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- catalog contributor b11613062.
- catalog created "c2000.".
- catalog date "2000".
- catalog date "c2000.".
- catalog dateCopyrighted "c2000.".
- catalog description "Ch. 1. Geometrical Background -- 1.1. Smooth Manifolds and Maps -- 1.2. Matrix Lie Groups -- 1.3. Principal Bundles -- 1.4. Connections and Curvature -- 1.5. Associated Bundles and Matter Fields -- Ch. 2. Physical Motivation -- 2.1. General Framework For Classical Gauge Theories -- 2.2. Electromagnetic Fields -- 2.3. Spin Zero Electrodynamics -- 2.4. Spin One-Half Electrodynamics -- 2.5. SU (2)-Yang-Mills-Higgs Theory on R[Superscript n] -- Ch. 3. Frame Bundles and Spacetimes -- 3.1. Partitions of Unity, Riemannian Metrics and Connections -- 3.2. Continuous Versus Smooth -- 3.3. Frame Bundles -- 3.4. Minkowski Spacetime -- 3.5. Spacetime Manifolds and Spinor Structures -- Ch. 4. Differential Forms and Integration -- 4.1. Multilinear Alegbra -- 4.2. Vector-Valued Forms -- 4.3. Differential Forms -- 4.4. The de Rham Complex -- 4.5. Tensorial Forms -- 4.6. Integration on Manifolds -- 4.7. Stokes' Theorem -- Ch. 5. de Rham Cohomology -- 5.1. The de Rham Cohomology Groups -- 5.2. Induced Homomorphisms -- 5.3. Cochain Complexes and Their Cohomology -- 5.4. The Mayer- Vietoris Sequence -- 5.5. The Cohomology of Compact, Orientable Manifolds -- 5.6. The Brouwer Degree -- 5.7. The Hopf Invariant -- Ch. 6. Characteristic Classes -- 6.1. Motivation -- 6.2. Algebraic Preliminaries -- 6.3. The Chern-Weil Homomorphism -- 6.4. Chern Numbers -- 6.5. Z[Subscript 2]-Cech Cohomology for Smooth Manifolds -- Appendix. Seiberg-Witten Monopoles on R[Superscript 4].".
- catalog description "Includes bibliographical references and index.".
- catalog extent "xiii, 443 p. ;".
- catalog identifier "0387989471 (hard cover : alk. paper)".
- catalog isPartOf "Applied mathematical sciences (Springer-Verlag New York Inc.) ; v. 141.".
- catalog isPartOf "Applied mathematical sciences ; 141".
- catalog issued "2000".
- catalog issued "c2000.".
- catalog language "eng".
- catalog publisher "New York : Springer,".
- catalog subject "510 s 530.15/4 21".
- catalog subject "Gauge fields (Physics)".
- catalog subject "Geometry.".
- catalog subject "Mathematical physics.".
- catalog subject "QA1 .A647 vol. 141 QC20.7.T65".
- catalog subject "Topology.".
- catalog tableOfContents "Ch. 1. Geometrical Background -- 1.1. Smooth Manifolds and Maps -- 1.2. Matrix Lie Groups -- 1.3. Principal Bundles -- 1.4. Connections and Curvature -- 1.5. Associated Bundles and Matter Fields -- Ch. 2. Physical Motivation -- 2.1. General Framework For Classical Gauge Theories -- 2.2. Electromagnetic Fields -- 2.3. Spin Zero Electrodynamics -- 2.4. Spin One-Half Electrodynamics -- 2.5. SU (2)-Yang-Mills-Higgs Theory on R[Superscript n] -- Ch. 3. Frame Bundles and Spacetimes -- 3.1. Partitions of Unity, Riemannian Metrics and Connections -- 3.2. Continuous Versus Smooth -- 3.3. Frame Bundles -- 3.4. Minkowski Spacetime -- 3.5. Spacetime Manifolds and Spinor Structures -- Ch. 4. Differential Forms and Integration -- 4.1. Multilinear Alegbra -- 4.2. Vector-Valued Forms -- 4.3. Differential Forms -- 4.4. The de Rham Complex -- 4.5. Tensorial Forms -- 4.6. Integration on Manifolds -- 4.7. Stokes' Theorem -- Ch. 5. de Rham Cohomology -- 5.1. The de Rham Cohomology Groups -- 5.2. Induced Homomorphisms -- 5.3. Cochain Complexes and Their Cohomology -- 5.4. The Mayer- Vietoris Sequence -- 5.5. The Cohomology of Compact, Orientable Manifolds -- 5.6. The Brouwer Degree -- 5.7. The Hopf Invariant -- Ch. 6. Characteristic Classes -- 6.1. Motivation -- 6.2. Algebraic Preliminaries -- 6.3. The Chern-Weil Homomorphism -- 6.4. Chern Numbers -- 6.5. Z[Subscript 2]-Cech Cohomology for Smooth Manifolds -- Appendix. Seiberg-Witten Monopoles on R[Superscript 4].".
- catalog title "Topology, geometry, and gauge fields : interactions / Gregory L. Naber.".
- catalog type "text".