Torsion de Reidemeister pour les variétés hyperboliques:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | French |
| Published: |
Providence, RI
American Mathematical Society
1997
|
| Series: | American Mathematical Society: Memoirs of the American Mathematical Society
612 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Volume 128, Number 612 (end of volume) |
| Physical Description: | IX, 139 S. graph. Darst. |
| ISBN: | 0821806319 |
Staff View
MARC
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Record in the Search Index
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| adam_text | TABLE DES MATIERES
Introduction 1
Chapitre 0. Préliminaires 7
0.1. Torsion d un complexe 7
0.2, Torsion de Reiderneister associée à une représentation 8
0.3. Propriétés de l homologie à coefficients tordus par la
représentation adjointe 10
0.4. Suite exacte de Mayer Vietoris 15
Chapitre 1. Torsion d un Orbifold 19
1.1. Rappel sur la notion d orbifold en dimension 3 19
1.2. Définition de la torsion 21
1.3. Invariance de la torsion par rapport à la cellulation 24
1.4. Torsion, isomëtries et orientation 26
1.5. Invariance par mutations 27
1.6. Torsion d un revêtement infini cyclique 31
1.7. Exemple: les anneaux de Borromé 34
Chapitre 2. Torsion d une action 37
2.1. Actions de groupes et revêtements réguliers 37
2.2. Existence de la torsion 39
2.3. Invariance par équivalence d actions 45
2.4. Naturalité par quotient 48
2.5. Rapport entre la torsion d une action et la torsion d un
orbifold 51
2.6. Variétés hyperboliques ayant même volume et même
7? invariant mais des torsions différentes 61
Chapitre 3. Variété des caractères et paramétrages 67
3.1. Variété des représentations et variété des caractères
d un groupe discret de type fini 67
3.2. Représentations réductibles 72
3.3. Paramétrages locaux 76
Chapitre 4. Torsion sur la Variété des Caractères 89
4.1. Torsion pour les variétés hyperboliques ouvertes 89
4.2. Démonstration du théorème 4.1 91
4.3. Zéros et pôles de la torsion 103
4.4. Limite de torsions de variétés 106
4.5. Fibres en tores sur le cercle 110
vii
viii TABLE DES MATIERES
Chapitre 5. Torsion d une variété conique 115
5.1. Rappels sur les variétés coniques 115
5.2. Torsion d une variété conique 119
5.3. Dégenérescense de la structure hyperbolique 121
5.4. La convergence géométrique implique la convergence
algébrique 124
5.5. Holonomie d une variété conique euclidienne 130
Bibliographie 137
|
| any_adam_object | 1 |
| author | Porti, Joan 1967- |
| author_GND | (DE-588)173132189 |
| author_facet | Porti, Joan 1967- |
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| callnumber-first | Q - Science |
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| dewey-full | 514/.3 510 |
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| dewey-ones | 514 - Topology 510 - Mathematics |
| dewey-raw | 514/.3 510 |
| dewey-search | 514/.3 510 |
| dewey-sort | 3514 13 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T18:11:31Z |
| institution | BVB |
| isbn | 0821806319 |
| language | French |
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| physical | IX, 139 S. graph. Darst. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
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| publisher | American Mathematical Society |
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| series | American Mathematical Society: Memoirs of the American Mathematical Society |
| series2 | American Mathematical Society: Memoirs of the American Mathematical Society |
| spelling | Porti, Joan 1967- Verfasser (DE-588)173132189 aut Torsion de Reidemeister pour les variétés hyperboliques Joan Porti Providence, RI American Mathematical Society 1997 IX, 139 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier American Mathematical Society: Memoirs of the American Mathematical Society 612 Volume 128, Number 612 (end of volume) Geometria larpcal Hyperbolische meetkunde gtt Manifolds gtt Geometry, Hyperbolic Reidemeister torsion Three-manifolds (Topology) Dimension 3 (DE-588)4321722-9 gnd rswk-swf Drehung (DE-588)4150619-4 gnd rswk-swf Torsion (DE-588)4125469-7 gnd rswk-swf Mannigfaltigkeit (DE-588)4037379-4 gnd rswk-swf Hyperbolische Mannigfaltigkeit (DE-588)4161044-1 gnd rswk-swf Hyperbolische Geometrie (DE-588)4161041-6 gnd rswk-swf Mannigfaltigkeit (DE-588)4037379-4 s Dimension 3 (DE-588)4321722-9 s Hyperbolische Geometrie (DE-588)4161041-6 s Torsion (DE-588)4125469-7 s DE-604 Hyperbolische Mannigfaltigkeit (DE-588)4161044-1 s Drehung (DE-588)4150619-4 s American Mathematical Society: Memoirs of the American Mathematical Society 612 (DE-604)BV008000141 612 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007769678&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Porti, Joan 1967- Torsion de Reidemeister pour les variétés hyperboliques American Mathematical Society: Memoirs of the American Mathematical Society Geometria larpcal Hyperbolische meetkunde gtt Manifolds gtt Geometry, Hyperbolic Reidemeister torsion Three-manifolds (Topology) Dimension 3 (DE-588)4321722-9 gnd Drehung (DE-588)4150619-4 gnd Torsion (DE-588)4125469-7 gnd Mannigfaltigkeit (DE-588)4037379-4 gnd Hyperbolische Mannigfaltigkeit (DE-588)4161044-1 gnd Hyperbolische Geometrie (DE-588)4161041-6 gnd |
| subject_GND | (DE-588)4321722-9 (DE-588)4150619-4 (DE-588)4125469-7 (DE-588)4037379-4 (DE-588)4161044-1 (DE-588)4161041-6 |
| title | Torsion de Reidemeister pour les variétés hyperboliques |
| title_auth | Torsion de Reidemeister pour les variétés hyperboliques |
| title_exact_search | Torsion de Reidemeister pour les variétés hyperboliques |
| title_full | Torsion de Reidemeister pour les variétés hyperboliques Joan Porti |
| title_fullStr | Torsion de Reidemeister pour les variétés hyperboliques Joan Porti |
| title_full_unstemmed | Torsion de Reidemeister pour les variétés hyperboliques Joan Porti |
| title_short | Torsion de Reidemeister pour les variétés hyperboliques |
| title_sort | torsion de reidemeister pour les varietes hyperboliques |
| topic | Geometria larpcal Hyperbolische meetkunde gtt Manifolds gtt Geometry, Hyperbolic Reidemeister torsion Three-manifolds (Topology) Dimension 3 (DE-588)4321722-9 gnd Drehung (DE-588)4150619-4 gnd Torsion (DE-588)4125469-7 gnd Mannigfaltigkeit (DE-588)4037379-4 gnd Hyperbolische Mannigfaltigkeit (DE-588)4161044-1 gnd Hyperbolische Geometrie (DE-588)4161041-6 gnd |
| topic_facet | Geometria Hyperbolische meetkunde Manifolds Geometry, Hyperbolic Reidemeister torsion Three-manifolds (Topology) Dimension 3 Drehung Torsion Mannigfaltigkeit Hyperbolische Mannigfaltigkeit Hyperbolische Geometrie |
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