Orbifolds and stringy topology:
An introduction to the theory of orbifolds from a modern perspective, combining techniques from geometry, algebraic topology and algebraic geometry. One of the main motivations, and a major source of examples, is string theory, where orbifolds play an important role. The subject is first developed f...
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2007
|
| Series: | Cambridge tracts in mathematics
171 |
| Subjects: | |
| Online Access: | BSB01 FHN01 UBR01 Volltext |
| Summary: | An introduction to the theory of orbifolds from a modern perspective, combining techniques from geometry, algebraic topology and algebraic geometry. One of the main motivations, and a major source of examples, is string theory, where orbifolds play an important role. The subject is first developed following the classical description analogous to manifold theory, after which the book branches out to include the useful description of orbifolds provided by groupoids, as well as many examples in the context of algebraic geometry. Classical invariants such as de Rham cohomology and bundle theory are developed, a careful study of orbifold morphisms is provided, and the topic of orbifold K-theory is covered. The heart of this book, however, is a detailed description of the Chen-Ruan cohomology, which introduces a product for orbifolds and has had significant impact. The final chapter includes explicit computations for a number of interesting examples |
| Physical Description: | 1 Online-Ressource (xi, 149 Seiten) |
| ISBN: | 9780511543081 |
| DOI: | 10.1017/CBO9780511543081 |
Staff View
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| 520 | |a An introduction to the theory of orbifolds from a modern perspective, combining techniques from geometry, algebraic topology and algebraic geometry. One of the main motivations, and a major source of examples, is string theory, where orbifolds play an important role. The subject is first developed following the classical description analogous to manifold theory, after which the book branches out to include the useful description of orbifolds provided by groupoids, as well as many examples in the context of algebraic geometry. Classical invariants such as de Rham cohomology and bundle theory are developed, a careful study of orbifold morphisms is provided, and the topic of orbifold K-theory is covered. The heart of this book, however, is a detailed description of the Chen-Ruan cohomology, which introduces a product for orbifolds and has had significant impact. The final chapter includes explicit computations for a number of interesting examples | ||
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| 650 | 4 | |a Orbifolds | |
| 650 | 4 | |a Homology theory | |
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Record in the Search Index
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| any_adam_object | |
| author | Adem, Alejandro 1961- |
| author_GND | (DE-588)113949790 (DE-588)140967656 (DE-588)140967664 |
| author_facet | Adem, Alejandro 1961- |
| author_role | aut |
| author_sort | Adem, Alejandro 1961- |
| author_variant | a a aa |
| building | Verbundindex |
| bvnumber | BV043942123 |
| classification_rvk | SK 340 |
| collection | ZDB-20-CBO |
| contents | Foundations -- Cohomology, bundles and morphisms -- Orbifold K-theory -- Chen-Ruan cohomology -- Calculating Chen-Ruan cohomology |
| ctrlnum | (ZDB-20-CBO)CR9780511543081 (OCoLC)850628816 (DE-599)BVBBV043942123 |
| dewey-full | 514.34 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514.34 |
| dewey-search | 514.34 |
| dewey-sort | 3514.34 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511543081 |
| format | Electronic eBook |
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| id | DE-604.BV043942123 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:17Z |
| institution | BVB |
| isbn | 9780511543081 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029351093 |
| oclc_num | 850628816 |
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| owner_facet | DE-12 DE-92 DE-355 DE-BY-UBR |
| physical | 1 Online-Ressource (xi, 149 Seiten) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO ZDB-20-CBO UBR Einzelkauf (Lückenergänzung CUP Serien 2018) |
| publishDate | 2007 |
| publishDateSearch | 2007 |
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| publisher | Cambridge University Press |
| record_format | marc |
| series2 | Cambridge tracts in mathematics |
| spelling | Adem, Alejandro 1961- Verfasser (DE-588)113949790 aut Orbifolds and stringy topology Alejandro Adem, Johann Leida and Yongbin Ruan Orbifolds & Stringy Topology Cambridge Cambridge University Press 2007 1 Online-Ressource (xi, 149 Seiten) txt rdacontent c rdamedia cr rdacarrier Cambridge tracts in mathematics 171 Foundations -- Cohomology, bundles and morphisms -- Orbifold K-theory -- Chen-Ruan cohomology -- Calculating Chen-Ruan cohomology An introduction to the theory of orbifolds from a modern perspective, combining techniques from geometry, algebraic topology and algebraic geometry. One of the main motivations, and a major source of examples, is string theory, where orbifolds play an important role. The subject is first developed following the classical description analogous to manifold theory, after which the book branches out to include the useful description of orbifolds provided by groupoids, as well as many examples in the context of algebraic geometry. Classical invariants such as de Rham cohomology and bundle theory are developed, a careful study of orbifold morphisms is provided, and the topic of orbifold K-theory is covered. The heart of this book, however, is a detailed description of the Chen-Ruan cohomology, which introduces a product for orbifolds and has had significant impact. The final chapter includes explicit computations for a number of interesting examples Quantentheorie Orbifolds Homology theory Quantum theory String models 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 Sonstige (DE-588)140967656 oth Ruan, Yongbin Sonstige (DE-588)140967664 oth Erscheint auch als Druck-Ausgabe 978-0-521-87004-7 https://doi.org/10.1017/CBO9780511543081 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Adem, Alejandro 1961- Orbifolds and stringy topology Foundations -- Cohomology, bundles and morphisms -- Orbifold K-theory -- Chen-Ruan cohomology -- Calculating Chen-Ruan cohomology Quantentheorie Orbifolds Homology theory Quantum theory String models 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_alt | Orbifolds & Stringy Topology |
| title_auth | Orbifolds and stringy topology |
| title_exact_search | Orbifolds and stringy topology |
| title_full | Orbifolds and stringy topology Alejandro Adem, Johann Leida and Yongbin Ruan |
| title_fullStr | Orbifolds and stringy topology Alejandro Adem, Johann Leida and Yongbin Ruan |
| title_full_unstemmed | Orbifolds and stringy topology Alejandro Adem, Johann Leida and Yongbin Ruan |
| title_short | Orbifolds and stringy topology |
| title_sort | orbifolds and stringy topology |
| topic | Quantentheorie Orbifolds Homology theory Quantum theory String models Topology Orbifaltigkeit (DE-588)4667606-5 gnd Mannigfaltigkeit (DE-588)4037379-4 gnd Topologie (DE-588)4060425-1 gnd |
| topic_facet | Quantentheorie Orbifolds Homology theory Quantum theory String models Topology Orbifaltigkeit Mannigfaltigkeit Topologie |
| url | https://doi.org/10.1017/CBO9780511543081 |
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