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


Volume 20, 2024   (Current volume)


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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