Orbifolds and stringy topology

By:

Adem, Alejandro

Contributor(s):

Series: Cambridge tracts in mathematics, no. 171Publication details: Cambridge University Press, 2007. Cambridge:Description: xi, 149p.; hbk; 24cmISBN:

9780521870047

Subject(s):

DDC classification:

514.34 ADE

Summary: 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. https://www.cambridge.org/core/books/orbifolds-and-stringy-topology/677A8058E1D88669C8EE85FF2442CFCD#fndtn-information

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Holdings
Item type	Current library	Collection	Call number	Copy number	Status	Date due	Barcode
Books	IIT Gandhinagar	General	514.34 ADE (Browse shelf(Opens below))	1	Available		031757

Includes references and index

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.

https://www.cambridge.org/core/books/orbifolds-and-stringy-topology/677A8058E1D88669C8EE85FF2442CFCD#fndtn-information

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