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


Volume 21, 2025   (Current volume)


Small Volume Bodies of Constant Width with Tetrahedral Symmetries
Andrii Arman, Andriy Bondarenko, Andriy Prymak and Danylo Radchenko
SIGMA 21 (2025), 109,   8 pages [ abs   pdf ]
Even Hypergeometric Polynomials and Finite Free Commutators
Jacob Campbell, Rafael Morales and Daniel Perales
SIGMA 21 (2025), 108, 33 pages [ abs   pdf ]
A-Type Open ${\rm SL}(2,\mathbb{C})$ Spin Chain
Pavel V. Antonenko, Sergey É. Derkachov and Pavel A. Valinevich
SIGMA 21 (2025), 107, 48 pages [ abs   pdf ]
Myers-Steenrod Theorems for Metric and Singular Riemannian Foliations
Diego Corro and Fernando Galaz-García
SIGMA 21 (2025), 106, 23 pages [ abs   pdf ]
Quantum Groups, Discrete Magnus Expansion, Pre-Lie and Tridendriform Algebras
Anastasia Doikou
SIGMA 21 (2025), 105, 32 pages [ abs   pdf ]
Basis Partitions and Their Signature
Krishnaswami Alladi
SIGMA 21 (2025), 104, 17 pages [ abs   pdf ]
Orthogonal Polynomials with Complex Densities and Quantum Minimal Surfaces
Giovanni Felder and Jens Hoppe
SIGMA 21 (2025), 103, 13 pages [ abs   pdf ]
The Space of Dirac-Minimal Metrics is Connected in Dimensions 2 and 4
Bernd Ammann and Mattias Dahl
SIGMA 21 (2025), 102, 18 pages [ abs   pdf ]
The Regularity of ODEs and Thimble Integrals with Respect to Borel Summation
Veronica Fantini and Aaron Fenyes
SIGMA 21 (2025), 101, 69 pages [ abs   pdf ]
Higher Symmetries in Twisted Eleven-Dimensional Supergravity
Fabian Hahner, Natalie M. Paquette and Surya Raghavendran
SIGMA 21 (2025), 100, 30 pages [ abs   pdf ]
Darboux Transformation of Diffusion Processes
Alexey Kuznetsov and Minjian Yuan
SIGMA 21 (2025), 099, 25 pages [ abs   pdf ]
Toda-Type Presentations for the Quantum K Theory of Partial Flag Varieties
Kamyar Amini, Irit Huq-Kuruvilla, Leonardo C. Mihalcea, Daniel Orr and Weihong Xu
SIGMA 21 (2025), 098, 26 pages [ abs   pdf ]
Rational Solutions of Painlevé V from Hankel Determinants and the Asymptotics of Their Pole Locations
Malik Balogoun and Marco Bertola
SIGMA 21 (2025), 097, 50 pages [ abs   pdf ]
Weak Gauge PDEs
Maxim Grigoriev and Dmitry Rudinsky
SIGMA 21 (2025), 096, 22 pages [ abs   pdf ]
Construction of Irreducible $\mathcal{U}(\mathfrak{g})^{G'}$-Modules and Discretely Decomposable Restrictions
Masatoshi Kitagawa
SIGMA 21 (2025), 095, 37 pages [ abs   pdf ]
Periodic $Y$-Systems and Nahm Sums: The Rank 2 Case
Yuma Mizuno
SIGMA 21 (2025), 094, 17 pages [ abs   pdf ]
Stolz Positive Scalar Curvature Structure Groups, Proper Actions and Equivariant 2-Types
Massimiliano Puglisi, Thomas Schick and Vito Felice Zenobi
SIGMA 21 (2025), 093, 19 pages [ abs   pdf ]
On Extended Associative Semigroups
Loïc Foissy
SIGMA 21 (2025), 092, 34 pages [ abs   pdf ]
$\Delta$ Invariants of Plumbed Manifolds
Shimal Harichurn, András Némethi and Josef Svoboda
SIGMA 21 (2025), 091, 21 pages [ abs   pdf ]
The Fefferman Metric for Twistor CR Manifolds and Conformal Geodesics in Dimension Three
Taiji Marugame
SIGMA 21 (2025), 090, 26 pages [ abs   pdf ]
Integrable Twelve-Component Nonlinear Dynamical System on a Quasi-One-Dimensional Lattice
