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


Volume 17, 2021   (Current volume)


Locality and General Vacua in Quantum Field Theory
Daniele Colosi and Robert Oeckl
SIGMA 17 (2021), 073, 83 pages [ abs   pdf ]
A Framework for Geometric Field Theories and their Classification in Dimension One
Matthias Ludewig and Augusto Stoffel
SIGMA 17 (2021), 072, 58 pages [ abs   pdf ]
$\mathbb{Z}_2^3$-Graded Extensions of Lie Superalgebras and Superconformal Quantum Mechanics
Shunya Doi and Naruhiko Aizawa
SIGMA 17 (2021), 071, 14 pages [ abs   pdf ]
Singularities of Schubert Varieties within a Right Cell
Martina Lanini and Peter J. McNamara
SIGMA 17 (2021), 070,   9 pages [ abs   pdf ]
Separation of Variables, Quasi-Trigonometric $r$-Matrices and Generalized Gaudin Models
Taras Skrypnyk
SIGMA 17 (2021), 069, 21 pages [ abs   pdf ]
Good Wild Harmonic Bundles and Good Filtered Higgs Bundles
Takuro Mochizuki
SIGMA 17 (2021), 068, 66 pages [ abs   pdf ]
A New Class of Integrable Maps of the Plane: Manin Transformations with Involution Curves
Peter H. van der Kamp
SIGMA 17 (2021), 067, 14 pages [ abs   pdf ]
Manin Matrices for Quadratic Algebras
Alexey Silantyev
SIGMA 17 (2021), 066, 81 pages [ abs   pdf ]
New Techniques for Worldline Integration
James P. Edwards, C. Moctezuma Mata, Uwe Müller and Christian Schubert
SIGMA 17 (2021), 065, 19 pages [ abs   pdf ]
Generalized Gross-Neveu Universality Class with Non-Abelian Symmetry
John A. Gracey
SIGMA 17 (2021), 064, 20 pages [ abs   pdf ]
Completeness of SoV Representation for $\mathrm{SL}(2,\mathbb R)$ Spin Chains
Sergey É. Derkachov, Karol K. Kozlowski and Alexander N. Manashov
SIGMA 17 (2021), 063, 26 pages [ abs   pdf ]
Positive Scalar Curvature on Spin Pseudomanifolds: the Fundamental Group and Secondary Invariants
Boris Botvinnik, Paolo Piazza and Jonathan Rosenberg
SIGMA 17 (2021), 062, 39 pages [ abs   pdf ]
Extrinsic Geometry and Linear Differential Equations
Boris Doubrov, Yoshinori Machida and Tohru Morimoto
SIGMA 17 (2021), 061, 60 pages [ abs   pdf ]
Linear ${\mathbb Z}_2^n$-Manifolds and Linear Actions
Andrew James Bruce, Eduardo Ibarguëngoytia and Norbert Poncin
SIGMA 17 (2021), 060, 58 pages [ abs   pdf ]
Families of Gröbner Degenerations, Grassmannians and Universal Cluster Algebras
Lara Bossinger, Fatemeh Mohammadi and Alfredo Nájera Chávez
SIGMA 17 (2021), 059, 46 pages [ abs   pdf ]
Integrable $\mathcal{E}$-Models, 4d Chern-Simons Theory and Affine Gaudin Models. I. Lagrangian Aspects
Sylvain Lacroix and Benoît Vicedo
SIGMA 17 (2021), 058, 45 pages [ abs   pdf ]
Asymptotic Estimation for Eigenvalues in the Exponential Potential and for Zeros of $K_{{\rm i}\nu}(z)$ with Respect to Order
Yuri Krynytskyi and Andrij Rovenchak
SIGMA 17 (2021), 057,   7 pages [ abs   pdf ]
From Heun Class Equations to Painlevé Equations
Jan Dereziński, Artur Ishkhanyan and Adam Latosiński
SIGMA 17 (2021), 056, 59 pages [ abs   pdf ]
Equivariant Tilting Modules, Pfaffian Varieties and Noncommutative Matrix Factorizations
Yuki Hirano
SIGMA 17 (2021), 055, 43 pages [ abs   pdf ]
Nonsymmetric Macdonald Superpolynomials
Charles F. Dunkl
SIGMA 17 (2021), 054, 29 pages [ abs   pdf ]
Gauss Hypergeometric Representations of the Ferrers Function of the Second Kind
Howard S. Cohl, Justin Park and Hans Volkmer
SIGMA 17 (2021), 053, 33 pages [ abs   pdf ]
Centralizers of Rank One in the First Weyl Algebra
Leonid Makar-Limanov
SIGMA 17 (2021), 052, 13 pages [ abs   pdf ]
Spectra of Compact Quotients of the Oscillator Group
Mathias Fischer and Ines Kath
