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Geodesic


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Symmetry, integrability and geometry: methods and applications
Tome 20 (2024)
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A Note on the Equidistribution of 3-Colour Partitions
Joshua Males

Computation of Infinitesimals for a Group Action on a Multispace of One Independent Variable
Peter Rock

Optimal Transport and Generalized Ricci Flow
Eva Kopfer ; Jeffrey Streets

Recurrence Coefficients for Orthogonal Polynomials with a Logarithmic Weight Function
Percy Deift ; Mateusz Piorkowski

Computing the Tracy–Widom Distribution for Arbitrary $\beta>0$
Thomas Trogdon ; Yiting Zhang

Moving Frames: Difference and Differential-Difference Lagrangians
Lewis C. White ; Peter E. Hydon

A General Dixmier Trace Formula for the Density of States on Open Manifolds
Eva-Maria Hekkelman ; Edward McDonald

Differential Equations for Approximate Solutions of Painlevé Equations: Application to the Algebraic Solutions of the Painlevé-III $(\mathrm{D}_7)$ Equation
Robert J. Buckingham ; Peter D. Miller

Taking Music Seriously: on the Dynamics of `Mathemusical' Research with a Focus on Hexachordal Theorems
Moreno Andreatta ; Corentin Guichaoua ; Nicolas Juillet

A Pseudodifferential Analytic Perspective on Getzler's Rescaling
Georges Habib ; Sylvie Paycha

Twisted Sectors for Lagrangian Floer Theory on Symplectic Orbifolds
Bohui Chen ; Kaoru Ono ; Bai-Ling Wang

$\mathfrak{gl}(3)$ Polynomial Integrable System: Different Faces of the $3$-Body/${\mathcal A}_2$ Elliptic Calogero Model
Alexander V. Turbiner ; Juan Carlos Lopez Vieyra ; Miguel A. Guadarrama-Ayala

Lepage Equivalents and the Variational Bicomplex
David Saunders

A Note about Isotopy and Concordance of Positive Scalar Curvature Metrics on Compact Manifolds with Boundary
Alessandro Carlotto ; Chao Li

Superposition Formulae for the Geometric Bäcklund Transformations of the Hyperbolic and Elliptic Sine-Gordon and Sinh-Gordon Equations
Filipe Kelmer ; Keti Tenenblat

Color-Dressed Generalized Biadjoint Scalar Amplitudes: Local Planarity
Freddy Cachazo ; Nick Early ; Yong Zhang

On Pre-Novikov Algebras and Derived Zinbiel Variety
Pavel Kolesnikov ; Farukh Mashurov ; Bauyrzhan Sartayev

Quantum Modular $\widehat Z^G$-Invariants
Miranda C. N. Cheng ; Ioana Coman ; Davide Passaro ; Gabriele Sgroi

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 ; Andrei Prokhorov

The Clifford Algebra Bundle on Loop Space
Matthias Ludewig

On the Hill Discriminant of Lamé's Differential Equation
Hans Volkmer

Boundary Value Problems for Dirac Operators on Graphs
Alberto Richtsfeld

Lerch $\Phi$ Asymptotics
Adri B. Olde Daalhuis

Hodge Diamonds of the Landau–Ginzburg Orbifolds
Alexey Basalaev ; Andrei Ionov

Compatible $E$-Differential Forms on Lie Algebroids over (Pre-)Multisymplectic Manifolds
Noriaki Ikeda

Resurgence in the Transition Region: The Incomplete Gamma Function
Gergő Nemes

mKdV-Related Flows for Legendrian Curves in the Pseudohermitian 3-Sphere
Annalisa Calini ; Thomas Ivey ; Emilio Musso

Resurgent Structure of the Topological String and the First Painlevé Equation
Kohei Iwaki ; Marcos Mariño

Reflection Vectors and Quantum Cohomology of Blowups
Todor Milanov ; Xiaokun Xia

Locally Homogeneous Holomorphic Geometric Structures on Projective Varieties
Indranil Biswas ; Benjamin McKay

Transformations of Currents in Sigma-Models with Target Space Supersymmetry
Vinicius Bernardes ; Andrei Mikhailov ; Eggon Viana

Kähler–Yang–Mills Equations and Vortices
Oscar Garcia-Prada

A Laurent Phenomenon for the Cayley Plane
Oliver Daisey ; Tom Ducat

A Weierstrass Representation Formula for Discrete Harmonic Surfaces
Motoko Kotani ; Hisashi Naito

Scalar Curvature Rigidity of Warped Product Metrics
Christian Bär ; Simon Brendle ; Bernhard Hanke ; Yipeng Wang

Categories of Lagrangian Correspondences in Super Hilbert Spaces and Fermionic Functorial Field Theory
Matthias Ludewig

Compatible Poisson Brackets Associated with Elliptic Curves in $G(2,5)$
Nikita Markaryan ; Alexander Polishchuk

Product Inequalities for $\mathbb T^\rtimes$-Stabilized Scalar Curvature
Misha Gromov