Oleksiy O. Vakhnenko and Vyacheslav O. Vakhnenko
SIGMA 21 (2025), 089, 17 pages [ abs   pdf ]
Perturbations of APS Boundary Conditions for Lorentzian Dirac Operators
Lennart Ronge
SIGMA 21 (2025), 088, 13 pages [ abs   pdf ]
Bilateral Two-Parameter Mock Theta Functions and Related Applications
Chun Wang
SIGMA 21 (2025), 087, 18 pages [ abs   pdf ]
Quasi-Polynomial Extensions of Nonsymmetric Macdonald-Koornwinder Polynomials
Jasper Stokman
SIGMA 21 (2025), 086, 42 pages [ abs   pdf ]
Categorical Fermionic Actions and Minimal Modular Extensions
César Galindo and César F. Venegas-Ramírez
SIGMA 21 (2025), 085, 35 pages [ abs   pdf ]
Ultra-Discretization of Yang-Baxter Maps, Probability Distributions and Independence Preserving Property
Hiroki Kondo, Sachiko Nakajima and Makiko Sasada
SIGMA 21 (2025), 084, 16 pages [ abs   pdf ]
$q$-Hypergeometric Orthogonal Polynomials with $q=-1$
Luis Verde-Star
SIGMA 21 (2025), 083, 19 pages [ abs   pdf ]
Killing Superalgebras in 2 Dimensions
Andrew D.K. Beckett
SIGMA 21 (2025), 082, 16 pages [ abs   pdf ]
Killing (Super)Algebras Associated to Connections on Spinors
Andrew D.K. Beckett
SIGMA 21 (2025), 081, 61 pages [ abs   pdf ]
Skew Plücker Relations
Kazuya Aokage, Eriko Shinkawa and Hiro-Fumi Yamada
SIGMA 21 (2025), 080, 19 pages [ abs   pdf ]
The Ising Model Coupled to 2D Gravity: Genus Zero Partition Function
Maurice Duits, Nathan Hayford and Seung-Yeop Lee
SIGMA 21 (2025), 079, 90 pages [ abs   pdf ]
Rectangular Recurrence Relations in $\mathfrak{gl}_{n}$ and $\mathfrak{o}_{2n+1}$ Invariant Integrable Models
Andrii Liashyk, Stanislav Pakuliak and Eric Ragoucy
SIGMA 21 (2025), 078, 28 pages [ abs   pdf ]
Integrable 3-Site, Tilted, Extended Bose-Hubbard Model with Nearest-Neighbour Interactions
Jon Links
SIGMA 21 (2025), 077, 11 pages [ abs   pdf ]
Prolongation of $(8,15)$-Distribution of Type $F_4$ by Singular Curves
Goo Ishikawa and Yoshinori Machida
SIGMA 21 (2025), 076, 20 pages [ abs   pdf ]
Isomonodromy and Painlevé Type Equations, Case Studies
Marius van der Put and Jaap Top
SIGMA 21 (2025), 075, 32 pages [ abs   pdf ]
Cyclic Objects from Surfaces
Ivan Bartulović
SIGMA 21 (2025), 074, 44 pages [ abs   pdf ]
$\widehat{Z}$ and Splice Diagrams
Sergei Gukov, Ludmil Katzarkov and Josef Svoboda
SIGMA 21 (2025), 073, 30 pages [ abs   pdf ]
Ricci-Flat Manifolds, Parallel Spinors and the Rosenberg Index
Thomas Tony
SIGMA 21 (2025), 072,   7 pages [ abs   pdf ]
Linear Independence for $A_1^{(1)}$ by Using $C_{2}^{(1)}$
Mirko Primc and Goran Trupčević
SIGMA 21 (2025), 071,   6 pages [ abs   pdf ]
Mikami-Weinstein Type Theorem for Cosymplectic Groupoid Actions
Shuhei Yonehara
SIGMA 21 (2025), 070, 11 pages [ abs   pdf ]
Curves on Endo-Pajitnov Manifolds
Cristian Ciulică
SIGMA 21 (2025), 069,   8 pages [ abs   pdf ]
From Toda Hierarchy to KP Hierarchy
Di Yang and Jian Zhou
SIGMA 21 (2025), 068, 25 pages [ abs   pdf ]
Trans-Series Asymptotics of Solutions to the Degenerate Painlevé III Equation: A Case Study
Arthur Vartanian
SIGMA 21 (2025), 067, 135 pages [ abs   pdf ]
