Orbifolds and Stringy Topology
by Alejandro Adem (9780521870047)

Orbifolds and Stringy Topology
 
Alejandro Adem
Release Date: 31 May 2007
Format: Hardback
Pages: 149
Category: Topology
ISBN: 9780521870047
ISBN-10: 0521870046



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.

AUD $120.00

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