Entropy for Monge–Ampère Measures in the Prescribed Singularities Setting
Eleonora Di Nezza ; Stefano Trapani ; Antonio Trusiani

Co-Axial Metrics on the Sphere and Algebraic Numbers
Zhijie Chen ; Chang-Shou Lin ; Yifan Yang

Skew Symplectic and Orthogonal Schur Functions
Naihuan Jing ; Zhijun Li ; Danxia Wang

Asymptotic Expansions of Finite Hankel Transforms and the Surjectivity of Convolution Operators
Yasunori Okada ; Hideshi Yamane

Some Generalizations of Mirzakhani's Recursion and Masur–Veech Volumes via Topological Recursions
Hiroyuki Fuji ; Masahide Manabe

SICs and the Triangle Group $(3,3,3)$
Danylo Yakymenko

The Cobb–Douglas Production Function and the Old Bowley's Law
Roman G. Smirnov ; Kunpeng Wang

Intertwinings for Continuum Particle Systems: an Algebraic Approach
Simone Floreani ; Sabine Jansen ; Stefan Wagner

Unrestricted Quantum Moduli Algebras, II: Noetherianity and Simple Fraction Rings at Roots of 1
Stéphane Baseilhac ; Philippe Roche

Oriented Closed Polyhedral Maps and the Kitaev Model
Kornél Szlachányi

Generalized Yang Poisson Models on Canonical Phase Space
Tea Martinić Bilać ; Stjepan Meljanac ; Salvatore Mignemi

A Note on BKP for the Kontsevich Matrix Model with Arbitrary Potential
Gaëtan Borot ; Raimar Wulkenhaar

On the Structure of Set-Theoretic Polygon Equations
Folkert Müller-Hoissen

Stationarity and Fredholm Theory in Subextremal Kerr–de Sitter Spacetimes
Oliver Petersen ; András Vasy

Infinitesimal Modular Group: $q$-Deformed $\mathfrak{sl}_2$ and Witt Algebra
Alexander Thomas

Fay Identities of Pfaffian Type for Hyperelliptic Curves
Gaëtan Borot ; Thomas Buc-D”Alche

Knots, Perturbative Series and Quantum Modularity
Stavros Garoufalidis ; Don Zagier

Talbot Effect for the Manakov System on the Torus
Zihan Yin ; Jing Kang ; Xiaochuan Liu ; Changzheng Qu

Smooth Solutions of the tt* Equation: A Numerical Aided Case Study
Yuqi Li

Dynamic Feedback Linearization of Control Systems with Symmetry
Jeanne N. Clelland ; Taylor J. Klotz ; Peter J. Vassiliou

A New (But Very Nearly Old) Proof of the Rogers–Ramanujan Identities
Hjalmar Rosengren

Some Differential Equations for the Riemann $\theta$-Function on Jacobians
Robert Wilms

Reduction of $L_\infty$-Algebras of Observables on Multisymplectic Manifolds
Casey Blacker ; Antonio Michele Miti ; Leonid Ryvkin

Strong Szegő Limit Theorems for Multi-Bordered, Framed, and Multi-Framed Toeplitz Determinants
Roozbeh Gharakhloo

On Some Special Cases of Gaiotto's Positivity Conjecture
Pavel Etingof

Identity between Restricted Cauchy Sums for the $q$-Whittaker and Skew Schur Polynomials
Takashi Imamura ; Matteo Mucciconi ; Tomohiro Sasamoto

Adiabatic Limit, Theta Function, and Geometric Quantization
Takahiko Yoshida

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

The Laplace–Beltrami Operator on the Surface of the Ellipsoid
Hans Volkmer

Lie Admissible Triple Algebras: The Connection Algebra of Symmetric Spaces
Hans Z. Munthe-Kaas ; Jonatan Stava

Torsion Obstructions to Positive Scalar Curvature
Misha Gromov ; Bernhard Hanke

Soliton Condensates for the Focusing Nonlinear Schrödinger Equation: a Non-Bound State Case
Alexander Tovbis ; Fudong Wang

Tracking Control for $(x,u)$-Flat Systems by Quasi-Static Feedback of Classical States
Conrad Gstöttner ; Bernd Kolar ; Markus Schöberl

Tropical Mirror
Andrey Losev ; Vyacheslav Lysov

Resurgence of Refined Topological Strings and Dual Partition Functions
Sergey Alexandrov ; Marcos Mariño ; Boris Pioline

Asymptotics of the Humbert Function $\Psi_1$ for Two Large Arguments
Peng-Cheng Hang ; Min-Jie Luo

McMahon-Type Asymptotic Expansions of the Zeros of the Coulomb Wave Functions
Amparo Gil ; Javier Segura ; Nico M. Temme

A Riemann–Hilbert Approach to Skew-Orthogonal Polynomials of Symplectic Type
Alex Little