Symmetric Separation of Variables for the Extended Clebsch and Manakov Models
Taras Skrypnyk
SIGMA 21 (2025), 066, 19 pages [ abs   pdf ]
On the Structure of Trans-Series in Quantum Field Theory
Marcos Mariño, Ramon Miravitllas and Tomás Reis
SIGMA 21 (2025), 065, 33 pages [ abs   pdf ]
Two-Parameter Quantum Groups and $R$-Matrices: Classical Types
Ian Martin and Alexander Tsymbaliuk
SIGMA 21 (2025), 064, 54 pages [ abs   pdf ]
Birational Equivalences and Generalized Weyl Algebras
Atabey Kaygun
SIGMA 21 (2025), 063, 15 pages [ abs   pdf ]
Deformation Families of Quasi-Projective Varieties and Symmetric Projective K3 Surfaces
Fan Xu
SIGMA 21 (2025), 062, 22 pages [ abs   pdf ]
Deformation Quantization with Separation of Variables of $G_{2,4}(\mathbb{C})$
Taika Okuda and Akifumi Sako
SIGMA 21 (2025), 061, 32 pages [ abs   pdf ]
New Combinatorial Formulae for Nested Bethe Vectors
Maksim Kosmakov and Vitaly Tarasov
SIGMA 21 (2025), 060, 28 pages [ abs   pdf ]
Discrete Lagrangian Multiforms for ABS Equations II: Tetrahedron and Octahedron Equations
Jacob J. Richardson and Mats Vermeeren
SIGMA 21 (2025), 059, 27 pages [ abs   pdf ]
Discrete Lagrangian Multiforms for ABS Equations I: Quad Equations
Jacob J. Richardson and Mats Vermeeren
SIGMA 21 (2025), 058, 30 pages [ abs   pdf ]
Hilbert Series of $S_3$-Quasi-Invariant Polynomials in Characteristics 2, 3
Frank Wang and Eric Yee
SIGMA 21 (2025), 057, 24 pages [ abs   pdf ]
Positive Weighted Partitions Generated by Double Series
George E. Andrews and Mohamed El Bachraoui
SIGMA 21 (2025), 056, 12 pages [ abs   pdf ]
Hyperdeterminantal Total Positivity
Kenneth W. Johnson and Donald St. P. Richards
SIGMA 21 (2025), 055, 18 pages [ abs   pdf ]
On Axially Symmetric Perturbations of Kerr Black Hole Spacetimes
Nishanth Gudapati
SIGMA 21 (2025), 054, 72 pages [ abs   pdf ]
Some Spherical Function Values for Hook Tableaux Isotypes and Young Subgroups
Charles F. Dunkl
SIGMA 21 (2025), 053, 17 pages [ abs   pdf ]
An Algebra of Elliptic Commuting Variables and an Elliptic Extension of the Multinomial Theorem
Michael J. Schlosser
SIGMA 21 (2025), 052, 15 pages [ abs   pdf ]
Factorization of Basic Hypergeometric Series
Jonathan G. Bradley-Thrush
SIGMA 21 (2025), 051, 20 pages [ abs   pdf ]
Bäcklund-Darboux Transformations for Super KdV Type Equations
Lingling Xue, Shasha Wang and Qing Ping Liu
SIGMA 21 (2025), 050, 22 pages [ abs   pdf ]
The Rogers-Ramanujan Identities and Cauchy's Identity
Dennis Stanton
SIGMA 21 (2025), 049,   6 pages [ abs   pdf ]
Strict Quantization for Compact Pseudo-Kähler Manifolds and Group Actions
Andrea Galasso
SIGMA 21 (2025), 048, 25 pages [ abs   pdf ]
Maximal Graded Solvable Subalgebras of Simple Finite-Dimensional Vectorial Lie Superalgebras
Irina Shchepochkina
SIGMA 21 (2025), 047, 11 pages [ abs   pdf ]
Correlated Gromov-Witten Invariants
Thomas Blomme and Francesca Carocci
SIGMA 21 (2025), 046, 49 pages [ abs   pdf ]
Quadratic Varieties of Small Codimension
Kiwamu Watanabe
SIGMA 21 (2025), 045, 14 pages [ abs   pdf ]
On Complex Lie Algebroids with Constant Real Rank
Dan Aguero
