An introduction to noncommutative differential geometry and its physical applications:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge
Cambridge Univ. Pr.
1999
|
| Edition: | 2. ed. |
| Series: | London Mathematical Society lecture note series
257 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VI, 321 S. |
| ISBN: | 0521659914 |
Staff View
MARC
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| 245 | 1 | 0 | |a An introduction to noncommutative differential geometry and its physical applications |c John Madore |
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Record in the Search Index
| _version_ | 1804127599630221312 |
|---|---|
| adam_text | Contents
1 Introduction 1
2 Differential Geometry 7
2.1 Differential manifolds 7
2.2 Metrics and connections 22
2.3 Cohomology 36
3 Matrix Geometry 43
3.1 Differential forms I 44
3.2 Differential forms II 61
3.3 Tensor products 70
3.4 Metrics 73
3.5 Yang Mills connections 81
3.6 Linear connections 87
3.7 Curvature 98
4 Noncommutative Geometry 106
4.1 General algebras 106
4.2 Poisson structures 137
4.3 Topological algebras 140
4.4 Quantum groups 172
5 Vector Bundles 191
5.1 A theory 191
5.2 A matrix analogue 205
5.3 Fredholm modules 208
6 Cyclic Homology 217
6.1 The universal calculus 217
6.2 Cyclic homology 226
6.3 Morita equivalence 231
6.4 The Loday Quillen theorem 232
7 Modifications of Space Time 234
7.1 Noncommutative space time 235
7.2 A finite model 244
7.3 Fuzzy physics 252
vi Contents
8 Extensions of Space Time 276
8.1 The spinning particle 276
8.2 Noncommutative electrodynamics 280
8.3 Modified Kaluza Klein theory 286
Bibliography 297
Index 314
|
| any_adam_object | 1 |
| author | Madore, John |
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| ctrlnum | (OCoLC)246344789 (DE-599)BVBBV012912650 |
| dewey-full | 516.3/5 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.3/5 |
| dewey-search | 516.3/5 |
| dewey-sort | 3516.3 15 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 2. ed. |
| format | Book |
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| indexdate | 2024-07-09T18:35:55Z |
| institution | BVB |
| isbn | 0521659914 |
| language | English |
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| physical | VI, 321 S. |
| publishDate | 1999 |
| publishDateSearch | 1999 |
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| publisher | Cambridge Univ. Pr. |
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| series | London Mathematical Society lecture note series |
| series2 | London Mathematical Society lecture note series |
| spelling | Madore, John Verfasser aut An introduction to noncommutative differential geometry and its physical applications John Madore 2. ed. Cambridge Cambridge Univ. Pr. 1999 VI, 321 S. txt rdacontent n rdamedia nc rdacarrier London Mathematical Society lecture note series 257 Nichtkommutative Differentialgeometrie (DE-588)4311174-9 gnd rswk-swf Nichtkommutative Geometrie (DE-588)4171742-9 gnd rswk-swf Differentialgeometrie (DE-588)4012248-7 gnd rswk-swf Nichtkommutative Geometrie (DE-588)4171742-9 s Differentialgeometrie (DE-588)4012248-7 s DE-604 Nichtkommutative Differentialgeometrie (DE-588)4311174-9 s 1\p DE-604 London Mathematical Society lecture note series 257 (DE-604)BV000000130 257 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008789486&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 | Madore, John An introduction to noncommutative differential geometry and its physical applications London Mathematical Society lecture note series Nichtkommutative Differentialgeometrie (DE-588)4311174-9 gnd Nichtkommutative Geometrie (DE-588)4171742-9 gnd Differentialgeometrie (DE-588)4012248-7 gnd |
| subject_GND | (DE-588)4311174-9 (DE-588)4171742-9 (DE-588)4012248-7 |
| title | An introduction to noncommutative differential geometry and its physical applications |
| title_auth | An introduction to noncommutative differential geometry and its physical applications |
| title_exact_search | An introduction to noncommutative differential geometry and its physical applications |
| title_full | An introduction to noncommutative differential geometry and its physical applications John Madore |
| title_fullStr | An introduction to noncommutative differential geometry and its physical applications John Madore |
| title_full_unstemmed | An introduction to noncommutative differential geometry and its physical applications John Madore |
| title_short | An introduction to noncommutative differential geometry and its physical applications |
| title_sort | an introduction to noncommutative differential geometry and its physical applications |
| topic | Nichtkommutative Differentialgeometrie (DE-588)4311174-9 gnd Nichtkommutative Geometrie (DE-588)4171742-9 gnd Differentialgeometrie (DE-588)4012248-7 gnd |
| topic_facet | Nichtkommutative Differentialgeometrie Nichtkommutative Geometrie Differentialgeometrie |
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