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Orbifolds and Stringy Topology (Hardcover)
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Orbifolds and Stringy Topology (Hardcover)
Series: Cambridge Tracts in Mathematics
Expected to ship within 12 - 17 working days
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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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