Orbifolds and stringy topology:
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge ; New York ; Melbourne , Madrid ; Cap Town ; Singapore ; São Paulo ; Delhi ; Dubai ; Tokyo ; Mexiko City
Cambridge University Press
2007
|
| Edition: | 1. publ. |
| Series: | Cambridge tracts in mathematics
171 |
| Subjects: | |
| Online Access: | Contributor biographical information Publisher description Table of contents only Table of contents Inhaltsverzeichnis |
| Physical Description: | xi, 149 Seiten 24 cm |
| ISBN: | 0521870046 9780521870047 |
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MARC
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Record in the Search Index
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| adam_text | Contents
Introduction poge
vii
1
Foundations
1
1.1
Classical effective orbifolds
1
1.2
Examples
5
1.3
Comparing orbifolds to manifolds
10
1.4
Groupoids
15
1.5
Orbifolds as singular spaces
28
2
Cohomology, bundles and morphisms
32
2.1
De
Rharn and singular cohomology of orbifolds
32
2.2
The orbifold fundamental group and covering spaces
39
2.3
Orbifold vector bundles and principal bundles
44
2.4
Orbifold morphisms
47
2.5
Classification of orbifold morphisms
50
3
Orbifold K-theory
56
3.1
Introduction
56
3.2
Orbifolds, group actions, and Bredon cohomology
57
3.3
Orbifold bundles and equivariant K-theory
60
3.4
A decomposition for orbifold K-theory
63
3.5
Projective
representations, twisted group algebras,
and extensions
69
3.6
Twisted equivariant K-theory
72
3.7
Twisted orbifold K-theory and twisted Bredon
cohomology
76
Contents
4
Chen-Ruan cohomology
78
4.1
Twisted sectors
80
4.2
Degree shifting and
Poincaré
pairing
84
4.3
Cup product
88
4.4
Some elementary examples
95
4.5
Chen—Ruan cohomology twisted by a discrete torsion
98
5
Calculating Chen-Ruan cohomology
105
5.1
Abelian orbifolds
105
5.2
Symmetric products
115
References
138
Index
146
|
| adam_txt |
Contents
Introduction poge
vii
1
Foundations
1
1.1
Classical effective orbifolds
1
1.2
Examples
5
1.3
Comparing orbifolds to manifolds
10
1.4
Groupoids
15
1.5
Orbifolds as singular spaces
28
2
Cohomology, bundles and morphisms
32
2.1
De
Rharn and singular cohomology of orbifolds
32
2.2
The orbifold fundamental group and covering spaces
39
2.3
Orbifold vector bundles and principal bundles
44
2.4
Orbifold morphisms
47
2.5
Classification of orbifold morphisms
50
3
Orbifold K-theory
56
3.1
Introduction
56
3.2
Orbifolds, group actions, and Bredon cohomology
57
3.3
Orbifold bundles and equivariant K-theory
60
3.4
A decomposition for orbifold K-theory
63
3.5
Projective
representations, twisted group algebras,
and extensions
69
3.6
Twisted equivariant K-theory
72
3.7
Twisted orbifold K-theory and twisted Bredon
cohomology
76
Contents
4
Chen-Ruan cohomology
78
4.1
Twisted sectors
80
4.2
Degree shifting and
Poincaré
pairing
84
4.3
Cup product
88
4.4
Some elementary examples
95
4.5
Chen—Ruan cohomology twisted by a discrete torsion
98
5
Calculating Chen-Ruan cohomology
105
5.1
Abelian orbifolds
105
5.2
Symmetric products
115
References
138
Index
146 |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
| author | Adem, Alejandro 1961- Leida, Johann Ruan, Yongbin 1963- |
| author_GND | (DE-588)113949790 (DE-588)140967656 (DE-588)1239741170 |
| author_facet | Adem, Alejandro 1961- Leida, Johann Ruan, Yongbin 1963- |
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| author_sort | Adem, Alejandro 1961- |
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| dewey-ones | 514 - Topology |
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| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| edition | 1. publ. |
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| id | DE-604.BV023281590 |
| illustrated | Not Illustrated |
| index_date | 2024-07-02T20:39:55Z |
| indexdate | 2024-07-09T21:14:52Z |
