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Orbifolds and stringy topology /
~
Adem, Alejandro,
Orbifolds and stringy topology /
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
杜威分類號:
514.34
書名/作者:
Orbifolds and stringy topology // Alejandro Adem, Johann Leida and Yongbin Ruan.
其他題名:
Orbifolds & Stringy Topology
作者:
Adem, Alejandro,
其他作者:
Leida, Johann,
面頁冊數:
1 online resource (xi, 149 pages) : : digital, PDF file(s).
附註:
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
標題:
Orbifolds.
標題:
Homology theory.
標題:
Quantum theory.
標題:
String models.
標題:
Topology.
ISBN:
9780511543081 (ebook)
內容註:
Foundations -- Cohomology, bundles and morphisms -- Orbifold K-theory -- Chen-Ruan cohomology -- Calculating Chen-Ruan cohomology.
摘要、提要註:
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.
電子資源:
http://dx.doi.org/10.1017/CBO9780511543081
Orbifolds and stringy topology /
Adem, Alejandro,
Orbifolds and stringy topology /
Orbifolds & Stringy TopologyAlejandro Adem, Johann Leida and Yongbin Ruan. - 1 online resource (xi, 149 pages) :digital, PDF file(s). - Cambridge tracts in mathematics ;171. - Cambridge tracts in mathematics ;169..
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
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.
ISBN: 9780511543081 (ebook)Subjects--Topical Terms:
643503
Orbifolds.
LC Class. No.: QA613 / .A424 2007
Dewey Class. No.: 514.34
Orbifolds and stringy topology /
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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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http://dx.doi.org/10.1017/CBO9780511543081
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