000 01837 a2200265 4500
008 220820b |||||||| |||| 00| 0 eng d
020 _a9780521870047
082 _a514.34
_bADE
100 _aAdem, Alejandro
245 _aOrbifolds and stringy topology
260 _bCambridge University Press,
_c2007.
_aCambridge:
300 _axi, 149p.;
_bhbk;
_c24cm.
440 _aCambridge tracts in mathematics, no. 171
504 _aIncludes references and index
520 _aAn 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. https://www.cambridge.org/core/books/orbifolds-and-stringy-topology/677A8058E1D88669C8EE85FF2442CFCD#fndtn-information
650 _aOrbifolds
650 _aTopology
650 _aQuantum theory
650 _aString models
650 _aHomology theory
650 _aManifolds--Mathematics
700 _aLeida, Johann
_eCo-author
700 _aRuan, Yongbin
_eCo-author
942 _2ddc
_cTD
999 _c56662
_d56662