SIGMA 17 (2021), 051, 48 pages [ abs   pdf ]
On $q$-Isomonodromic Deformations and $q$-Nekrasov Functions
Hajime Nagoya
SIGMA 17 (2021), 050, 21 pages [ abs   pdf ]
Symmetry Breaking Differential Operators for Tensor Products of Spinorial Representations
Jean-Louis Clerc and Khalid Koufany
SIGMA 17 (2021), 049, 23 pages [ abs   pdf ]
Double Box Motive
Spencer Bloch
SIGMA 17 (2021), 048, 12 pages [ abs   pdf ]
Geometry and Conservation Laws for a Class of Second-Order Parabolic Equations II: Conservation Laws
Benjamin B. McMillan
SIGMA 17 (2021), 047, 24 pages [ abs   pdf ]
On Scalar and Ricci Curvatures
Gerard Besson and Sylvestre Gallot
SIGMA 17 (2021), 046, 42 pages [ abs   pdf ]
How Discrete Spectrum and Resonances Influence the Asymptotics of the Toda Shock Wave
Iryna Egorova and Johanna Michor
SIGMA 17 (2021), 045, 32 pages [ abs   pdf ]
On the Abuaf-Ueda Flop via Non-Commutative Crepant Resolutions
Wahei Hara
SIGMA 17 (2021), 044, 22 pages [ abs   pdf ]
The Holonomy Groupoids of Singularly Foliated Bundles
Lachlan Ewen MacDonald
SIGMA 17 (2021), 043, 34 pages [ abs   pdf ]
Linear Independence of Generalized Poincaré Series for Anti-de Sitter 3-Manifolds
Kazuki Kannaka
SIGMA 17 (2021), 042, 15 pages [ abs   pdf ]
A Decomposition of Twisted Equivariant $K$-Theory
José Manuel Gómez and Johana Ramírez
SIGMA 17 (2021), 041, 20 pages [ abs   pdf ]
CFT Correlators for Cardy Bulk Fields via String-Net Models
Christoph Schweigert and Yang Yang
SIGMA 17 (2021), 040, 22 pages [ abs   pdf ]
Degree-One Rational Cherednik Algebras for the Symmetric Group
Briana Foster-Greenwood and Cathy Kriloff
SIGMA 17 (2021), 039, 35 pages [ abs   pdf ]
The Primitive Derivation and Discrete Integrals
Daisuke Suyama and Masahiko Yoshinaga
SIGMA 17 (2021), 038,   9 pages [ abs   pdf ]
Sobolev Lifting over Invariants
Adam Parusiński and Armin Rainer
SIGMA 17 (2021), 037, 31 pages [ abs   pdf ]
Interplay between Opers, Quantum Curves, WKB Analysis, and Higgs Bundles
Olivia Dumitrescu and Motohico Mulase
SIGMA 17 (2021), 036, 53 pages [ abs   pdf ]
Functional Relations on Anisotropic Potts Models: from Biggs Formula to the Tetrahedron Equation
Boris Bychkov, Anton Kazakov and Dmitry Talalaev
SIGMA 17 (2021), 035, 30 pages [ abs   pdf ]
Homotopy Invariance of the Space of Metrics with Positive Scalar Curvature on Manifolds with Singularities
Boris Botvinnik and Mark G. Walsh
SIGMA 17 (2021), 034, 27 pages [ abs   pdf ]
Invariants of Surfaces in Three-Dimensional Affine Geometry
Örn Arnaldsson and Francis Valiquette
SIGMA 17 (2021), 033, 25 pages [ abs   pdf ]
An Introduction to Motivic Feynman Integrals
Claudia Rella
SIGMA 17 (2021), 032, 56 pages [ abs   pdf ]
Representations of the Lie Superalgebra $\mathfrak{osp}(1|2n)$ with Polynomial Bases
Asmus K. Bisbo, Hendrik De Bie and Joris Van der Jeugt
SIGMA 17 (2021), 031, 27 pages [ abs   pdf ]
Prescribed Riemannian Symmetries
Alexandru Chirvasitu
SIGMA 17 (2021), 030, 17 pages [ abs   pdf ]
Twisted Traces and Positive Forms on Quantized Kleinian Singularities of Type A
Pavel Etingof, Daniil Klyuev, Eric Rains and Douglas Stryker
SIGMA 17 (2021), 029, 31 pages [ abs   pdf ]
Stringy Kähler Moduli for the Pfaffian-Grassmannian Correspondence
Will Donovan
SIGMA 17 (2021), 028, 22 pages [ abs   pdf ]
From Orthocomplementations to Locality
Pierre Clavier, Li Guo, Sylvie Paycha and Bin Zhang
SIGMA 17 (2021), 027, 23 pages [ abs   pdf ]
Mixed vs Stable Anti-Yetter-Drinfeld Contramodules
Ilya Shapiro
SIGMA 17 (2021), 026, 10 pages [ abs   pdf ]
Some Algebraic Aspects of the Inhomogeneous Six-Vertex Model