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 ; Yasuhiko Yamada

Symmetries in Riemann–Cartan Geometries
David D. Mcnutt ; Alan A. Coley ; Robert J. van den Hoogen

New Evaluations of Inverse Binomial Series via Cyclotomic Multiple Zeta Values
John M. Campbell ; M. Lawrence Glasser ; Yajun Zhou

On $F$-Polynomials for Generalized Quantum Cluster Algebras and Gupta's Formula
Changjian Fu ; Liangang Peng ; Huihui Ye

Multidimensional Nonhomogeneous Quasi-Linear Systems and Their Hamiltonian Structure
Xin Hu ; Matteo Casati

First Cohomology with Trivial Coefficients of All Unitary Easy Quantum Group Duals
Alexander Mang

Kernel Function, $q$-Integral Transformation and $q$-Heun Equations
Kouichi Takemura

Compact Locally Conformally Pseudo-Kähler Manifolds with Essential Conformal Transformations
Vicente Cortés ; Thomas Leistner

The Racah Algebra of Rank 2: Properties, Symmetries and Representation
Sarah Post ; Sébastien Bertrand

On a Transformation of Triple $q$-Series and Rogers–Hecke Type Series
Zhi-Guo Liu

Algebraic Complete Integrability of the $a_4^{(2)}$ Toda Lattice
Bruce Lionnel Lietap Ndi ; Djagwa Dehainsala ; Joseph Dongho

On the Picard Group of the Moduli Space of Curves via $r$-Spin Structures
Danil Gubarevich

Proof of Two Multivariate $q$-Binomial Sums Arising in Gromov–Witten Theory
Christian Krattenthaler

Moving NS Punctures on Super Spheres
Dimitri P. Skliros

Integrable Semi-Discretization for a Modified Camassa–Holm Equation with Cubic Nonlinearity
Bao-Feng Feng ; Heng-Chun Hu ; Han-Han Sheng ; Wei Yin ; Guo-Fu Yu

Extension Theory and Fermionic Strongly Fusion 2-Categories (with an Appendix by Thibault Didier Décoppet and Theo Johnson-Freyd)
Thibault Didier Décoppet

Convolution Algebras of Double Groupoids and Strict 2-Groups
Angel Román ; Joel Villatoro

Complete Asymptotic Expansions for the Normalizing Constants of High-Dimensional Matrix Bingham and Matrix Langevin Distributions
Armine Bagyan ; Donald Richards

Mirrors to Del Pezzo Surfaces and the Classification of $T$-Polygons
Wendelin Lutz

Scale Invariant Scattering and Bernoulli Numbers
Thomas L. Curtright

Combinatorial Interpretations of Cranks of Overpartitions and Partitions without Repeated Odd Parts
Frank G. Garvan ; Rishabh Sarma

Bilinear Expansions of KP Multipair Correlators in BKP Correlators
Aleksandr Yu. Orlov

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 ; Yehao Zhou

Lagrangian Multiform for Cyclotomic Gaudin Models
Vincent Caudrelier ; Anup Anand Singh ; Benoît Vicedo

The Wehrheim–Woodward Category of Linear Canonical Relations between $G$-Spaces
Alan Weinstein

The Evaluation of Graphs on Surfaces for State-Sum Models with Defects
Julian Farnsteiner ; Christoph Schweigert

Rogers–Ramanujan Type Identities Involving Double Sums
Dandan Chen ; Siyu Yin

Geometry of Integrable Systems Related to the Restricted Grassmannian
Tomasz Goliński ; Alice Barbora Tumpach

$R$-Matrix Presentation of Quantum Affine Superalgebra for Type $\mathfrak{osp}(2m+1|2n)$
Xianghua Wu ; Hongda Lin ; Honglian Zhang

Global Magni4icence, or: 4G Networks
Nikita Nekrasov ; Nicolò Piazzalunga

The Algebraic and Geometric Classification of Compatible Pre-Lie Algebras
Hani Abdelwahab ; Ivan Kaygorodov ; Abdenacer Makhlouf

On Relative Tractor Bundles
Andreas Čap ; Zhangwen Guo ; Michal Andrzej Wasilewicz

Lagrangian Surplusection Phenomena
Georgios Dimitroglou Rizell ; Jonathan David Evans

The Modified Toda Hierarchy
Wenjuan Rui ; Wenchuang Guan ; Yi Yang ; Jipeng Cheng

Harmonic Metrics for Higgs Bundles of Rank 3in the Hitchin Section
Hitoshi Fujioka

Tau Functions from Joyce Structures
Tom Bridgeland

Solutions of Tetrahedron Equation from Quantum Cluster Algebra Associatedwith Symmetric Butterfly Quiver
Rei Inoue ; Atsuo Kuniba ; Xiaoyue Sun ; Yuji Terashima ; Junya Yagi

Real Forms of Holomorphic Hamiltonian Systems
Philip Arathoon ; Marine Fontaine

On the Higher-Rank Askey–Wilson Algebras
Wanxia Wang ; Shilin Yang
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