Geometry of characteristic classes:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, RI
AMS
2001
|
| Series: | Translations of mathematical monographs
199 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIII, 185 S. graph. Darst. |
| ISBN: | 0821821393 |
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Record in the Search Index
| _version_ | 1804128792951652352 |
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| adam_text | Contents
Preface to the English Edition vii
Preface ix
Summary and Purpose of This Volume xi
Chapter 1. De Rham Homotopy Theory 1
1.1. Postnikov decomposition and rational homotopy type 1
1.2. Minimal models of differential graded algebras 18
1.3. The main theorem 34
1.4. Fundamental groups and de Rham homotopy theory 43
Chapter 2. Characteristic Classes of Flat Bundles 49
2.1. Flat bundles 49
2.2. Cohomology of Lie algebras 60
2.3. Characteristic classes of flat bundles 66
2.4. Gel fand Fuks cohomology 75
Chapter 3. Characteristic Classes of Foliations 87
3.1. Foliations 87
3.2. The Godbillon Vey class 91
3.3. Canonical forms on frame bundles of higher orders 100
3.4. Bott vanishing theorem and characteristic classes of
foliations 113
3.5. Discontinuous invariants 119
3.6. Characteristic classes of flat bundles II 126
Chapter 4. Characteristic Classes of Surface Bundles 135
4.1. Mapping class group and classification of surface
bundles 135
4.2. Characteristic classes of surface bundles 144
4.3. Non triviality of the characteristic classes (1) 151
4.4. Non triviality of the characteristic classes (2) 160
V
vi CONTENTS
4.5. Applications of characteristic classes 171
Directions and Problems for Future Research 175
Bibliography 179
Index 183
|
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| id | DE-604.BV013947047 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:54:53Z |
| institution | BVB |
| isbn | 0821821393 |
| language | English |
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| physical | XIII, 185 S. graph. Darst. |
| publishDate | 2001 |
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| publisher | AMS |
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| series | Translations of mathematical monographs |
| series2 | Translations of mathematical monographs Iwanami series in modern mathematics |
| spelling | Morita, Shigeyuki Verfasser aut Tokuseirui to kikagaku Geometry of characteristic classes Shigeyuki Morita Providence, RI AMS 2001 XIII, 185 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Translations of mathematical monographs 199 Iwanami series in modern mathematics Charakteristische Klasse (DE-588)4194231-0 gnd rswk-swf Charakteristische Klasse (DE-588)4194231-0 s DE-604 Translations of mathematical monographs 199 (DE-604)BV000002394 199 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009543662&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Morita, Shigeyuki Geometry of characteristic classes Translations of mathematical monographs Charakteristische Klasse (DE-588)4194231-0 gnd |
| subject_GND | (DE-588)4194231-0 |
| title | Geometry of characteristic classes |
| title_alt | Tokuseirui to kikagaku |
| title_auth | Geometry of characteristic classes |
| title_exact_search | Geometry of characteristic classes |
| title_full | Geometry of characteristic classes Shigeyuki Morita |
| title_fullStr | Geometry of characteristic classes Shigeyuki Morita |
| title_full_unstemmed | Geometry of characteristic classes Shigeyuki Morita |
| title_short | Geometry of characteristic classes |
| title_sort | geometry of characteristic classes |
| topic | Charakteristische Klasse (DE-588)4194231-0 gnd |
| topic_facet | Charakteristische Klasse |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009543662&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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