Topology, geometry, and Gauge fields: foundations
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Springer
1997
|
| Series: | Texts in applied mathematics
25 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XVIII, 396 S. graph. Darst. |
| ISBN: | 0387949461 |
Staff View
MARC
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| 100 | 1 | |a Naber, Gregory L. |d 1948- |e Verfasser |0 (DE-588)113221207 |4 aut | |
| 245 | 1 | 0 | |a Topology, geometry, and Gauge fields |b foundations |c Gregory L. Naber |
| 264 | 1 | |a New York [u.a.] |b Springer |c 1997 | |
| 300 | |a XVIII, 396 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Texts in applied mathematics |v 25 | |
| 650 | 4 | |a Mathematische Physik | |
| 650 | 4 | |a Gauge fields (Physics) | |
| 650 | 4 | |a Geometry | |
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Record in the Search Index
| _version_ | 1804125941198225408 |
|---|---|
| adam_text | Contents
Series
Preface
vi
Preface
vii
Acknowledgments
xv
Chapter
0
Physical and Geometrical Motivation
0.1
Introduction
1
0.2
Dirac s Magnetic
Monopole 1
0.3
The
Hopf
Bundle
11
0.4
Connections on Principal Bundles
20
0.5
Non-Abelian Gauge Fields and Topology
23
Chapter
1
Topological Spaces
1.1
Topologies and Continuous Maps
27
1.2
Quotient Topologies and
Projective
Spaces
48
1.3
Products and Local Products
57
1.4
Compactness Conditions
70
1.5
Connectivity and Covering Spaces
76
1.6
Topological Groups and Group Actions
87
Chapter
2
Homotopy Groups
2.1
Introduction
101
2.2
Path Homotopy and the Fundamental Group
102
2.3
Contractible and Simply Connected Spaces
112
2.4
The Covering Homotopy Theorem
127
2.5
Higher Homotopy Groups
142
Chapter
3
Principal Bundles
3.1
C° Principal Bundles
165
3.2
Transition Functions
167
3.3
Bundle Maps and Equivalence
169
3.4
Principal G-Bundles over Spheres
177
Chapter
4
Differentiable Manifolds and Matrix Lie Groups
4.0
Introduction
185
4.1
Smooth Maps on Euclidean Spaces
185
4.2
Differentiable Manifolds
189
4.3
Smooth Maps on Manifolds
193
4.4
Tangent Vectors and Derivatives
198
xviii
Contents
4.5
Submanifolds
4.6
Vector
Fields and
I-Forms
4.7
Matrix Lie Groups
4.8
Vector-Valued 1-Forms
4.9
Orientability
4.10
2-Forms and Riemannian Metrics
207
215
229
245
263
269
Chapter
5
Gauge Fields and
Instantons
5.1
Connections and Gauge Equivalence
291
5.2
Curvature and Gauge Fields
309
5.3
The Yang-Mills Functional
316
5.4
The Hodge Dual for 2-Forms in Dimension Four
326
5.5
The Moduli Space
335
5.6
Matter Fields: Motivation
347
5.7
Associated Fiber Bundles
35O
5.8
Matter Fields and Their Covariant Derivatives
355
Appendix
SU
(2)
and SO
(3) 367
References
379
Symbols
383
Index
389
|
| any_adam_object | 1 |
| author | Naber, Gregory L. 1948- |
| author_GND | (DE-588)113221207 |
| author_facet | Naber, Gregory L. 1948- |
| author_role | aut |
| author_sort | Naber, Gregory L. 1948- |
| author_variant | g l n gl gln |
| building | Verbundindex |
| bvnumber | BV011426644 |
| callnumber-first | Q - Science |
| callnumber-label | QC20 |
| callnumber-raw | QC20.7.T65 |
| callnumber-search | QC20.7.T65 |
| callnumber-sort | QC 220.7 T65 |
| callnumber-subject | QC - Physics |
| classification_rvk | SK 280 SK 350 UO 4060 |
| classification_tum | PHY 014f MAT 550f MAT 530f PHY 417f |
| ctrlnum | (OCoLC)246571289 (DE-599)BVBBV011426644 |
| dewey-full | 516.362 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.362 |
| dewey-search | 516.362 |
| dewey-sort | 3516.362 |
| dewey-tens | 510 - Mathematics |
| discipline | Physik Mathematik |
| format | Book |
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| id | DE-604.BV011426644 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:09:33Z |
| institution | BVB |
| isbn | 0387949461 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007683447 |
| oclc_num | 246571289 |
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| physical | XVIII, 396 S. graph. Darst. |
| publishDate | 1997 |
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| series | Texts in applied mathematics |
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| spelling | Naber, Gregory L. 1948- Verfasser (DE-588)113221207 aut Topology, geometry, and Gauge fields foundations Gregory L. Naber New York [u.a.] Springer 1997 XVIII, 396 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Texts in applied mathematics 25 Mathematische Physik Gauge fields (Physics) Geometry Mathematical physics Topology Eichtheorie (DE-588)4122125-4 gnd rswk-swf Mathematische Physik (DE-588)4037952-8 gnd rswk-swf Geometrie (DE-588)4020236-7 gnd rswk-swf Eichfeld (DE-588)4328765-7 gnd rswk-swf Topologie (DE-588)4060425-1 gnd rswk-swf Eichfeld (DE-588)4328765-7 s Topologie (DE-588)4060425-1 s Geometrie (DE-588)4020236-7 s DE-604 Eichtheorie (DE-588)4122125-4 s Mathematische Physik (DE-588)4037952-8 s Texts in applied mathematics 25 (DE-604)BV002476038 25 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007683447&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Naber, Gregory L. 1948- Topology, geometry, and Gauge fields foundations Texts in applied mathematics Mathematische Physik Gauge fields (Physics) Geometry Mathematical physics Topology Eichtheorie (DE-588)4122125-4 gnd Mathematische Physik (DE-588)4037952-8 gnd Geometrie (DE-588)4020236-7 gnd Eichfeld (DE-588)4328765-7 gnd Topologie (DE-588)4060425-1 gnd |
| subject_GND | (DE-588)4122125-4 (DE-588)4037952-8 (DE-588)4020236-7 (DE-588)4328765-7 (DE-588)4060425-1 |
| title | Topology, geometry, and Gauge fields foundations |
| title_auth | Topology, geometry, and Gauge fields foundations |
| title_exact_search | Topology, geometry, and Gauge fields foundations |
| title_full | Topology, geometry, and Gauge fields foundations Gregory L. Naber |
| title_fullStr | Topology, geometry, and Gauge fields foundations Gregory L. Naber |
| title_full_unstemmed | Topology, geometry, and Gauge fields foundations Gregory L. Naber |
| title_short | Topology, geometry, and Gauge fields |
| title_sort | topology geometry and gauge fields foundations |
| title_sub | foundations |
| topic | Mathematische Physik Gauge fields (Physics) Geometry Mathematical physics Topology Eichtheorie (DE-588)4122125-4 gnd Mathematische Physik (DE-588)4037952-8 gnd Geometrie (DE-588)4020236-7 gnd Eichfeld (DE-588)4328765-7 gnd Topologie (DE-588)4060425-1 gnd |
| topic_facet | Mathematische Physik Gauge fields (Physics) Geometry Mathematical physics Topology Eichtheorie Geometrie Eichfeld Topologie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007683447&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV002476038 |
| work_keys_str_mv | AT nabergregoryl topologygeometryandgaugefieldsfoundations |