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


Volume 16, 2020   (Current volume)


Walls for $G$-Hilb via Reid's Recipe
Ben Wormleighton
SIGMA 16 (2020), 106, 38 pages [ abs   pdf ]
Basic Properties of Non-Stationary Ruijsenaars Functions
Edwin Langmann, Masatoshi Noumi and Junichi Shiraishi
SIGMA 16 (2020), 105, 26 pages [ abs   pdf ]
Conjectures and Open Questions on the Structure and Regularity of Spaces with Lower Ricci Curvature Bounds
Aaron Naber
SIGMA 16 (2020), 104,   8 pages [ abs   pdf ]
Symmetries of the Simply-Laced Quantum Connections and Quantisation of Quiver Varieties
Gabriele Rembado
SIGMA 16 (2020), 103, 44 pages [ abs   pdf ]
Triangle Groups: Automorphic Forms and Nonlinear Differential Equations
Sujay K. Ashok, Dileep P. Jatkar and Madhusudhan Raman
SIGMA 16 (2020), 102, 13 pages [ abs   pdf ]
A Combinatorial Description of Certain Polynomials Related to the XYZ Spin Chain
Linnea Hietala
SIGMA 16 (2020), 101, 26 pages [ abs   pdf ]
A Riemann-Hilbert Approach to Asymptotic Analysis of Toeplitz+Hankel Determinants
Roozbeh Gharakhloo and Alexander Its
SIGMA 16 (2020), 100, 47 pages [ abs   pdf ]
Dihedral Rigidity of Parabolic Polyhedrons in Hyperbolic Spaces
Chao Li
SIGMA 16 (2020), 099,   8 pages [ abs   pdf ]
Twisted Hochschild Homology of Quantum Flag Manifolds and Kähler Forms
Marco Matassa
SIGMA 16 (2020), 098, 18 pages [ abs   pdf ]
Differential Calculus of Hochschild Pairs for Infinity-Categories
Isamu Iwanari
SIGMA 16 (2020), 097, 57 pages [ abs   pdf ]
Torus-Equivariant Chow Rings of Quiver Moduli
Hans Franzen
SIGMA 16 (2020), 096, 22 pages [ abs   pdf ]
Covariant vs Contravariant Methods in Differential Geometry
Maung Min-Oo
SIGMA 16 (2020), 095, 10 pages [ abs   pdf ]
On Abelianity Lines in Elliptic $W$-Algebras
Jean Avan, Luc Frappat and Eric Ragoucy
SIGMA 16 (2020), 094, 18 pages [ abs   pdf ]
Feature Matching and Heat Flow in Centro-Affine Geometry
Peter J. Olver, Changzheng Qu and Yun Yang
SIGMA 16 (2020), 093, 22 pages [ abs   pdf ]
On the Generalized Cluster Algebras of Geometric Type
Liqian Bai, Xueqing Chen, Ming Ding and Fan Xu
SIGMA 16 (2020), 092, 14 pages [ abs   pdf ]
The Causal Action in Minkowski Space and Surface Layer Integrals
Felix Finster
SIGMA 16 (2020), 091, 83 pages [ abs   pdf ]
About Bounds for Eigenvalues of the Laplacian with Density
Aïssatou Mossèle Ndiaye
SIGMA 16 (2020), 090,   8 pages [ abs   pdf ]
Simple Vectorial Lie Algebras in Characteristic 2 and their Superizations
Sofiane Bouarroudj, Pavel Grozman, Alexei Lebedev, Dimitry Leites and Irina Shchepochkina
SIGMA 16 (2020), 089, 101 pages [ abs   pdf ]
Multidimensional Matrix Inversions and Elliptic Hypergeometric Series on Root Systems
Hjalmar Rosengren and Michael J. Schlosser
SIGMA 16 (2020), 088, 21 pages [ abs   pdf ]
Perturbed $(2n-1)$-Dimensional Kepler Problem and the Nilpotent Adjoint Orbits of $U(n, n)$
Anatol Odzijewicz
SIGMA 16 (2020), 087, 23 pages [ abs   pdf ]
Uniform Lower Bound for Intersection Numbers of $\psi$-Classes
Vincent Delecroix, Élise Goujard, Peter Zograf and Anton Zorich
SIGMA 16 (2020), 086, 13 pages [ abs   pdf ]
A Fock Model and the Segal-Bargmann Transform for the Minimal Representation of the Orthosymplectic Lie Superalgebra $\mathfrak{osp}(m,2|2n)$