Vladimir V. Bazhanov, Gleb A. Kotousov, Sergii M. Koval and Sergei L. Lukyanov
SIGMA 17 (2021), 025, 29 pages [ abs   pdf ]
Space Curves and Solitons of the KP Hierarchy. I. The $l$-th Generalized KdV Hierarchy
Yuji Kodama and Yuancheng Xie
SIGMA 17 (2021), 024, 43 pages [ abs   pdf ]
Twisted-Austere Submanifolds in Euclidean Space
Thomas A. Ivey and Spiro Karigiannis
SIGMA 17 (2021), 023, 31 pages [ abs   pdf ]
The Differential Geometry of the Orbit Space of Extended Affine Jacobi Group $A_1$
Guilherme F. Almeida
SIGMA 17 (2021), 022, 39 pages [ abs   pdf ]
Parameter Permutation Symmetry in Particle Systems and Random Polymers
Leonid Petrov
SIGMA 17 (2021), 021, 34 pages [ abs   pdf ]
A Spectral Triple for a Solenoid Based on the Sierpinski Gasket
Valeriano Aiello, Daniele Guido and Tommaso Isola
SIGMA 17 (2021), 020, 21 pages [ abs   pdf ]
Computing Regular Meromorphic Differential Forms via Saito's Logarithmic Residues
Shinichi Tajima and Katsusuke Nabeshima
SIGMA 17 (2021), 019, 21 pages [ abs   pdf ]
Quantum K-Theory of Grassmannians and Non-Abelian Localization
Alexander Givental and Xiaohan Yan
SIGMA 17 (2021), 018, 24 pages [ abs   pdf ]
Convergence to the Product of the Standard Spheres and Eigenvalues of the Laplacian
Masayuki Aino
SIGMA 17 (2021), 017, 29 pages [ abs   pdf ]
Exceptional Legendre Polynomials and Confluent Darboux Transformations
María Ángeles García-Ferrero, David Gómez-Ullate and Robert Milson
SIGMA 17 (2021), 016, 19 pages [ abs   pdf ]
Stäckel Equivalence of Non-Degenerate Superintegrable Systems, and Invariant Quadrics
Andreas Vollmer
SIGMA 17 (2021), 015, 13 pages [ abs   pdf ]
The Subelliptic Heat Kernel of the Octonionic Anti-De Sitter Fibration
Fabrice Baudoin and Gunhee Cho
SIGMA 17 (2021), 014,   9 pages [ abs   pdf ]
Curvature-Dimension Condition Meets Gromov's $n$-Volumic Scalar Curvature
Jialong Deng
SIGMA 17 (2021), 013, 20 pages [ abs   pdf ]
Topological T-Duality for Twisted Tori
Paolo Aschieri and Richard J. Szabo
SIGMA 17 (2021), 012, 51 pages [ abs   pdf ]
Invariant Dirac Operators, Harmonic Spinors, and Vanishing Theorems in CR Geometry
Felipe Leitner
SIGMA 17 (2021), 011, 25 pages [ abs   pdf ]
$C$-Vectors and Non-Self-Crossing Curves for Acyclic Quivers of Finite Type
Su Ji Hong
SIGMA 17 (2021), 010, 25 pages [ abs   pdf ]
Double Lowering Operators on Polynomials
Paul Terwilliger
SIGMA 17 (2021), 009, 38 pages [ abs   pdf ]
Pfaffian Point Processes from Free Fermion Algebras: Perfectness and Conditional Measures
Shinji Koshida
SIGMA 17 (2021), 008, 35 pages [ abs   pdf ]
Harmonic Analysis in $d$-Dimensional Superconformal Field Theory
Ilija Burić
SIGMA 17 (2021), 007, 38 pages [ abs   pdf ]
Poisson Principal Bundles
Shahn Majid and Liam Williams
SIGMA 17 (2021), 006, 23 pages [ abs   pdf ]
Quantum Groups for Restricted SOS Models
Giovanni Felder and Muze Ren
SIGMA 17 (2021), 005, 26 pages [ abs   pdf ]
The Arithmetic Geometry of AdS$_2$ and its Continuum Limit
Minos Axenides, Emmanuel Floratos and Stam Nicolis
SIGMA 17 (2021), 004, 22 pages [ abs   pdf ]
The Expansion of Wronskian Hermite Polynomials in the Hermite Basis
Codruţ Grosu and Corina Grosu
SIGMA 17 (2021), 003, 14 pages [ abs   pdf ]
A Fully Noncommutative Painlevé II Hierarchy: Lax Pair and Solutions Related to Fredholm Determinants
Sofia Tarricone
SIGMA 17 (2021), 002, 25 pages [ abs   pdf ]
With Wronskian through the Looking Glass
Vassily Gorbounov and Vadim Schechtman
SIGMA 17 (2021), 001, 26 pages [ abs   pdf ]

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