Symétrie miroir:
Gespeichert in:
1. Verfasser: | |
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Format: | Buch |
Sprache: | French |
Veröffentlicht: |
Paris
Soc. Math. de France
1996
|
Schriftenreihe: | Panoramas et synthèses
2 |
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | 148 S. |
ISBN: | 2856290485 |
Internformat
MARC
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650 | 4 | |a Hodge theory | |
650 | 4 | |a Symmetry (Physics) | |
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Datensatz im Suchindex
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adam_text | TABLE DES MATIÈRES
Introduction 3
1. Variétés de Calabi Yau 17
1.1. Théorème de Yau 17
1.2. Le théorème de décomposition 19
1.3. Lissité de la famille locale de déformations 21
1.4. Lissifiabilité des variétés de Calabi Yau à croisements normaux 25
1.5. L application des périodes 28
1.6. Variétés de Calabi Yau de dimension 3 32
1.7. Exemples de variétés de Calabi Yau 33
1.8. Miroirs 35
2. Origine physique de la conjecture 39
2.1. Le cr modèle N = 2 supersymétrique 39
2.2. Quantification 46
2.3. Conjecture de Gepner 50
2.4. Symétrie miroir 52
2.5. Théorie N = 2 superconforme et cohomologie de Dolbeault 53
2.6. Interprétation de Witten 55
3. Travaux de Candelas—de la Ossa—Green—Parkes 59
3.1. Coordonnées spéciales et accouplements de Yukawa 59
3.2. Dégénérescences 64
3.3. Le calcul de Candelas de la Ossa Green Parkes 70
3.4. Équations de Picard Fuchs 72
3.5. Fin du raisonnement 77
4. Travaux de Batyrev 79
4.1. Variétés toriques 79
4.2. Diviseurs de Weil et de Cartier 81
©PANORAMAS ET SYNTHÈSES 2, SMF 1996
2 TABLE DES MATIÈRES
4.3. Polyèdres et variétés toriques 83
4.4. Variétés toriques de Fano 85
4.5. Désingularisation 86
4.6. Calcul de la cohomologie de Zj 88
5. Cohomologie quantique 95
5.1. Formulation de Kontsevich et Manin 95
5.2. Travaux de Ruan et Tian 99
5.3. Potentiel de Gromov Witten 105
5.4. Application à la symétrie miroir 111
5.5. Produit quantique 113
5.6. Le calcul d Aspinwall et Morrison 114
6. La construction de Givental 119
6.1. Cohomologie de Floer 120
6.2. Théorème de comparaison 126
6.3. Cohomologie quantique et cohomologie de Floer 127
6.4. Cohomologie équivariante 130
6.5. La construction de Givental 136
Bibliographie 143
|
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author | Voisin, Claire 1962- |
author_GND | (DE-588)1075027810 |
author_facet | Voisin, Claire 1962- |
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author_variant | c v cv |
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callnumber-search | QC174.17.S9 |
callnumber-sort | QC 3174.17 S9 |
callnumber-subject | QC - Physics |
classification_rvk | SK 350 |
ctrlnum | (OCoLC)35619470 (DE-599)BVBBV012444649 |
discipline | Mathematik |
format | Book |
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genre_facet | Hochschulschrift |
id | DE-604.BV012444649 |
illustrated | Not Illustrated |
indexdate | 2024-07-09T18:27:41Z |
institution | BVB |
isbn | 2856290485 |
language | French |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008444321 |
oclc_num | 35619470 |
open_access_boolean | |
owner | DE-384 DE-11 |
owner_facet | DE-384 DE-11 |
physical | 148 S. |
publishDate | 1996 |
publishDateSearch | 1996 |
publishDateSort | 1996 |
publisher | Soc. Math. de France |
record_format | marc |
series | Panoramas et synthèses |
series2 | Panoramas et synthèses |
spelling | Voisin, Claire 1962- Verfasser (DE-588)1075027810 aut Symétrie miroir Claire Voisin Paris Soc. Math. de France 1996 148 S. txt rdacontent n rdamedia nc rdacarrier Panoramas et synthèses 2 Cohomologie quantique rasuqam Symétrie du miroir rasuqam Calabi-Yau manifolds Hodge theory Symmetry (Physics) Calabi-Yau-Mannigfaltigkeit (DE-588)4440893-6 gnd rswk-swf Quantenfeldtheorie (DE-588)4047984-5 gnd rswk-swf Spiegelsymmetrie (DE-588)4538605-5 gnd rswk-swf 1\p (DE-588)4113937-9 Hochschulschrift gnd-content Spiegelsymmetrie (DE-588)4538605-5 s Quantenfeldtheorie (DE-588)4047984-5 s DE-604 Calabi-Yau-Mannigfaltigkeit (DE-588)4440893-6 s 2\p DE-604 Panoramas et synthèses 2 (DE-604)BV037491878 2 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008444321&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 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Voisin, Claire 1962- Symétrie miroir Panoramas et synthèses Cohomologie quantique rasuqam Symétrie du miroir rasuqam Calabi-Yau manifolds Hodge theory Symmetry (Physics) Calabi-Yau-Mannigfaltigkeit (DE-588)4440893-6 gnd Quantenfeldtheorie (DE-588)4047984-5 gnd Spiegelsymmetrie (DE-588)4538605-5 gnd |
subject_GND | (DE-588)4440893-6 (DE-588)4047984-5 (DE-588)4538605-5 (DE-588)4113937-9 |
title | Symétrie miroir |
title_auth | Symétrie miroir |
title_exact_search | Symétrie miroir |
title_full | Symétrie miroir Claire Voisin |
title_fullStr | Symétrie miroir Claire Voisin |
title_full_unstemmed | Symétrie miroir Claire Voisin |
title_short | Symétrie miroir |
title_sort | symetrie miroir |
topic | Cohomologie quantique rasuqam Symétrie du miroir rasuqam Calabi-Yau manifolds Hodge theory Symmetry (Physics) Calabi-Yau-Mannigfaltigkeit (DE-588)4440893-6 gnd Quantenfeldtheorie (DE-588)4047984-5 gnd Spiegelsymmetrie (DE-588)4538605-5 gnd |
topic_facet | Cohomologie quantique Symétrie du miroir Calabi-Yau manifolds Hodge theory Symmetry (Physics) Calabi-Yau-Mannigfaltigkeit Quantenfeldtheorie Spiegelsymmetrie Hochschulschrift |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008444321&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV037491878 |
work_keys_str_mv | AT voisinclaire symetriemiroir |