Sigiswald Barbier, Sam Claerebout and Hendrik De Bie
SIGMA 16 (2020), 085, 33 pages [ abs   pdf ]
Branching Rules for Koornwinder Polynomials with One Column Diagrams and Matrix Inversions
Ayumu Hoshino and Jun'ichi Shiraishi
SIGMA 16 (2020), 084, 28 pages [ abs   pdf ]
On Products of Delta Distributions and Resultants
Michel Bauer and Jean-Bernard Zuber
SIGMA 16 (2020), 083, 11 pages [ abs   pdf ]
On the Unbounded Picture of $KK$-Theory
Jens Kaad
SIGMA 16 (2020), 082, 21 pages [ abs   pdf ]
Integral Structure for Simple Singularities
Todor Milanov and Chenghan Zha
SIGMA 16 (2020), 081, 28 pages [ abs   pdf ]
Modular Construction of Free Hyperplane Arrangements
Shuhei Tsujie
SIGMA 16 (2020), 080, 19 pages [ abs   pdf ]
Admissible Boundary Values for the Gerdjikov-Ivanov Equation with Asymptotically Time-Periodic Boundary Data
Samuel Fromm
SIGMA 16 (2020), 079, 15 pages [ abs   pdf ]
The Fundamental Groups of Open Manifolds with Nonnegative Ricci Curvature
Jiayin Pan
SIGMA 16 (2020), 078, 16 pages [ abs   pdf ]
Twisted Representations of Algebra of $q$-Difference Operators, Twisted $q$-$W$ Algebras and Conformal Blocks
Mikhail Bershtein and Roman Gonin
SIGMA 16 (2020), 077, 55 pages [ abs   pdf ]
Elliptic and $q$-Analogs of the Fibonomial Numbers
Nantel Bergeron, Cesar Ceballos and Josef Küstner
SIGMA 16 (2020), 076, 16 pages [ abs   pdf ]
The Racah Algebra as a Subalgebra of the Bannai-Ito Algebra
Hau-Wen Huang
SIGMA 16 (2020), 075, 15 pages [ abs   pdf ]
The Endless Beta Integrals
Gor A. Sarkissian and Vyacheslav P. Spiridonov
SIGMA 16 (2020), 074, 21 pages [ abs   pdf ]
Nonstandard Quantum Complex Projective Line
Nicola Ciccoli and Albert Jeu-Liang Sheu
SIGMA 16 (2020), 073, 14 pages [ abs   pdf ]
Barnes-Ismagilov Integrals and Hypergeometric Functions of the Complex Field
Yury A. Neretin
SIGMA 16 (2020), 072, 20 pages [ abs   pdf ]
Evaluations of Noncommutative Polynomials on Algebras: Methods and Problems, and the L'vov-Kaplansky Conjecture
Alexei Kanel-Belov, Sergey Malev, Louis Rowen and Roman Yavich
SIGMA 16 (2020), 071, 61 pages [ abs   pdf ]
Motivic Donaldson-Thomas Invariants of Parabolic Higgs Bundles and Parabolic Connections on a Curve
Roman Fedorov, Alexander Soibelman and Yan Soibelman
SIGMA 16 (2020), 070, 49 pages [ abs   pdf ]
On the Irreducibility of Some Quiver Varieties
Claudio Bartocci, Ugo Bruzzo, Valeriano Lanza and Claudio L.S. Rava
SIGMA 16 (2020), 069, 13 pages [ abs   pdf ]
Gromov Rigidity of Bi-Invariant Metrics on Lie Groups and Homogeneous Spaces
Yukai Sun and Xianzhe Dai
SIGMA 16 (2020), 068,   6 pages [ abs   pdf ]
Cyclic Sieving and Cluster Duality of Grassmannian
Linhui Shen and Daping Weng
SIGMA 16 (2020), 067, 41 pages [ abs   pdf ]
Dendriform Algebras Relative to a Semigroup
Marcelo Aguiar
SIGMA 16 (2020), 066, 15 pages [ abs   pdf ]
Solvable Lie Algebras of Vector Fields and a Lie's Conjecture
Katarzyna Grabowska and Janusz Grabowski
SIGMA 16 (2020), 065, 14 pages [ abs   pdf ]
The Bochner Technique and Weighted Curvatures
Peter Petersen and Matthias Wink
SIGMA 16 (2020), 064, 10 pages [ abs   pdf ]
The Elliptic Painlevé Lax Equation vs. van Diejen's 8-Coupling Elliptic Hamiltonian