SIGMA 21 (2025), 044, 25 pages [ abs   pdf ]
Hexagonal Circular 3-Webs with Reducible Polar Curves of Degree Three
Sergey I. Agafonov
SIGMA 21 (2025), 043, 31 pages [ abs   pdf ]
On Degenerations of the Projective Plane
Jürgen Hausen, Katharina Király and Milena Wrobel
SIGMA 21 (2025), 042, 16 pages [ abs   pdf ]
Twisted Fusion Products and Quantum Twisted $Q$-Systems
Mingyan Simon Lin
SIGMA 21 (2025), 041, 41 pages [ abs   pdf ]
Integrable Dynamics in Projective Geometry via Dimers and Triple Crossing Diagram Maps on the Cylinder
Niklas Christoph Affolter, Terrence George and Sanjay Ramassamy
SIGMA 21 (2025), 040, 48 pages [ abs   pdf ]
Module Categories of the Generic Virasoro VOA and Quantum Groups
Shinji Koshida
SIGMA 21 (2025), 039, 26 pages [ abs   pdf ]
1D Landau-Ginzburg Superpotential of Big Quantum Cohomology of $\mathbb{CP}^2$
Guilherme F. Almeida
SIGMA 21 (2025), 038, 65 pages [ abs   pdf ]
The Stacey-Roberts Lemma for Banach Manifolds
Peter Kristel and Alexander Schmeding
SIGMA 21 (2025), 037, 20 pages [ abs   pdf ]
On Kazama-Suzuki Duality between $\mathcal W_k(\mathfrak{sl}_4, f_{\rm sub})$ and $N=2$ Superconformal Vertex Algebra
Dražen Adamović and Ana Kontrec
SIGMA 21 (2025), 036, 23 pages [ abs   pdf ]
A Pile of Shifts II: Structure and $K$-Theory
Shelley Hebert, Slawomir Klimek, Matt McBride and J. Wilson Peoples
SIGMA 21 (2025), 035, 22 pages [ abs   pdf ]
A Test of a Conjecture of Cardy
Van Higgs and Doug Pickrell
SIGMA 21 (2025), 034, 12 pages [ abs   pdf ]
Uniformity of Strong Asymptotics in Angelesco Systems
Maxim L. Yattselev
SIGMA 21 (2025), 033, 41 pages [ abs   pdf ]
Bilateral Bailey Lattices and Andrews-Gordon Type Identities
Jehanne Dousse, Frédéric Jouhet and Isaac Konan
SIGMA 21 (2025), 032, 32 pages [ abs   pdf ]
Unobstructed Immersed Lagrangian Correspondence and Filtered $A_{\infty}$ Functor
Kenji Fukaya
SIGMA 21 (2025), 031, 284 pages [ abs   pdf ]
Sign Convention for $A_{\infty}$-Operations in Bott-Morse Case
Kaoru Ono
SIGMA 21 (2025), 030, 16 pages [ abs   pdf ]
On Integrable Nets in General and Concordant Chebyshev Nets in Particular
Michal Marvan
SIGMA 21 (2025), 029, 34 pages [ abs   pdf ]
Note on Exponents Associated with Y-Systems
Ryo Takenaka
SIGMA 21 (2025), 028, 21 pages [ abs   pdf ]
The Morse-Smale Property of the Thurston Spine
Ingrid Irmer
SIGMA 21 (2025), 027, 32 pages [ abs   pdf ]
Zeros of Hook Polynomials and Related Questions
Walter Bridges, William Craig, Amanda Folsom and Larry Rolen
SIGMA 21 (2025), 026, 14 pages [ abs   pdf ]
Yangians, Mirabolic Subalgebras, and Whittaker Vectors
Artem Kalmykov
SIGMA 21 (2025), 025, 54 pages [ abs   pdf ]
Twisted Post-Hopf Algebras, Twisted Relative Rota-Baxter Operators and Hopf Trusses
José Manuel Fernández Vilaboa, Ramón González Rodríguez and Brais Ramos Pérez
SIGMA 21 (2025), 024, 36 pages [ abs   pdf ]
Macdonald Identities, Weyl-Kac Denominator Formulas and Affine Grassmannian Elements
Cédric Lecouvey and David Wahiche
SIGMA 21 (2025), 023, 45 pages [ abs   pdf ]
Mode Stability of Hermitian Instantons
Lars Andersson, Bernardo Araneda and Mattias Dahl
