The topology of 4-manifolds:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
1989
|
| Series: | Lecture notes in mathematics
1374 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VI, 108 S. graph. Darst. |
| ISBN: | 3540511482 0387511482 |
Staff View
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| 245 | 1 | 0 | |a The topology of 4-manifolds |c Robion C. Kirby |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1989 | |
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| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a Lecture notes in mathematics |v 1374 | |
| 490 | 1 | |a Lecture notes in mathematics / Subseries: Nankai Institute of Mathematics, Tianjin, P.R. China |v 6 | |
| 650 | 4 | |a Variétés topologiques à 4 dimensions | |
| 650 | 4 | |a Four-manifolds (Topology) | |
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Record in the Search Index
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|---|---|
| adam_text |
TABLE OF CONTENTS
Preface Ill
Introduction 1
I. Handlebodies and Framed Links 3
§1. Handlebodies and Morse functions 3
§2. Framed links 4
§3. Examples 8
§4. Sliding 2 handles over handles 9
§5. dML 14
§6. An interesting homotopy 4 sphere and conjectures 16
II. Intersection Forms 20
§1. Intersection forms 20
§2. Homotopy type 22
§3. Symmetric bilinear forms 23
§4. Characteristic classes 27
§5. The index 27
III. Classification Theorems (Statements Only) 31
§1. Rohlin's Theorem 31
§2. Freedman's work 31
§3. Donaldson's work 32
IV. Spin Structures 33
V. Tlie and CP2 | ( CP2) 38
VI. Immersing 4 Manifolds in R6 43
VII. 3 Manifolds, A Digression 46
VIII. Bounding 5 Manifolds 49
IX. Pl(M) = 3 r(M), «f° = Z and fi°pin = Z 57
X. Wall's DifFeomorphisms and A Cobordism 59
VI
XI. Rohlin's Theorem 64
§1. An elementary proof 64
§2. fi$har 65
§3. The /x invariant and the Arf invariant of a knot 66
XII. Casson Handles 72
§1. Whitney's trick 72
§2. Finger moves 74
§3. Casson handles 76
§4. The Whitehead continuum 81
XIII. Freedman's Work 86
§1. Decompositions 86
§2. (R3/Wh) xR 87
§3. Reimbedding theorems 88
§4. The design 91
XIV. Exotic i2*'s 95
Appendix: The Arf Invariant of a Quadratic Form 102
References 103
Index 107 |
| any_adam_object | 1 |
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| indexdate | 2024-07-20T07:36:06Z |
| institution | BVB |
| isbn | 3540511482 0387511482 |
| language | English |
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| physical | VI, 108 S. graph. Darst. |
| publishDate | 1989 |
| publishDateSearch | 1989 |
| publishDateSort | 1989 |
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| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics Lecture notes in mathematics / Subseries: Nankai Institute of Mathematics, Tianjin, P.R. China |
| spelling | Kirby, Robion C. 1938- Verfasser (DE-588)112708145 aut The topology of 4-manifolds Robion C. Kirby Berlin [u.a.] Springer 1989 VI, 108 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1374 Lecture notes in mathematics / Subseries: Nankai Institute of Mathematics, Tianjin, P.R. China 6 Variétés topologiques à 4 dimensions Four-manifolds (Topology) Mannigfaltigkeit (DE-588)4037379-4 gnd rswk-swf Dimension 4 (DE-588)4338676-3 gnd rswk-swf Topologie (DE-588)4060425-1 gnd rswk-swf Mannigfaltigkeit (DE-588)4037379-4 s Dimension 4 (DE-588)4338676-3 s Topologie (DE-588)4060425-1 s DE-604 Subseries: Nankai Institute of Mathematics, Tianjin, P.R. China Lecture notes in mathematics 6 (DE-604)BV001897825 6 Lecture notes in mathematics 1374 (DE-604)BV000676446 1374 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001457274&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kirby, Robion C. 1938- The topology of 4-manifolds Lecture notes in mathematics Variétés topologiques à 4 dimensions Four-manifolds (Topology) Mannigfaltigkeit (DE-588)4037379-4 gnd Dimension 4 (DE-588)4338676-3 gnd Topologie (DE-588)4060425-1 gnd |
| subject_GND | (DE-588)4037379-4 (DE-588)4338676-3 (DE-588)4060425-1 |
| title | The topology of 4-manifolds |
| title_auth | The topology of 4-manifolds |
| title_exact_search | The topology of 4-manifolds |
| title_full | The topology of 4-manifolds Robion C. Kirby |
| title_fullStr | The topology of 4-manifolds Robion C. Kirby |
| title_full_unstemmed | The topology of 4-manifolds Robion C. Kirby |
| title_short | The topology of 4-manifolds |
| title_sort | the topology of 4 manifolds |
| topic | Variétés topologiques à 4 dimensions Four-manifolds (Topology) Mannigfaltigkeit (DE-588)4037379-4 gnd Dimension 4 (DE-588)4338676-3 gnd Topologie (DE-588)4060425-1 gnd |
| topic_facet | Variétés topologiques à 4 dimensions Four-manifolds (Topology) Mannigfaltigkeit Dimension 4 Topologie |
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