| Description |
1 online resource (482 pages) : illustrations |
| Physical Medium |
polychrome |
| Description |
text file |
| Bibliography |
Includes bibliographical references. |
| Contents |
Lectures. Noncommutative geometry. Hopf algebras in noncommutative geometry / Joseph C. Várilly -- The noncommutative geometry of aperiodic solids / Jean Bellissard -- Noncommutative geometry and abstract integration theory / Moulay-Tahar Benameur -- Topological field theory. Introduction to quantum invariants of 3-manifolds, topological quantum field theories and modular categories / Christian Blanchet -- An introduction to Donaldson-Witten theory / Marcos Mariño -- Supergravity and string theory. (Super)-gravities beyond 4 dimensions / Jorge Zanelli -- Introductory lectures on string theory and the AdS/CFT correspondence / Ari Pankiewicz and Stefan Theisen -- Short communications. Group contractions and its consequences upon representations of different spatial symmetry groups / Mauricio Ayala-Sánchez and Richard W. Haase -- Phase anomalies as trace anomalies in Chern-Simons theory / Alexander Cardona -- Deligne cohomology for orbifolds, discrete torsion and B-fields / Ernesto Lupercio and Bernardo Uribe. |
| Summary |
This volume offers an introduction to recent developments in several active topics of research at the interface between geometry, topology and quantum field theory. These include Hopf algebras underlying renormalization schemes in quantum field theory, noncommutative geometry with applications to index theory on one hand and the study of aperiodic solids on the other, geometry and topology of low dimensional manifolds with applications to topological field theory, Chern-Simons supergravity and the anti de Sitter/conformal field theory correspondence. It comprises seven lectures organized around three main topics, noncommutative geometry, topological field theory, followed by supergravity and string theory, complemented by some short communications by young participants of the school. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Quantum field theory -- Congresses.
|
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Quantum field theory. |
|
Algebraic topology -- Congresses.
|
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Algebraic topology. |
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Geometry, Algebraic -- Congresses.
|
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Geometry, Algebraic. |
| Genre/Form |
Electronic books.
|
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Conference papers and proceedings.
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Conference papers and proceedings.
|
| Added Author |
Ocampo, Hernan.
|
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Paycha, Sylvie.
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Cardona, Alexander.
|
| Spine Title |
Geometric and topological methods for quantum field theory |
| Other Form: |
Print version: Summer School Geometric and Topological Methods for Quantum Field Theory (2001 : Leiva, Boyacá, Colombia). Proceedings of the Summer School Geometric and Topological Methods for Quantum Field Theory. Singapore ; River Edge, N.J. : World Scientific, ©2003 9812381317 (DLC) 2005297684 (OCoLC)52633719 |
| ISBN |
9789812705068 (electronic book) |
|
9812705066 (electronic book) |
|
9812381317 |
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9789812381316 |
|
