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The Topology of Fibre Bundles. (PMS-14)

https://doi.org/10.1515/9781400883875
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Topological investigation of the fractionally quantized Hall conductivity
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Einstein‐Maxwell Equations: Gauge Formulation and Solutions for Radiating Bodies
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Introduction to the fiber-bundle approach to gauge theories
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Relativity principles and fibre bundles
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Topological Theory of Defects
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Classic Groups: Clifford Algebras, Projective Quadrics, and Spin Groups
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Real Conformal Spin Structures
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Pseudounitary Conformal Spin Structures
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Principal Bundles
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The Geometry of the Symplectic Group, the Maslov Index
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Characteristic Classes and Characteristic Forms
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Division Algebras and Topology
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On Dirichlet series and abelian varieties attached to automorphic forms
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Classification of Oriented Sphere Bundles over a 4-Complex
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Differential Geometry of Fiber Bundles
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On the Kinematic Formula in the Euclidean Space of N Dimensions
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Lectures on K(X)
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Lattice Gauge Fields and Topology
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Self-Orthogonal Codes and the Topology of Spinor Groups
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Exercises
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Basic Concepts
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Linear Systems for 2D Poincaré Supergravities
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Information Flows Intrinsic to the Stability of Economic Equilibrium
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Nonholonomic Control and Gauge Theory
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Structures On Differentiable Manifolds
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On the Construction of Quantized Gauge Fields
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Gravity as an SO(3,2) Gauge Theory
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Cup Products in Projective Spaces and Applications of Cup Products
inferred← citeshttps://doi.org/10.1007/978-1-4684-9322-1_1openalex-snapshot
Introduction
inferred← citeshttps://doi.org/10.1007/978-1-4684-9415-0_8openalex-snapshot
Zur Berechnung von Yang-Mills Potentialen durch holomorphe Vektorbündel
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An Introduction to Anomalies
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Magnetic Charges
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Quadratic Spherical Maps
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Hurwitz Problem
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N
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P
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H
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I
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K
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L
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M
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F
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G
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A
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C
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Cup Products in Projective Spaces and Applications of Cup Products
inferred← citeshttps://doi.org/10.1007/978-3-030-25883-2_4openalex-snapshot
Intersection of Quadrics in ℂ n $$\mathbb {C}^n$$ , Moment-Angle Manifolds, Complex Manifolds and Convex Polytopes
inferred← citeshttps://doi.org/10.1007/978-3-030-30294-8_1openalex-snapshot
Differentials on an Algebra
inferred← citeshttps://doi.org/10.1007/978-3-030-30294-8_2openalex-snapshot
Hopf Algebras and Their Bicovariant Calculi
