TY  - BOOK
AU  - Adem,Alejandro
AU  - Leida,Johann
AU  - Ruan,Yongbin
TI  - Orbifolds and stringy topology
T2  - Cambridge tracts in mathematics
SN  - 9780511543081 (ebook)
AV  - QA613 .A424 2007
U1  - 514.34 22
PY  - 2007///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Orbifolds
KW  - Homology theory
KW  - Quantum theory
KW  - String models
KW  - Topology
N1  - Title from publisher's bibliographic system (viewed on 05 Oct 2015); Foundations -- Cohomology, bundles and morphisms -- Orbifold K-theory -- Chen-Ruan cohomology -- Calculating Chen-Ruan cohomology
N2  - 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
UR  - https://doi.org/10.1017/CBO9780511543081
ER  -