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| isbn | 0521870046 9780521870047 |
| language | English |
| lccn | 2007279677 |
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| physical | xi, 149 Seiten 24 cm |
| publishDate | 2007 |
| publishDateSearch | 2007 |
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| series | Cambridge tracts in mathematics |
| series2 | Cambridge tracts in mathematics |
| spelling | Adem, Alejandro 1961- Verfasser (DE-588)113949790 aut Orbifolds and stringy topology Alejandro Adem (University of British Columbia), Johann Leida (University of Wisconsin), Yongbin Ruan (University of Michigan) 1. publ. Cambridge ; New York ; Melbourne , Madrid ; Cap Town ; Singapore ; São Paulo ; Delhi ; Dubai ; Tokyo ; Mexiko City Cambridge University Press 2007 © 2007 xi, 149 Seiten 24 cm txt rdacontent n rdamedia nc rdacarrier Cambridge tracts in mathematics 171 Manifolds (Mathematics) Orbifolds Topology Orbifaltigkeit (DE-588)4667606-5 gnd rswk-swf Mannigfaltigkeit (DE-588)4037379-4 gnd rswk-swf Topologie (DE-588)4060425-1 gnd rswk-swf Mannigfaltigkeit (DE-588)4037379-4 s Orbifaltigkeit (DE-588)4667606-5 s Topologie (DE-588)4060425-1 s DE-604 Leida, Johann Verfasser (DE-588)140967656 aut Ruan, Yongbin 1963- Verfasser (DE-588)1239741170 aut Erscheint auch als Online-Ausgabe 9780511543081 Cambridge tracts in mathematics 171 (DE-604)BV000000001 171 http://www.loc.gov/catdir/enhancements/fy0803/2007279677-b.html Contributor biographical information http://www.loc.gov/catdir/enhancements/fy0803/2007279677-d.html Publisher description http://www.loc.gov/catdir/enhancements/fy0803/2007279677-t.html Table of contents only http://www.loc.gov/catdir/toc/fy0801/2007279677.html Table of contents Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016466385&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Adem, Alejandro 1961- Leida, Johann Ruan, Yongbin 1963- Orbifolds and stringy topology Cambridge tracts in mathematics Manifolds (Mathematics) Orbifolds Topology Orbifaltigkeit (DE-588)4667606-5 gnd Mannigfaltigkeit (DE-588)4037379-4 gnd Topologie (DE-588)4060425-1 gnd |
| subject_GND | (DE-588)4667606-5 (DE-588)4037379-4 (DE-588)4060425-1 |
| title | Orbifolds and stringy topology |
| title_auth | Orbifolds and stringy topology |
| title_exact_search | Orbifolds and stringy topology |
| title_exact_search_txtP | Orbifolds and stringy topology |
| title_full | Orbifolds and stringy topology Alejandro Adem (University of British Columbia), Johann Leida (University of Wisconsin), Yongbin Ruan (University of Michigan) |
| title_fullStr | Orbifolds and stringy topology Alejandro Adem (University of British Columbia), Johann Leida (University of Wisconsin), Yongbin Ruan (University of Michigan) |
| title_full_unstemmed | Orbifolds and stringy topology Alejandro Adem (University of British Columbia), Johann Leida (University of Wisconsin), Yongbin Ruan (University of Michigan) |
| title_short | Orbifolds and stringy topology |
| title_sort | orbifolds and stringy topology |
| topic | Manifolds (Mathematics) Orbifolds Topology Orbifaltigkeit (DE-588)4667606-5 gnd Mannigfaltigkeit (DE-588)4037379-4 gnd Topologie (DE-588)4060425-1 gnd |
| topic_facet | Manifolds (Mathematics) Orbifolds Topology Orbifaltigkeit Mannigfaltigkeit Topologie |
| url | http://www.loc.gov/catdir/enhancements/fy0803/2007279677-b.html http://www.loc.gov/catdir/enhancements/fy0803/2007279677-d.html http://www.loc.gov/catdir/enhancements/fy0803/2007279677-t.html http://www.loc.gov/catdir/toc/fy0801/2007279677.html http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016466385&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000000001 |
| work_keys_str_mv | AT ademalejandro orbifoldsandstringytopology AT leidajohann orbifoldsandstringytopology AT ruanyongbin orbifoldsandstringytopology |