inferred← citeshttps://doi.org/10.1007/978-3-030-30294-8_3openalex-snapshot
Vector Bundles and Connections
inferred← citeshttps://doi.org/10.1007/978-3-030-30294-8_4openalex-snapshot
Curvature, Cohomology and Sheaves
inferred← citeshttps://doi.org/10.1007/978-3-030-30294-8_5openalex-snapshot
Quantum Principal Bundles and Framings
inferred← citeshttps://doi.org/10.1007/978-3-030-30294-8_6openalex-snapshot
Vector Fields and Differential Operators
inferred← citeshttps://doi.org/10.1007/978-3-030-30294-8_7openalex-snapshot
Quantum Complex Structures
inferred← citeshttps://doi.org/10.1007/978-3-030-30294-8_8openalex-snapshot
Quantum Riemannian Structures
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Quantum Spacetime
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Topological Interpretation of Interactive Computation
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A Coordinate-Independent Setup for GSPT
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Towards Population-Based Structural Health Monitoring, Part VI: Structures as Geometry
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Integral Representations of Solutions of Euler Type
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Quaternion Equivariant Capsule Networks for 3D Point Clouds
inferred← citeshttps://doi.org/10.1007/978-3-030-66723-8_30openalex-snapshot
Visualizing Local Minima in Multi-robot Motion Planning Using Multilevel Morse Theory
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Equivariant Background
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Lopatinskiı–Šapiro Boundary Conditions
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Milnor Number and Chern Classes for Singular Varieties: An Introduction
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Residues and Hyperfunctions
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Vector Fields, Differential Forms, and Derivatives
inferred← citeshttps://doi.org/10.1007/978-3-031-14641-1_9openalex-snapshot
Kinematics of Fluids
inferred← citeshttps://doi.org/10.1007/978-3-031-30133-9_3openalex-snapshot
Differential Topology
inferred← citeshttps://doi.org/10.1007/978-3-031-31925-9_5openalex-snapshot
Indices of Vector Fields and 1-Forms
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Conjugate Plateau Constructions in Product Spaces
inferred← citeshttps://doi.org/10.1007/978-3-031-71616-4_4openalex-snapshot
Singular and CW-Homology with Local Coefficients
inferred← citeshttps://doi.org/10.1007/978-3-031-71616-4_5openalex-snapshot
Twisted Morse Cohomology and Lichnerowicz Cohomology
inferred← citeshttps://doi.org/10.1007/978-3-031-71616-4_6openalex-snapshot
Applications and Computations
inferred← citeshttps://doi.org/10.1007/978-3-031-77050-0_5openalex-snapshot
On Slice Regular Bergman Spaces and Fiber Bundles
inferred← citeshttps://doi.org/10.1007/978-3-031-99212-4_11openalex-snapshot
From Lorentzian Manifolds to Signature-Type Change with Singular Transverse Metrics
inferred← citeshttps://doi.org/10.1007/978-3-0348-8191-3_4openalex-snapshot
On the Factorization of Meromorphic Mellin Symbols
inferred← citeshttps://doi.org/10.1007/978-3-0348-8508-9_5openalex-snapshot
Connexions linéaires, classes de Chern, théorème de Riemann-Roch
inferred← citeshttps://doi.org/10.1007/978-3-319-06722-3_10openalex-snapshot
A Planar Skyrme-Like Model
inferred← citeshttps://doi.org/10.1007/978-3-319-06920-3_1openalex-snapshot
Topological Constructs
inferred← citeshttps://doi.org/10.1007/978-3-319-11517-7_1openalex-snapshot
Gottlieb Groups of Spheres
inferred← citeshttps://doi.org/10.1007/978-3-319-11517-7_2openalex-snapshot
Gottlieb and Whitehead Center Groups of Projective Spaces
inferred← citeshttps://doi.org/10.1007/978-3-319-20735-3_1openalex-snapshot
Differential Calculus
inferred← citeshttps://doi.org/10.1007/978-3-319-20735-3_2openalex-snapshot
Manifolds: The Basics
inferred← citeshttps://doi.org/10.1007/978-3-319-20735-3_3openalex-snapshot
From Local to Global
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Lie Groups
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Differential Forms
inferred← citeshttps://doi.org/10.1007/978-3-319-20735-3_6openalex-snapshot
Integration and Applications
inferred← citeshttps://doi.org/10.1007/978-3-319-20735-3_7openalex-snapshot
Cohomology and Degree Theory
inferred← citeshttps://doi.org/10.1007/978-3-319-20735-3_8openalex-snapshot
The Euler-Poincaré Characteristic and the Gauss-Bonnet Theorem
inferred← citeshttps://doi.org/10.1007/978-3-319-23488-5_1openalex-snapshot
Chapter 1: Homotopy
inferred← citeshttps://doi.org/10.1007/978-3-319-23488-5_2openalex-snapshot