Masatoshi Noumi, Simon Ruijsenaars and Yasuhiko Yamada
SIGMA 16 (2020), 063, 16 pages [ abs   pdf ]
Contingency Tables with Variable Margins (with an Appendix by Pavel Etingof)
Mikhail Kapranov and Vadim Schechtman
SIGMA 16 (2020), 062, 22 pages [ abs   pdf ]
Noncommutative Residue and Canonical Trace on Noncommutative Tori. Uniqueness Results
Raphaël Ponge
SIGMA 16 (2020), 061, 31 pages [ abs   pdf ]
Multi-Component Extension of CAC Systems
Dan-Da Zhang, Peter H. van der Kamp and Da-Jun Zhang
SIGMA 16 (2020), 060, 30 pages [ abs   pdf ]
Mirror Symmetry for Nonabelian Landau-Ginzburg Models
Nathan Priddis, Joseph Ward and Matthew M. Williams
SIGMA 16 (2020), 059, 31 pages [ abs   pdf ]
On the Number of $\tau$-Tilting Modules over Nakayama Algebras
Hanpeng Gao and Ralf Schiffler
SIGMA 16 (2020), 058, 13 pages [ abs   pdf ]
On Frobenius' Theta Formula
Alessio Fiorentino and Riccardo Salvati Manni
SIGMA 16 (2020), 057, 14 pages [ abs   pdf ]
New Explicit Lorentzian Einstein-Weyl Structures in 3-Dimensions
Joël Merker and Paweł Nurowski
SIGMA 16 (2020), 056, 16 pages [ abs   pdf ]
A Note on Disk Counting in Toric Orbifolds
Kwokwai Chan, Cheol-Hyun Cho, Siu-Cheong Lau, Naichung Conan Leung and Hsian-Hua Tseng
SIGMA 16 (2020), 055, 15 pages [ abs   pdf ]
Reduced Forms of Linear Differential Systems and the Intrinsic Galois-Lie Algebra of Katz
Moulay Barkatou, Thomas Cluzeau, Lucia Di Vizio and Jacques-Arthur Weil
SIGMA 16 (2020), 054, 13 pages [ abs   pdf ]
Addition of Divisors on Hyperelliptic Curves via Interpolation Polynomials
Julia Bernatska and Yaacov Kopeliovich
SIGMA 16 (2020), 053, 21 pages [ abs   pdf ]
On the Extended-Hamiltonian Structure of Certain Superintegrable Systems on Constant-Curvature Riemannian and Pseudo-Riemannian Surfaces
Claudia Maria Chanu and Giovanni Rastelli
SIGMA 16 (2020), 052, 16 pages [ abs   pdf ]
Dual Invertible Polynomials with Permutation Symmetries and the Orbifold Euler Characteristic
Wolfgang Ebeling and Sabir M. Gusein-Zade
SIGMA 16 (2020), 051, 15 pages [ abs   pdf ]
On the Notion of Noncommutative Submanifold
Francesco D'Andrea
SIGMA 16 (2020), 050, 21 pages [ abs   pdf ]
Reddening Sequences for Banff Quivers and the Class $\mathcal{P}$
Eric Bucher and John Machacek
SIGMA 16 (2020), 049, 11 pages [ abs   pdf ]
Triply Periodic Monopoles and Difference Modules on Elliptic Curves
Takuro Mochizuki
SIGMA 16 (2020), 048, 23 pages [ abs   pdf ]
New Separation of Variables for the Classical XXX and XXZ Heisenberg Spin Chains
Guido Magnano and Taras Skrypnyk
SIGMA 16 (2020), 047, 27 pages [ abs   pdf ]
Routh Reduction of Palatini Gravity in Vacuum
Santiago Capriotti
SIGMA 16 (2020), 046, 50 pages [ abs   pdf ]
A Lightcone Embedding of the Twin Building of a Hyperbolic Kac-Moody Group
Lisa Carbone, Alex J. Feingold and Walter Freyn
SIGMA 16 (2020), 045, 47 pages [ abs   pdf ]
Higher Rank $\hat{Z}$ and $F_K$
Sunghyuk Park
SIGMA 16 (2020), 044, 17 pages [ abs   pdf ]
Isomorphism between the $R$-Matrix and Drinfeld Presentations of Quantum Affine Algebra: Types $B$ and $D$
Naihuan Jing, Ming Liu and Alexander Molev
SIGMA 16 (2020), 043, 49 pages [ abs   pdf ]
Is There an Analytic Theory of Automorphic Functions for Complex Algebraic Curves?
