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...

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Bibliographische Detailangaben

1. Verfasser:	Adem, Alejandro 1961- (VerfasserIn)
Format:	Elektronisch E-Book
Sprache:	English
Veröffentlicht:	Cambridge Cambridge University Press 2007
Schriftenreihe:	Cambridge tracts in mathematics 171
Schlagworte:	Quantentheorie Orbifolds Homology theory Quantum theory String models Topology Orbifaltigkeit Mannigfaltigkeit Topologie
Online-Zugang:	BSB01 FHN01 UBR01 Volltext
Zusammenfassung:	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
Beschreibung:	1 Online-Ressource (xi, 149 Seiten)
ISBN:	9780511543081
DOI:	10.1017/CBO9780511543081