Chapter 2: Homology
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Chapter 3: Spectral Sequences of Fibrations
inferred← citeshttps://doi.org/10.1007/978-3-319-23488-5_4openalex-snapshot
Chapter 4: Cohomology Operations
inferred← citeshttps://doi.org/10.1007/978-3-319-23488-5_5openalex-snapshot
Chapter 5: The Adams Spectral Sequence
inferred← citeshttps://doi.org/10.1007/978-3-319-23488-5_6openalex-snapshot
Chapter 6: K-Theory and Other Extraordinary Cohomology Theories
inferred← citeshttps://doi.org/10.1007/978-3-319-29734-7_2openalex-snapshot
Geometry of Gauge Fields
inferred← citeshttps://doi.org/10.1007/978-3-319-31299-6_1openalex-snapshot
65 Years in and Around Relativity
inferred← citeshttps://doi.org/10.1007/978-3-319-65427-0_3openalex-snapshot
Principal Fiber Bundles in Non-commutative Geometry
inferred← citeshttps://doi.org/10.1007/978-3-319-68439-0_1openalex-snapshot
Chapter 1 Lie Groups and Lie Algebras: Basic Concepts
inferred← citeshttps://doi.org/10.1007/978-3-319-68439-0_10openalex-snapshot
Appendix A: Background on Differentiable Manifolds
inferred← citeshttps://doi.org/10.1007/978-3-319-68439-0_11openalex-snapshot
Appendix B: Background on Special Relativity and Quantum Field Theory
inferred← citeshttps://doi.org/10.1007/978-3-319-68439-0_2openalex-snapshot
Chapter 2 Lie Groups and Lie Algebras: Representations and Structure Theory
inferred← citeshttps://doi.org/10.1007/978-3-319-68439-0_3openalex-snapshot
Chapter 3 Group Actions
inferred← citeshttps://doi.org/10.1007/978-3-319-68439-0_4openalex-snapshot
Chapter 4 Fibre Bundles
inferred← citeshttps://doi.org/10.1007/978-3-319-68439-0_5openalex-snapshot
Chapter 5 Connections and Curvature
inferred← citeshttps://doi.org/10.1007/978-3-319-68439-0_6openalex-snapshot
Chapter 6 Spinors
inferred← citeshttps://doi.org/10.1007/978-3-319-68439-0_7openalex-snapshot
Chapter 7 The Classical Lagrangians of Gauge Theories
inferred← citeshttps://doi.org/10.1007/978-3-319-68439-0_8openalex-snapshot
Chapter 8 The Higgs Mechanism and the Standard Model
inferred← citeshttps://doi.org/10.1007/978-3-319-68439-0_9openalex-snapshot
Chapter 9 Modern Developments and Topics Beyond the Standard Model
inferred← citeshttps://doi.org/10.1007/978-3-319-71428-8_2openalex-snapshot
Blow-Up, Homotopy and Existence for Periodic Solutions of the Planar Three-Body Problem
inferred← citeshttps://doi.org/10.1007/978-3-319-72478-2_13openalex-snapshot
Topological Foundations of Physics
inferred← citeshttps://doi.org/10.1007/978-3-319-99028-6_19openalex-snapshot
The Masterpieces of John Forbes Nash Jr.
inferred← citeshttps://doi.org/10.1007/978-3-322-80265-1_16openalex-snapshot
Algebraische Topologie
inferred← citeshttps://doi.org/10.1007/978-3-322-84243-5_8openalex-snapshot
Fibre Bundles
inferred← citeshttps://doi.org/10.1007/978-3-540-31532-2_2openalex-snapshot
Topological Concepts in Gauge Theories
inferred← citeshttps://doi.org/10.1007/978-3-540-74956-1_11openalex-snapshot
Basic Characteristic Classes
inferred← citeshttps://doi.org/10.1007/978-3-540-74956-1_8openalex-snapshot
The Milnor Construction: Homotopy Classification of Principal Bundles
inferred← citeshttps://doi.org/10.1007/978-3-642-10895-2_2openalex-snapshot
Pseudo-Groupes Infinitesimaux
inferred← citeshttps://doi.org/10.1007/978-3-642-10922-5_1openalex-snapshot
Cours sur les Variétés Complexes
inferred← citeshttps://doi.org/10.1007/978-3-642-10988-1_2openalex-snapshot
Varietes Feuilletees
inferred← citeshttps://doi.org/10.1007/978-3-642-10998-0_4openalex-snapshot
Wiener Integration on Certain Manifolds
inferred← citeshttps://doi.org/10.1007/978-3-642-11048-1_4openalex-snapshot
Characteristic classes and differentiable manifolds
inferred← citeshttps://doi.org/10.1007/978-3-642-11048-1_5openalex-snapshot
Chern Classes and Complex Manifolds
inferred← citeshttps://doi.org/10.1007/978-3-642-11102-0_3openalex-snapshot
Differential Cohomology
inferred← citeshttps://doi.org/10.1007/978-3-642-11114-3_2openalex-snapshot
Some Aspects of Invariant Theory in Differential Geometry
inferred← citeshttps://doi.org/10.1007/978-3-642-25588-5_19openalex-snapshot
Compact Conformally Flat Hypersurfaces
inferred← citeshttps://doi.org/10.1007/978-3-642-37339-8_22openalex-snapshot
A Class of Compact, Complex Manifolds Which are not Algebraic
inferred← citeshttps://doi.org/10.1007/978-3-642-39449-2_21openalex-snapshot
John W. Milnor’s Work on the Classification of Differentiable Manifolds
inferred← citeshttps://doi.org/10.1007/978-3-642-40036-0_64openalex-snapshot
Die Coinzidenz-Cozylden und eine Formel aus der Fasertheorie