Edward Frenkel
SIGMA 16 (2020), 042, 31 pages [ abs   pdf ]
Generalized B-Opers
Indranil Biswas, Laura P. Schaposnik and Mengxue Yang
SIGMA 16 (2020), 041, 28 pages [ abs   pdf ]
Local Moduli of Semisimple Frobenius Coalescent Structures
Giordano Cotti, Boris Dubrovin and Davide Guzzetti
SIGMA 16 (2020), 040, 105 pages [ abs   pdf ]
Representations and Conjugacy Classes of Semisimple Quasitriangular Hopf Algebras
Sebastian Burciu
SIGMA 16 (2020), 039, 20 pages [ abs   pdf ]
Quantum Statistical Mechanics of the Absolute Galois Group
Yuri I. Manin and Matilde Marcolli
SIGMA 16 (2020), 038, 52 pages [ abs   pdf ]
An Infinite-Dimensional $\square_q$-Module Obtained from the $q$-Shuffle Algebra for Affine $\mathfrak{sl}_2$
Sarah Post and Paul Terwilliger
SIGMA 16 (2020), 037, 35 pages [ abs   pdf ]
Note on the Retarded van der Waals Potential within the Dipole Approximation
Tadahiro Miyao
SIGMA 16 (2020), 036, 34 pages [ abs   pdf ]
Duality for Knizhnik-Zamolodchikov and Dynamical Operators
Vitaly Tarasov and Filipp Uvarov
SIGMA 16 (2020), 035, 10 pages [ abs   pdf ]
Breathing Modes, Quartic Nonlinearities and Effective Resonant Systems
Oleg Evnin
SIGMA 16 (2020), 034, 14 pages [ abs   pdf ]
Nonnegative Scalar Curvature and Area Decreasing Maps
Weiping Zhang
SIGMA 16 (2020), 033,   7 pages [ abs   pdf ]
Global Mirrors and Discrepant Transformations for Toric Deligne-Mumford Stacks
Hiroshi Iritani
SIGMA 16 (2020), 032, 111 pages [ abs   pdf ]
Permutation-Equivariant Quantum K-Theory X. Quantum Hirzebruch-Riemann-Roch in Genus 0
Alexander Givental
SIGMA 16 (2020), 031, 16 pages [ abs   pdf ]
NNSC-Cobordism of Bartnik Data in High Dimensions
Xue Hu and Yuguang Shi
SIGMA 16 (2020), 030,   5 pages [ abs   pdf ]
Non-Abelian Hodge Theory and Related Topics
Pengfei Huang
SIGMA 16 (2020), 029, 34 pages [ abs   pdf ]
Exponents Associated with $Y$-Systems and their Relationship with $q$-Series
Yuma Mizuno
SIGMA 16 (2020), 028, 42 pages [ abs   pdf ]
Bach Flow on Homogeneous Products
Dylan Helliwel
SIGMA 16 (2020), 027, 35 pages [ abs   pdf ]
Virtual Classes for the Working Mathematician
Luca Battistella, Francesca Carocci and Cristina Manolache
SIGMA 16 (2020), 026, 38 pages [ abs   pdf ]
Presentations of Cluster Modular Groups and Generation by Cluster Dehn Twists
Tsukasa Ishibashi
SIGMA 16 (2020), 025, 22 pages [ abs   pdf ]
Horospherical Cauchy Transform on Some Pseudo-Hyperbolic Spaces
Simon Gindikin
SIGMA 16 (2020), 024, 10 pages [ abs   pdf ]
On the 80th Birthday of Dmitry Borisovich Fuchs
Alice Fialowski, Ekaterina Fuchs, Elena Fuchs, Boris Khesin, Alexandre Kirillov, Fedor Malikov, Valentin Ovsienko, Alexei Sossinsky and Serge Tabachnikov
SIGMA 16 (2020), 023, 17 pages [ abs   pdf ]
Counting Periodic Trajectories of Finsler Billiards
Pavle V.M. Blagojević, Michael Harrison, Serge Tabachnikov and Günter M. Ziegler
SIGMA 16 (2020), 022, 33 pages [ abs   pdf ]
Collapsed Ricci Limit Spaces as Non-Collapsed RCD Spaces
