Symplectic actions of 2-tori on 4-manifolds:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, R.I.
American Math. Soc.
2010
|
| Series: | Memoirs of the American Mathematical Society
959 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Volume 204, number 59 (third of 5 numbers) Literaturverz.: S. 79 - 81 |
| Physical Description: | VII, 81 S. |
| ISBN: | 9780821847138 |
Staff View
MARC
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| 245 | 1 | 0 | |a Symplectic actions of 2-tori on 4-manifolds |c Alvaro Pelayo |
| 264 | 1 | |a Providence, R.I. |b American Math. Soc. |c 2010 | |
| 300 | |a VII, 81 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a Memoirs of the American Mathematical Society |v 959 | |
| 500 | |a Volume 204, number 59 (third of 5 numbers) | ||
| 500 | |a Literaturverz.: S. 79 - 81 | ||
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| 650 | 4 | |a Low-dimensional topology | |
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Record in the Search Index
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| adam_text | Contents
Acknowledgements v
Chapter
1.
Introduction
1
Chapter
2.
The orbit space
5
2.1.
Symplectic form on the T-orbits
5
2.2.
Stabilizer subgroup classification
6
2.3.
Orbifold structure of M/T
8
2.4.
A flat connection for the projection
M
—>
M/T
Ц
2.5.
Symplectic tube theorem
12
Chapter
3.
Global model
15
3.1.
Orbifold coverings of M/T
35
3.2.
Symplectic structure on M/T
16
3.3.
Model of
(Μ, σ):
Definition
17
3.4.
Model of
(Μ, σ):
Proof
ig
Chapter
4.
Global model up to equivariant diffeomorphisms
25
4.1.
Generalization of Kahn s theorem
25
4.2.
Smooth equivariant splittings
25
4.3.
Alternative model
28
Chapter
5.
Classification: Free case
31
5.1.
Monodromy invariant
31
5.2.
Uniqueness
35
5.3.
Existence
38
5.4.
Classification theorem
40
Chapter
6.
Orbifold homology and geometric mappings
43
6.1.
Geometric torsion in homology of orbifolds
43
6.2.
Geometric isomorphisms
44
6.3.
Symplectic and torsion geometric maps
46
6.4.
Geometric isomorphisms: Characterization
46
Chapter
7.
Classification
51
7.1.
Monodromy invariant
51
7.2.
Uniqueness
54
7.3.
Existence
55
7.4.
Classification theorem
59
Chapter
8.
The four-dimensional classification
61
8.1.
Two families of examples
61
iv CONTENTS
8.2.
Classification
statement
62
8.3.
Proof of Theorem
8.2.1 64
8.4.
Corollaries of Theorem
8.2.1 69
Chapter
9.
Appendix: (sometimes symplectic) orbifolds
71
9.1.
Bundles, connections
71
9.2.
Coverings
72
9.3.
Differential and symplectic forms
75
9.4.
Orbifold homology, Hurewicz map
75
9.5.
Classification of orbisurfaces
76
Bibliography
79
|
| any_adam_object | 1 |
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| dewey-full | 516.3/62 |
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| dewey-ones | 516 - Geometry |
| dewey-raw | 516.3/62 |
| dewey-search | 516.3/62 |
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| dewey-tens | 510 - Mathematics |
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| id | DE-604.BV036084698 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T22:11:12Z |
| institution | BVB |
| isbn | 9780821847138 |
| language | English |
| lccn | 2009049943 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-018975683 |
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| physical | VII, 81 S. |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | American Math. Soc. |
| record_format | marc |
| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spelling | Pelayo, Alvaro 1978- Verfasser (DE-588)140795235 aut Symplectic actions of 2-tori on 4-manifolds Alvaro Pelayo Providence, R.I. American Math. Soc. 2010 VII, 81 S. txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society 959 Volume 204, number 59 (third of 5 numbers) Literaturverz.: S. 79 - 81 Symplectic manifolds Low-dimensional topology Torus (Geometry) Symplektische Mannigfaltigkeit (DE-588)4290704-4 gnd rswk-swf Torus (DE-588)4185738-0 gnd rswk-swf Niederdimensionale Topologie (DE-588)4280826-1 gnd rswk-swf Symplektische Mannigfaltigkeit (DE-588)4290704-4 s Niederdimensionale Topologie (DE-588)4280826-1 s Torus (DE-588)4185738-0 s DE-604 Memoirs of the American Mathematical Society 959 (DE-604)BV008000141 959 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018975683&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Pelayo, Alvaro 1978- Symplectic actions of 2-tori on 4-manifolds Memoirs of the American Mathematical Society Symplectic manifolds Low-dimensional topology Torus (Geometry) Symplektische Mannigfaltigkeit (DE-588)4290704-4 gnd Torus (DE-588)4185738-0 gnd Niederdimensionale Topologie (DE-588)4280826-1 gnd |
| subject_GND | (DE-588)4290704-4 (DE-588)4185738-0 (DE-588)4280826-1 |
| title | Symplectic actions of 2-tori on 4-manifolds |
| title_auth | Symplectic actions of 2-tori on 4-manifolds |
| title_exact_search | Symplectic actions of 2-tori on 4-manifolds |
| title_full | Symplectic actions of 2-tori on 4-manifolds Alvaro Pelayo |
| title_fullStr | Symplectic actions of 2-tori on 4-manifolds Alvaro Pelayo |
| title_full_unstemmed | Symplectic actions of 2-tori on 4-manifolds Alvaro Pelayo |
| title_short | Symplectic actions of 2-tori on 4-manifolds |
| title_sort | symplectic actions of 2 tori on 4 manifolds |
| topic | Symplectic manifolds Low-dimensional topology Torus (Geometry) Symplektische Mannigfaltigkeit (DE-588)4290704-4 gnd Torus (DE-588)4185738-0 gnd Niederdimensionale Topologie (DE-588)4280826-1 gnd |
| topic_facet | Symplectic manifolds Low-dimensional topology Torus (Geometry) Symplektische Mannigfaltigkeit Torus Niederdimensionale Topologie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018975683&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT pelayoalvaro symplecticactionsof2torion4manifolds |