inferred← citeshttps://doi.org/10.1007/978-3-642-40036-0_66openalex-snapshot
(gemeinsam mit F. Hirzebruch) Felder von Flächenelementen in 4-Dimensionalen Mannigfaltigkeiten
inferred← citeshttps://doi.org/10.1007/978-3-642-41992-8_17openalex-snapshot
Dynamical and Hamiltonian Formulation of General Relativity
inferred← citeshttps://doi.org/10.1007/978-3-642-46141-5_1openalex-snapshot
Surgery and the Theory of Differentiable Transformation Groups
inferred← citeshttps://doi.org/10.1007/978-3-642-46141-5_3openalex-snapshot
A Survey on Regularity Theorems in Differentiable Compact Transformation Groups
inferred← citeshttps://doi.org/10.1007/978-3-642-49197-9_15openalex-snapshot
Plongements différentiables des variétés orientées de dimension 4 dans R 7
inferred← citeshttps://doi.org/10.1007/978-3-642-56589-2_20openalex-snapshot
Forced Symmetry Breaking and Relative Periodic Orbits
inferred← citeshttps://doi.org/10.1007/978-3-642-56936-4_3openalex-snapshot
Compact Lie Groups
inferred← citeshttps://doi.org/10.1007/978-3-642-57999-8_12openalex-snapshot
Actions of Lie Groups on Low-dimensional Manifolds
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Divisionsalgebren und Topologie
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A Survey of Normalization Techniques Applied to Perturbed Keplerian Systems
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Methods in the Theory of Sheaves and Stein Spaces
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Representation of 3D Rotations
inferred← citeshttps://doi.org/10.1007/978-3-642-85992-2_5openalex-snapshot
On the Geometric Structures of Simple Bodies, a Mathematical Foundation for the Theory of Continuous Distributions of Dislocations
inferred← citeshttps://doi.org/10.1007/978-3-642-95732-1_19openalex-snapshot
Exotic Smoothness on Spacetime
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Divisionsalgebren und Topologie
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Divisionsalgebren und Topologie
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Fourier Integral Operators. II
inferred← citeshttps://doi.org/10.1007/978-3-662-10579-5_1openalex-snapshot
Topology
inferred← citeshttps://doi.org/10.1007/978-3-662-10581-8_3openalex-snapshot
Classical Manifolds
inferred← citeshttps://doi.org/10.1007/978-3-662-12988-3_6openalex-snapshot
Die Spektralsequenz einer Faserung
inferred← citeshttps://doi.org/10.1007/978-3-662-46035-1_17openalex-snapshot
Dynamical and Hamiltonian Formulation of General Relativity
inferred← citeshttps://doi.org/10.1007/978-3-662-49078-5_1openalex-snapshot
Introduction
inferred← citeshttps://doi.org/10.1007/978-3-662-49078-5_4openalex-snapshot
Continuous Mathematics
inferred← citeshttps://doi.org/10.1007/978-3-662-49078-5_9openalex-snapshot
Physical Boundaries
inferred← citeshttps://doi.org/10.1007/978-3-7091-8538-4_3openalex-snapshot
Effects of Topological Charge in Gauge Theories
inferred← citeshttps://doi.org/10.1007/978-3-7091-8598-8_23openalex-snapshot
A New Look at Generalized, Non-Linear σ-Models and Yang-Mills Theory
inferred← citeshttps://doi.org/10.1007/978-81-322-2843-1_14openalex-snapshot
Applications
inferred← citeshttps://doi.org/10.1007/978-81-322-2843-1_16openalex-snapshot
Obstruction Theory
inferred← citeshttps://doi.org/10.1007/978-81-322-2843-1_18openalex-snapshot
A Brief History of Algebraic Topology
inferred← citeshttps://doi.org/10.1007/978-81-322-2843-1_4openalex-snapshot
Covering Spaces
inferred← citeshttps://doi.org/10.1007/978-81-322-2843-1_5openalex-snapshot
Fiber Bundles, Vector Bundles and K-Theory
inferred← citeshttps://doi.org/10.1007/978-81-322-2843-1_7openalex-snapshot
Higher Homotopy Groups
inferred← citeshttps://doi.org/10.1007/978-88-7642-431-1_19openalex-snapshot
Some topological problems on the configuration spaces of Artin and Coxeter groups
inferred← citeshttps://doi.org/10.1007/978-93-86279-07-1_5openalex-snapshot
Topological Defects in Condensed Matter Physics
inferred← citeshttps://doi.org/10.1007/978-94-007-5345-7_11openalex-snapshot
Integrability
inferred← citeshttps://doi.org/10.1007/978-94-009-2399-7_1openalex-snapshot
On the Naturality of Pic, SK0 and SK1
inferred← citeshttps://doi.org/10.1007/978-94-009-5988-0_1openalex-snapshot
I
inferred← citeshttps://doi.org/10.1007/978-94-009-5988-0_3openalex-snapshot
K
inferred← citeshttps://doi.org/10.1007/978-94-009-5991-0_1openalex-snapshot
L
inferred← citeshttps://doi.org/10.1007/978-94-009-5991-0_2openalex-snapshot
M
inferred← citeshttps://doi.org/10.1007/978-94-009-5991-0_3openalex-snapshot
N
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