Holdings: Topology, geometry, and Gauge fields

Topology, geometry, and Gauge fields: interactions

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Bibliographic Details
Main Author:	Naber, Gregory L. 1948- (Author)
Format:	Book
Language:	English
Published:	New York [u.a.] Springer 2000
Series:	Applied mathematical sciences 141
Subjects:	Eichfeld - Topologie - Geometrie Mathematische Physik Gauge fields (Physics) Geometry Mathematical physics Topology Eichtheorie Topologie Mannigfaltigkeit Kohomologie Geometrie Maßtheorie
Online Access:	Inhaltsverzeichnis
Physical Description:	XIII, 443 S. graph. Darst.
ISBN:	0387989471

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MARC


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Record in the Search Index

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adam_text	Contents Preface ix Acknowledgments xiii Chapter 1 Geometrical Background 1 1.1 Smooth Manifolds and Maps 1 1.2 Matrix Lie Groups 13 1.3 Principal Bundles 28 1.4 Connections and Curvature 35 1.5 Associated Bundles and Matter Fields 46 Chapter 2 Physical Motivation 53 2.1 General Framework For Classical Gauge Theories 53 2.2 Electromagnetic Fields 57 2.3 Spin Zero Electrodynamics 71 2.4 Spin One-Half Electrodynamics 84 2.5 S ř7(2)-Yang-Mills-Higgs Theory on Rn 123 2.6 Epilogue 159 Chapter 3 Frame Bundles and Spacetimes 161 3.1 Partitions of Unity, Riemannian Metrics and Connections 161 3.2 Continuous Versus Smooth 168 3.3 Frame Bundles 172 3.4 Minkowski Spacetime 187 3.5 Spacetime Manifolds and Spinor Structures 193 Chapter 4 Differential Forms and Integration 207 Introduction 207 4.1 Multilinear Algebra 207 4.2 Vector-Valued Forms 230 vii viii Contents 4.3 Differential Forms 238 4.4 The de Rham Complex 245 4.5 Tensorial Forms 257 4.6 Integration on Manifolds 268 4.7 Stokes Theorem 288 Chapter 5 de Rham Cohomology 297 Introduction 297 5.1 The de Rham Cohomology Groups 298 5.2 Induced Homomorphisms 303 5.3 Cochain Complexes and Their Cohomology 318 5.4 The Mayer-Vietoris Sequence 324 5.5 The Cohomology of Compact, Orientable Manifolds 335 5.6 The Brouwer Degree 340 5.7 The Hopf Invariant 346 Chapter 6 Characteristic Classes 351 6.1 Motivation 351 6.2 Algebraic Preliminaries 355 6.3 The Chem- Weil Homomorphism 367 6.4 Chern Numbers 379 6.5 Жз-Сесћ Cohomology for Smooth Manifolds 388 Appendix A.I Seiberg- Witten Monopoles on R4 407 References 425 Symbols 431 Index 437
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spelling	Naber, Gregory L. 1948- Verfasser (DE-588)113221207 aut Topology, geometry, and Gauge fields interactions Gregory L. Naber New York [u.a.] Springer 2000 XIII, 443 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Applied mathematical sciences 141 Eichfeld - Topologie - Geometrie Mathematische Physik Gauge fields (Physics) Geometry Mathematical physics Topology Eichtheorie (DE-588)4122125-4 gnd rswk-swf Topologie (DE-588)4060425-1 gnd rswk-swf Mannigfaltigkeit (DE-588)4037379-4 gnd rswk-swf Kohomologie (DE-588)4031700-6 gnd rswk-swf Geometrie (DE-588)4020236-7 gnd rswk-swf Maßtheorie (DE-588)4074626-4 gnd rswk-swf Mathematische Physik (DE-588)4037952-8 gnd rswk-swf Mathematische Physik (DE-588)4037952-8 s Eichtheorie (DE-588)4122125-4 s Topologie (DE-588)4060425-1 s Geometrie (DE-588)4020236-7 s DE-604 Kohomologie (DE-588)4031700-6 s Mannigfaltigkeit (DE-588)4037379-4 s Maßtheorie (DE-588)4074626-4 s 1\p DE-604 Applied mathematical sciences 141 (DE-604)BV000005274 141 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008933328&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
spellingShingle	Naber, Gregory L. 1948- Topology, geometry, and Gauge fields interactions Applied mathematical sciences Eichfeld - Topologie - Geometrie Mathematische Physik Gauge fields (Physics) Geometry Mathematical physics Topology Eichtheorie (DE-588)4122125-4 gnd Topologie (DE-588)4060425-1 gnd Mannigfaltigkeit (DE-588)4037379-4 gnd Kohomologie (DE-588)4031700-6 gnd Geometrie (DE-588)4020236-7 gnd Maßtheorie (DE-588)4074626-4 gnd Mathematische Physik (DE-588)4037952-8 gnd
subject_GND	(DE-588)4122125-4 (DE-588)4060425-1 (DE-588)4037379-4 (DE-588)4031700-6 (DE-588)4020236-7 (DE-588)4074626-4 (DE-588)4037952-8
title	Topology, geometry, and Gauge fields interactions
title_auth	Topology, geometry, and Gauge fields interactions
title_exact_search	Topology, geometry, and Gauge fields interactions
title_full	Topology, geometry, and Gauge fields interactions Gregory L. Naber
title_fullStr	Topology, geometry, and Gauge fields interactions Gregory L. Naber
title_full_unstemmed	Topology, geometry, and Gauge fields interactions Gregory L. Naber
title_short	Topology, geometry, and Gauge fields
title_sort	topology geometry and gauge fields interactions
title_sub	interactions
topic	Eichfeld - Topologie - Geometrie Mathematische Physik Gauge fields (Physics) Geometry Mathematical physics Topology Eichtheorie (DE-588)4122125-4 gnd Topologie (DE-588)4060425-1 gnd Mannigfaltigkeit (DE-588)4037379-4 gnd Kohomologie (DE-588)4031700-6 gnd Geometrie (DE-588)4020236-7 gnd Maßtheorie (DE-588)4074626-4 gnd Mathematische Physik (DE-588)4037952-8 gnd
topic_facet	Eichfeld - Topologie - Geometrie Mathematische Physik Gauge fields (Physics) Geometry Mathematical physics Topology Eichtheorie Topologie Mannigfaltigkeit Kohomologie Geometrie Maßtheorie
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work_keys_str_mv	AT nabergregoryl topologygeometryandgaugefieldsinteractions

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