Toroidal Dehn fillings on hyperbolic 3-manifolds:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, R.I.
American Mathematical Society
2008
|
| Series: | Memoirs of the American Mathematical Society
909 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | "Volume 194, number 909 (end of volume)." Includes bibliographical references |
| Physical Description: | VI, 140 S. graph. Darst. |
| ISBN: | 9780821841679 |
Staff View
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| 245 | 1 | 0 | |a Toroidal Dehn fillings on hyperbolic 3-manifolds |c Cameron McA. Gordon ; Ying-Qing Wu |
| 264 | 1 | |a Providence, R.I. |b American Mathematical Society |c 2008 | |
| 300 | |a VI, 140 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
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| 490 | 1 | |a Memoirs of the American Mathematical Society |v 909 | |
| 500 | |a "Volume 194, number 909 (end of volume)." | ||
| 500 | |a Includes bibliographical references | ||
| 650 | 4 | |a Dehn surgery (Topology) | |
| 650 | 4 | |a Three-manifolds (Topology) | |
| 650 | 4 | |a Geometry, Hyperbolic | |
| 650 | 0 | 7 | |a Hyperbolische Mannigfaltigkeit |0 (DE-588)4161044-1 |2 gnd |9 rswk-swf |
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Record in the Search Index
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|---|---|
| adam_text | Contents
1. Introduction 1
2. Preliminary lemmas 5
3. F+ has no interior vertex 18
4. Possible components of F+ 20
5. The case ni, n2 4 26
6. Kleinian graphs 34
7. If na = 4, rib 4 and F+ has a small component then ra is kleinian. 37
8. If na = 4, n 4 and Tb is non-positive then F+ has no small
component 41
9. If Tb is non-positive and na = 4 then rib 4 46
10. The case ni = n2 = 4 and Fi,r2 non-positive 51
11. The case na == 4, and F;, positive 54
12. The case na = 2, n 3, and F positive 64
13. The case na = 2, rib 4, Fi, F2 non-positive, and max(u)i + W2, 1V3 +
w4) = 2n6 - 2 74
14. The case na = 2, n 4, Fi, F2 non-positive, and wi = w2 == nb 78
15. Fo with na 2 85
16. The case na = 2, n = 3 or 4, and F1,F2 non-positive 86
17. Equidistance classes 94
18. The case nb = 1 and na = 2 96
19. The case ni = n2 = 2 and Tb positive 97
20. The case n = n2 = 2 and both Fi, F2 non-positive 103
21. The main theorems 108
22. The construction of Mi as a double branched cover 111
23. The manifolds Mi are hyperbolic 122
24. Toroidal surgery on knots in S3 131
Bibliography 139
V
|
| adam_txt |
Contents
1. Introduction 1
2. Preliminary lemmas 5
3. F+ has no interior vertex 18
4. Possible components of F+ 20
5. The case ni, n2 4 26
6. Kleinian graphs 34
7. If na = 4, rib 4 and F+ has a small component then ra is kleinian. 37
8. If na = 4, n 4 and Tb is non-positive then F+ has no small
component 41
9. If Tb is non-positive and na = 4 then rib 4 46
10. The case ni = n2 = 4 and Fi,r2 non-positive 51
11. The case na == 4, and F;, positive 54
12. The case na = 2, n 3, and F positive 64
13. The case na = 2, rib 4, Fi, F2 non-positive, and max(u)i + W2, 1V3 +
w4) = 2n6 - 2 74
14. The case na = 2, n 4, Fi, F2 non-positive, and wi = w2 == nb 78
15. Fo with na 2 85
16. The case na = 2, n = 3 or 4, and F1,F2 non-positive 86
17. Equidistance classes 94
18. The case nb = 1 and na = 2 96
19. The case ni = n2 = 2 and Tb positive 97
20. The case n\ = n2 = 2 and both Fi, F2 non-positive 103
21. The main theorems 108
22. The construction of Mi as a double branched cover 111
23. The manifolds Mi are hyperbolic 122
24. Toroidal surgery on knots in S3 131
Bibliography 139
V |
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| illustrated | Illustrated |
| index_date | 2024-07-02T21:13:33Z |
| indexdate | 2024-07-09T21:17:08Z |
| institution | BVB |
| isbn | 9780821841679 |
| language | English |
| lccn | 2008008511 |
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| physical | VI, 140 S. graph. Darst. |
| publishDate | 2008 |
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| publisher | American Mathematical Society |
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| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spelling | Gordon, Cameron Verfasser aut Toroidal Dehn fillings on hyperbolic 3-manifolds Cameron McA. Gordon ; Ying-Qing Wu Providence, R.I. American Mathematical Society 2008 VI, 140 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society 909 "Volume 194, number 909 (end of volume)." Includes bibliographical references Dehn surgery (Topology) Three-manifolds (Topology) Geometry, Hyperbolic Hyperbolische Mannigfaltigkeit (DE-588)4161044-1 gnd rswk-swf Dimension 3 (DE-588)4321722-9 gnd rswk-swf Hyperbolische Mannigfaltigkeit (DE-588)4161044-1 s Dimension 3 (DE-588)4321722-9 s DE-604 Wu, Ying-Qing 1956- Sonstige (DE-588)135750512 oth Memoirs of the American Mathematical Society 909 (DE-604)BV008000141 909 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016556898&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Gordon, Cameron Toroidal Dehn fillings on hyperbolic 3-manifolds Memoirs of the American Mathematical Society Dehn surgery (Topology) Three-manifolds (Topology) Geometry, Hyperbolic Hyperbolische Mannigfaltigkeit (DE-588)4161044-1 gnd Dimension 3 (DE-588)4321722-9 gnd |
| subject_GND | (DE-588)4161044-1 (DE-588)4321722-9 |
| title | Toroidal Dehn fillings on hyperbolic 3-manifolds |
| title_auth | Toroidal Dehn fillings on hyperbolic 3-manifolds |
| title_exact_search | Toroidal Dehn fillings on hyperbolic 3-manifolds |
| title_exact_search_txtP | Toroidal Dehn fillings on hyperbolic 3-manifolds |
| title_full | Toroidal Dehn fillings on hyperbolic 3-manifolds Cameron McA. Gordon ; Ying-Qing Wu |
| title_fullStr | Toroidal Dehn fillings on hyperbolic 3-manifolds Cameron McA. Gordon ; Ying-Qing Wu |
| title_full_unstemmed | Toroidal Dehn fillings on hyperbolic 3-manifolds Cameron McA. Gordon ; Ying-Qing Wu |
| title_short | Toroidal Dehn fillings on hyperbolic 3-manifolds |
| title_sort | toroidal dehn fillings on hyperbolic 3 manifolds |
| topic | Dehn surgery (Topology) Three-manifolds (Topology) Geometry, Hyperbolic Hyperbolische Mannigfaltigkeit (DE-588)4161044-1 gnd Dimension 3 (DE-588)4321722-9 gnd |
| topic_facet | Dehn surgery (Topology) Three-manifolds (Topology) Geometry, Hyperbolic Hyperbolische Mannigfaltigkeit Dimension 3 |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016556898&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
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