Orbifolds and Stringy Topology (Cambridge Tracts in Mathematics, Series Number 171)

Orbifolds and Stringy Topology (Cambridge Tracts in Mathematics, Series Number 171) image
ISBN-10:

0521870046

ISBN-13:

9780521870047

Edition: Illustrated
Released: Jun 25, 2007
Format: Hardcover, 164 pages
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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 product for orbifolds and has had significant impact. The final chapter includes explicit computations for a number of interesting examples.

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