TY - BOOK ID - 66922435 TI - Orbifolds and stringy topology AU - Adem, Alejandro AU - Leida, Johann AU - Ruan, Yongbin PY - 2007 VL - 171 SN - 0521870046 9780521870047 9780511543081 9780511286766 0511286767 0511285280 9780511285288 9780511284465 0511284462 051128604X 9780511286049 0511543085 1107179742 1280910097 9786610910090 0511322348 PB - Cambridge : Cambridge University Press, DB - UniCat KW - Orbifolds. KW - Topology KW - Manifolds (Mathematics) KW - Orbifolds KW - 512.7 KW - 515.14 KW - Analysis situs KW - Position analysis KW - Rubber-sheet geometry KW - Geometry KW - Polyhedra KW - Set theory KW - Algebras, Linear KW - Geometry, Differential KW - 515.14 Algebraic topology KW - Algebraic topology KW - 512.7 Algebraic geometry. Commutative rings and algebras KW - Algebraic geometry. Commutative rings and algebras KW - Topology. KW - Homology theory. KW - Quantum theory. KW - String models. KW - Models, String KW - String theory KW - Nuclear reactions KW - Quantum dynamics KW - Quantum mechanics KW - Quantum physics KW - Physics KW - Mechanics KW - Thermodynamics KW - Cohomology theory KW - Contrahomology theory UR - https://www.unicat.be/uniCat?func=search&query=sysid:66922435 AB - 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. ER -