Shouhei Honda
SIGMA 16 (2020), 021, 10 pages [ abs   pdf ]
Geometric Approach to Quantum Theory
Albert Schwarz
SIGMA 16 (2020), 020,   3 pages [ abs   pdf ]
A Faithful Braid Group Action on the Stable Category of Tricomplexes
Mikhail Khovanov and You Qi
SIGMA 16 (2020), 019, 32 pages [ abs   pdf ]
Finite-Dimensional Irreducible Modules of the Racah Algebra at Characteristic Zero
Hau-Wen Huang and Sarah Bockting-Conrad
SIGMA 16 (2020), 018, 17 pages [ abs   pdf ]
Legendrian DGA Representations and the Colored Kauffman Polynomial
Justin Murray and Dan Rutherford
SIGMA 16 (2020), 017, 33 pages [ abs   pdf ]
Intersections of Hypersurfaces and Ring of Conditions of a Spherical Homogeneous Space
Kiumars Kaveh and Askold G. Khovanskii
SIGMA 16 (2020), 016, 12 pages [ abs   pdf ]
Classical Superintegrable Systems in a Magnetic Field that Separate in Cartesian Coordinates
Antonella Marchesiello and Libor Šnobl
SIGMA 16 (2020), 015, 35 pages [ abs   pdf ]
Short Star-Products for Filtered Quantizations, I
Pavel Etingof and Douglas Stryker
SIGMA 16 (2020), 014, 28 pages [ abs   pdf ]
Cluster Structures and Subfans in Scattering Diagrams
Yan Zhou
SIGMA 16 (2020), 013, 35 pages [ abs   pdf ]
Quasi-Isometric Bounded Generation by ${\mathbb Q}$-Rank-One Subgroups
Dave Witte Morris
SIGMA 16 (2020), 012, 17 pages [ abs   pdf ]
On Closed Finite Gap Curves in Spaceforms I
Sebastian Klein and Martin Kilian
SIGMA 16 (2020), 011, 29 pages [ abs   pdf ]
Singular Nonsymmetric Macdonald Polynomials and Quasistaircases
Laura Colmenarejo and Charles F. Dunkl
SIGMA 16 (2020), 010, 27 pages [ abs   pdf ]
New Examples of Irreducible Local Diffusion of Hyperbolic PDE's
Victor A. Vassiliev
SIGMA 16 (2020), 009, 21 pages [ abs   pdf ]
On the Relationship between Classical and Deformed Hopf Fibrations
Tomasz Brzeziński, James Gaunt and Alexander Schenkel
SIGMA 16 (2020), 008, 29 pages [ abs   pdf ]
Some Consequences of Categorification
Dylan Rupel and Salvatore Stella
SIGMA 16 (2020), 007,   8 pages [ abs   pdf ]
Analytic Classification of Families of Linear Differential Systems Unfolding a Resonant Irregular Singularity
Martin Klimeš
SIGMA 16 (2020), 006, 46 pages [ abs   pdf ]
A Constraint on Chern Classes of Strictly Pseudoconvex CR Manifolds
Yuya Takeuchi
SIGMA 16 (2020), 005,   5 pages [ abs   pdf ]
Flat Metrics with a Prescribed Derived Coframing
Robert L. Bryant and Jeanne N. Clelland
SIGMA 16 (2020), 004, 23 pages [ abs   pdf ]
On Complex Gamma-Function Integrals
Sergey É. Derkachov and Alexander N. Manashov
SIGMA 16 (2020), 003, 20 pages [ abs   pdf ]
The Schwarz-Voronov Embedding of ${\mathbb Z}_{2}^{n}$-Manifolds
Andrew James Bruce, Eduardo Ibarguengoytia and Norbert Poncin
SIGMA 16 (2020), 002, 47 pages [ abs   pdf ]
Aspects of Hecke Symmetry: Anomalies, Curves, and Chazy Equations
Sujay K. Ashok, Dileep P. Jatkar and Madhusudhan Raman
SIGMA 16 (2020), 001, 26 pages [ abs   pdf ]

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