Orbifolds and Stringy Topology: Index
Orbifolds and Stringy Topology: Index
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DOI：
10.1017/cbo9780511543081
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发表时间：
2007
期刊：
影响因子：
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通讯作者：
A. Adem;Johann Leida;Y. Ruan
中科院分区：
文献类型：
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作者：
A. Adem;Johann Leida;Y. Ruan
从现代的角度介绍轨道理论，结合几何，代数拓扑和代数几何的技术。其中一个主要的动机，也是例子的主要来源，是弦理论，其中轨道折叠起着重要的作用。这一主题首先是发展以下的经典描述类似流形理论，之后，这本书的分支，包括有用的描述orbifolds所提供的groupoid，以及许多例子的背景下，代数几何。经典的不变量，如德拉姆上同调和丛理论的发展，仔细研究orbifold态射提供，和主题的orbifold K-理论是涵盖。然而，这本书的核心是对陈阮上同调的详细描述，它引入了轨道折叠的乘积，并产生了重大影响。最后一章包括一些有趣的例子的显式计算。
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.