SIGMA 21 (2025), 022, 13 pages [ abs   pdf ]
Bailey Pairs and an Identity of Chern-Li-Stanton-Xue-Yee
Shashank Kanade and Jeremy Lovejoy
SIGMA 21 (2025), 021, 22 pages [ abs   pdf ]
Non-Integrability of the Sasano System of Type $D_5^{(1)}$ and Stokes Phenomena
Tsvetana Stoyanova
SIGMA 21 (2025), 020, 24 pages [ abs   pdf ]
A Minimum Property for Cuboidal Lattice Sums
Shaun Cooper and Peter Schwerdtfeger
SIGMA 21 (2025), 019,   7 pages [ abs   pdf ]
Mass from an Extrinsic Point of View
Alexandre de Sousa and Frederico Girão
SIGMA 21 (2025), 018, 11 pages [ abs   pdf ]
The Geometry of Generalised Spin${}^r$ Spinors on Projective Spaces
Diego Artacho and Jordan Hofmann
SIGMA 21 (2025), 017, 32 pages [ abs   pdf ]
Tangent Weights and Invariant Curves in Type A Bow Varieties
Alexander Foster and Yiyan Shou
SIGMA 21 (2025), 016, 33 pages [ abs   pdf ]
Experimenting with the Garsia-Milne Involution Principle
Shalosh B. Ekhad and Doron Zeilberger
SIGMA 21 (2025), 015,   6 pages [ abs   pdf ]
Strichartz Estimates for the $(k,a)$-Generalized Laguerre Operators
Kouichi Taira and Hiroyoshi Tamori
SIGMA 21 (2025), 014, 37 pages [ abs   pdf ]
Modular Exercises for Four-Point Blocks - I
Miranda C.N. Cheng, Terry Gannon and Guglielmo Lockhart
SIGMA 21 (2025), 013, 61 pages [ abs   pdf ]
Counting Curves with Tangencies
Indranil Biswas, Apratim Choudhury, Ritwik Mukherjee and Anantadulal Paul
SIGMA 21 (2025), 012, 50 pages [ abs   pdf ]
On Invariants of Constant $p$-Mean Curvature Surfaces in the Heisenberg Group $H_1$
Hung-Lin Chiu, Sin-Hua Lai and Hsiao-Fan Liu
SIGMA 21 (2025), 011, 25 pages [ abs   pdf ]
Fermionic Basis in Conformal Field Theory and Thermodynamic Bethe Ansatz for Excited States II
Sergei Adler and Hermann Boos
SIGMA 21 (2025), 010, 21 pages [ abs   pdf ]
Geometric Transformations on Null Curves in the Anti-de Sitter 3-Space
Emilio Musso and Álvaro Pámpano
SIGMA 21 (2025), 009, 18 pages [ abs   pdf ]
Wall Crossing and the Fourier-Mukai Transform for Grassmann Flops
Nathan Priddis, Mark Shoemaker and Yaoxiong Wen
SIGMA 21 (2025), 008, 33 pages [ abs   pdf ]
Numerators in Parametric Representations of Feynman Diagrams
Marc P. Bellon
SIGMA 21 (2025), 007, 25 pages [ abs   pdf ]
Positive Intermediate Ricci Curvature on Fibre Bundles
Philipp Reiser and David J. Wraith
SIGMA 21 (2025), 006, 17 pages [ abs   pdf ]
The Ooguri-Vafa Space as a Moduli Space of Framed Wild Harmonic Bundles
Iván Tulli
SIGMA 21 (2025), 005, 63 pages [ abs   pdf ]
Quantum Modularity for a Closed Hyperbolic 3-Manifold
Campbell Wheeler
SIGMA 21 (2025), 004, 74 pages [ abs   pdf ]
Comomentum Sections and Poisson Maps in Hamiltonian Lie Algebroids
Yuji Hirota and Noriaki Ikeda
SIGMA 21 (2025), 003, 21 pages [ abs   pdf ]
Holography of Higher Codimension Submanifolds: Riemannian and Conformal
Samuel Blitz and Josef Šilhan
SIGMA 21 (2025), 002, 41 pages [ abs   pdf ]
Symplectic Differential Reduction Algebras and Generalized Weyl Algebras
Jonas T. Hartwig and Dwight Anderson Williams II
SIGMA 21 (2025), 001, 15 pages [ abs   pdf ]

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