The geometry of supermanifolds:
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Dordrecht u.a.
Kluwer
1991
|
| Series: | Mathematics and its applications
71 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIX, 242 S. |
| ISBN: | 0792314409 |
Staff View
MARC
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| 245 | 1 | 0 | |a The geometry of supermanifolds |c by Claudio Bartocci, Ugo Bruzzo and Daniel Hernández-Ruipérez |
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Record in the Search Index
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| adam_text | Table of Contents
Series Editor s Preface v
Preface xi
Introduction xiii
Part I: Foundations
Chapter I — Elements of graded algebra 1
1. Graded algebraic structures: 1 2. Graded algebras and graded tensor
calculus: 8 3. Matrices: 15
Chapter II — Sheaves and cohomology 19
1. Presheaves and sheaves: 20 2. Sheaf cohomology: 28 3. de Rham,
Dolbeault, and Cech cohomologies: 37 4. Graded Ringed spaces: 44
Part II: Supermanifolds
Chapter III — Categories of supermanifolds 55
1. Graded manifolds: 56 2. Supersmooth functions: 72 3. GH°° func¬
tions: 80 4. G supermanifolds: 82
Chapter IV — Basic geometry of G supermanifolds 93
1. Morphisms: 94 2. Products: 98 3. Super vector bundles: 104
4. Graded exterior differential calculus: 113 5. Projectable graded vector
fields: 118 6. DeWitt supermanifolds: 121 7. Rothstein s axiomatics:
126
x Table of Contents
Chapter V — Cohomology of supermanifolds 143
1. de Rham cohomology of graded manifolds: 143 2. Cohomology of
graded differential forms: 144 3. Cohomology of DeWitt supermanifolds:
149 4. Again on the structure of DeWitt supermanifolds: 154
Chapter VI — Geometry of super vector bundles 159
1. Connections: 159 2. Super line bundles: 164 3. Characteristic classes:
172 — 4. Characteristic classes in terms of curvature forms: 182
Chapter VII — Lie supergroups and principal super fibre bundles 191
1. Lie supergroups: 192 2. Lie supergroup actions: 199 3. Principal
superfibre bundles: 210 4. Connections: 214 5. Associated super fibre
bundles: 222
Bibliography 229
Index 239
|
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| id | DE-604.BV004706823 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:16:26Z |
| institution | BVB |
| isbn | 0792314409 |
| language | English |
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| physical | XIX, 242 S. |
| publishDate | 1991 |
| publishDateSearch | 1991 |
| publishDateSort | 1991 |
| publisher | Kluwer |
| record_format | marc |
| series | Mathematics and its applications |
| series2 | Mathematics and its applications |
| spelling | Bartocci, Claudio 1962- Verfasser (DE-588)132310775 aut The geometry of supermanifolds by Claudio Bartocci, Ugo Bruzzo and Daniel Hernández-Ruipérez Dordrecht u.a. Kluwer 1991 XIX, 242 S. txt rdacontent n rdamedia nc rdacarrier Mathematics and its applications 71 Supermannigfaltigkeit (DE-588)4289285-5 gnd rswk-swf Supermannigfaltigkeit (DE-588)4289285-5 s DE-604 Bruzzo, Ugo 1955- Verfasser (DE-588)132310848 aut Hernández-Ruipérez, Daniel 1954- Verfasser (DE-588)132310945 aut Mathematics and its applications 71 (DE-604)BV008163334 71 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002892219&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bartocci, Claudio 1962- Bruzzo, Ugo 1955- Hernández-Ruipérez, Daniel 1954- The geometry of supermanifolds Mathematics and its applications Supermannigfaltigkeit (DE-588)4289285-5 gnd |
| subject_GND | (DE-588)4289285-5 |
| title | The geometry of supermanifolds |
| title_auth | The geometry of supermanifolds |
| title_exact_search | The geometry of supermanifolds |
| title_full | The geometry of supermanifolds by Claudio Bartocci, Ugo Bruzzo and Daniel Hernández-Ruipérez |
| title_fullStr | The geometry of supermanifolds by Claudio Bartocci, Ugo Bruzzo and Daniel Hernández-Ruipérez |
| title_full_unstemmed | The geometry of supermanifolds by Claudio Bartocci, Ugo Bruzzo and Daniel Hernández-Ruipérez |
| title_short | The geometry of supermanifolds |
| title_sort | the geometry of supermanifolds |
| topic | Supermannigfaltigkeit (DE-588)4289285-5 gnd |
| topic_facet | Supermannigfaltigkeit |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002892219&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008163334 |
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