ENGLISH

Orbifolds and stringy topology

By Alejandro Adem , Johann Leida , Yongbin Ruan

Book information

Publisher
Cambridge University Press
Year
2007
ISBN
0521870046, 9780521870047, 9780511286766
Open Library ID
OL7767512M
Language
english
Format
PDF
Filesize
1 MB (1069356 bytes)
Series
Cambridge tracts in mathematics 171
Pages
163\163
Library
Kolxo3
Scanned
yes
Time added
2009-07-20 03:45:11

Description

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 new product for orbifolds and has had significant impact in recent years. The final chapter includes explicit computations for a number of interesting examples.

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