 035, 26 pages [ abs   pdf ]
A Weierstrass Representation Formula for Discrete Harmonic Surfaces
Motoko Kotani and Hisashi Naito
SIGMA 20 (2024), 034, 15 pages [ abs   pdf ]
A Laurent Phenomenon for the Cayley Plane
Oliver Daisey and Tom Ducat
SIGMA 20 (2024), 033, 18 pages [ abs   pdf ]
Kähler-Yang-Mills Equations and Vortices
Oscar García-Prada
SIGMA 20 (2024), 032, 13 pages [ abs   pdf ]
Transformations of Currents in Sigma-Models with Target Space Supersymmetry
Vinicius Bernardes, Andrei Mikhailov and Eggon Viana
SIGMA 20 (2024), 031, 27 pages [ abs   pdf ]
Locally Homogeneous Holomorphic Geometric Structures on Projective Varieties
Indranil Biswas and Benjamin McKay
SIGMA 20 (2024), 030, 33 pages [ abs   pdf ]
Reflection Vectors and Quantum Cohomology of Blowups
Todor Milanov and Xiaokun Xia
SIGMA 20 (2024), 029, 60 pages [ abs   pdf ]
Resurgent Structure of the Topological String and the First Painlevé Equation
Kohei Iwaki and Marcos Mariño
SIGMA 20 (2024), 028, 21 pages [ abs   pdf ]
mKdV-Related Flows for Legendrian Curves in the Pseudohermitian 3-Sphere
Annalisa Calini, Thomas Ivey and Emilio Musso
SIGMA 20 (2024), 027, 30 pages [ abs   pdf ]
Resurgence in the Transition Region: The Incomplete Gamma Function
Gergő Nemes
SIGMA 20 (2024), 026, 14 pages [ abs   pdf ]
Compatible $E$-Differential Forms on Lie Algebroids over (Pre-)Multisymplectic Manifolds
Noriaki Ikeda
SIGMA 20 (2024), 025, 19 pages [ abs   pdf ]
Hodge Diamonds of the Landau-Ginzburg Orbifolds
Alexey Basalaev and Andrei Ionov
SIGMA 20 (2024), 024, 25 pages [ abs   pdf ]
Lerch $\Phi$ Asymptotics
Adri B. Olde Daalhuis
SIGMA 20 (2024), 023,   9 pages [ abs   pdf ]
Boundary Value Problems for Dirac Operators on Graphs
Alberto Richtsfeld
SIGMA 20 (2024), 022, 23 pages [ abs   pdf ]
On the Hill Discriminant of Lamé's Differential Equation
Hans Volkmer
SIGMA 20 (2024), 021,   9 pages [ abs   pdf ]
The Clifford Algebra Bundle on Loop Space
Matthias Ludewig
SIGMA 20 (2024), 020, 27 pages [ abs   pdf ]
Painlevé-III Monodromy Maps Under the $D_6\to D_8$ Confluence and Applications to the Large-Parameter Asymptotics of Rational Solutions
Ahmad Barhoumi, Oleg Lisovyy, Peter D. Miller and Andrei Prokhorov
SIGMA 20 (2024), 019, 77 pages [ abs   pdf ]
Quantum Modular $\widehat Z{}^G$-Invariants
Miranda C.N. Cheng, Ioana Coman, Davide Passaro and Gabriele Sgroi
SIGMA 20 (2024), 018, 52 pages [ abs   pdf ]
On Pre-Novikov Algebras and Derived Zinbiel Variety
Pavel Kolesnikov, Farukh Mashurov and Bauyrzhan Sartayev
SIGMA 20 (2024), 017, 15 pages [ abs   pdf ]
Color-Dressed Generalized Biadjoint Scalar Amplitudes: Local Planarity
Freddy Cachazo, Nick Early and Yong Zhang
SIGMA 20 (2024), 016, 44 pages [ abs   pdf ]
Superposition Formulae for the Geometric Bäcklund Transformations of the Hyperbolic and Elliptic Sine-Gordon and Sinh-Gordon Equations
Filipe Kelmer and Keti Tenenblat
SIGMA 20 (2024), 015, 27 pages [ abs   pdf ]
A Note about Isotopy and Concordance of Positive Scalar Curvature Metrics on Compact Manifolds with Boundary
Alessandro Carlotto and Chao Li
SIGMA 20 (2024), 014, 13 pages [ abs   pdf ]
Lepage Equivalents and the Variational Bicomplex
David Saunders
SIGMA 20 (2024), 013, 18 pages [ abs   pdf ]
$\mathfrak{gl}(3)$ Polynomial Integrable System: Different Faces of the 3-Body/${\mathcal A}_2$ Elliptic Calogero Model
Alexander V. Turbiner, Juan Carlos Lopez Vieyra and Miguel A. Guadarrama-Ayala
SIGMA 20 (2024), 012, 23 pages [ abs   pdf ]
Twisted Sectors for Lagrangian Floer Theory on Symplectic Orbifolds
Bohui Chen, Kaoru Ono and Bai-Ling Wang
SIGMA 20 (2024), 011, 14 pages [ abs   pdf ]
A Pseudodifferential Analytic Perspective on Getzler's Rescaling
Georges Habib and Sylvie Paycha
SIGMA 20 (2024), 010, 34 pages [ abs   pdf ]
Taking Music Seriously: on the Dynamics of 'Mathemusical' Research with a Focus on Hexachordal Theorem
Moreno Andreatta, Corentin Guichaoua and Nicolas Juillet
SIGMA 20 (2024), 009, 19 pages [ abs   pdf ]
Differential Equations for Approximate Solutions of Painlevé Equations: Application to the Algebraic Solutions of the Painlevé-III $({\rm D}_7)$ Equation
Robert J. Buckingham and Peter D. Miller
SIGMA 20 (2024), 008, 27 pages [ abs   pdf ]
A General Dixmier Trace Formula for the Density of States on Open Manifolds
Eva-Maria Hekkelman and Edward Mcdonald
SIGMA 20 (2024), 007, 34 pages [ abs   pdf ]
Moving Frames: Difference and Differential-Difference Lagrangians
Lewis C. White and Peter E. Hydon
SIGMA 20 (2024), 006, 29 pages [ abs   pdf ]
Computing the Tracy-Widom Distribution for Arbitrary $\beta>0$
Thomas Trogdon and Yiting Zhang
SIGMA 20 (2024), 005, 26 pages [ abs   pdf ]
Recurrence Coefficients for Orthogonal Polynomials with a Logarithmic Weight Function
Percy Deift and Mateusz Piorkowski
SIGMA 20 (2024), 004, 48 pages [ abs   pdf ]
Optimal Transport and Generalized Ricci Flow
Eva Kopfer and Jeffrey Streets
SIGMA 20 (2024), 003, 15 pages [ abs   pdf ]
Computation of Infinitesimals for a Group Action on a Multispace of One Independent Variable
Peter Rock
SIGMA 20 (2024), 002, 18 pages [ abs   pdf ]
A Note on the Equidistribution of 3-Colour Partitions
Joshua Males
SIGMA 20 (2024), 001,   8 pages [ abs   pdf ]

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