Geometric Methods in Physics

Chapter 1 Traces of Holomorphic Families of Operators on the Noncommutative Torus and on Hilbert Modules

Chapter 2 r ∞ -Matrices, Triangular L ∞ -Bialgebras and Quantum ∞ Groups

Chapter 3 Normal Forms and Lie Groupoid Theory

Chapter 4 Higher Braces Via Formal (Non)Commutative Geometry

Chapter 5 Conformally Rescaled Noncommutative Geometries

Chapter 6 On Some Quaternionic Coherent States and Wavelets

Chapter 7 Supersymmetric Vector Coherent States for Systems with Zeeman Coupling and Spin-Orbit Interactions

Chapter 8 Energy and Stability of the Pais–Uhlenbeck Oscillator

Chapter 9 Deformation Quantization with Separation of Variables and Gauge Theories

Chapter 10 Physics of Spectral Singularities

Chapter 11 On the Moduli Space of Yang–Mills Fields on $$ \mathbb{R}^4 $$

Chapter 12 On Covariant Poisson Brackets in Field Theory

Chapter 13 Weyl Group Orbit Functions in Image Processing

Chapter 14 Poisson and Fourier Transforms for Tensor Products and an Overalgebra

Chapter 15 Unipotent Flow on $$ \text{SL}_2 \left( {\Bbb Z} \right)\backslash \text{SL}_2 \left( {\mathbb{R}} \right) $$ : From Dynamics to Elementary Number Theory

Chapter 16 Lie Superalgebras of Krichever–Novikov Type

Chapter 17 On n -ary Lie Algebras of Type ( r , l )

Chapter 18 Factorization Method for ( q , h )-Hahn Orthogonal Polynomials

Chapter 19 Examples of Hamiltonian Systems on the Space of Deformed Skew-symmetric Matrices

Chapter 20 Matrix Beta-integrals: An Overview

Chapter 21 Differential Equations on Complex Manifolds

Chapter 22 Asymptotic Properties of Solutions of Neutral Type Difference System with Delays

Chapter 23 Orbits of Darboux Groupoid for Hyperbolic Operators of Order Three

Chapter 24 From Nicolaus Copernicus’ Economic Law up to the Present Day Economic Disasters (Report of a Dilettante)