Proceedings of the Summer School Geometric and Topological Methods for Quantum Field Theory :: Villa de Leyva, Colombia, 9-27 July 2001 /
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 in...
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| Format: | Elektronisch Tagungsbericht E-Book |
| Sprache: | English |
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Singapore ; River Edge, N.J. :
World Scientific,
©2003.
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| Online-Zugang: | Volltext |
| Zusammenfassung: | 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. |
| Beschreibung: | 1 online resource (482 pages) : illustrations |
| Bibliographie: | Includes bibliographical references. |
| ISBN: | 9789812705068 9812705066 |
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| 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. |
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| spelling | Summer School Geometric and Topological Methods for Quantum Field Theory (Leiva, Boyacá, Colombia) http://id.loc.gov/authorities/names/no2003071020 Proceedings of the Summer School Geometric and Topological Methods for Quantum Field Theory : Villa de Leyva, Colombia, 9-27 July 2001 / editors, Alexander Cardona, Sylvie Paycha, Hernan Ocampo. Geometric and topological methods for quantum field theory Singapore ; River Edge, N.J. : World Scientific, ©2003. 1 online resource (482 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Includes bibliographical references. Print version record. 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. 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. Quantum field theory Congresses. Algebraic topology Congresses. Geometry, Algebraic Congresses. Théorie quantique des champs Congrès. Topologie algébrique Congrès. Géométrie algébrique Congrès. SCIENCE Waves & Wave Mechanics. bisacsh Algebraic topology fast Geometry, Algebraic fast Quantum field theory fast Teoria quântica de campo (congressos) larpcal Mecânica quântica (congressos) larpcal C* álgebras (congressos) larpcal Conference papers and proceedings fast Ocampo, Hernan. Paycha, Sylvie. Cardona, Alexander. has work: Proceedings of the Summer School Geometric and Topological Methods for Quantum Field Theory (Text) https://id.oclc.org/worldcat/entity/E39PD36qvrjFcy3FV4hCG7gh73 https://id.oclc.org/worldcat/ontology/hasWork 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 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=514331 Volltext |
| spellingShingle | Proceedings of the Summer School Geometric and Topological Methods for Quantum Field Theory : Villa de Leyva, Colombia, 9-27 July 2001 / 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. Quantum field theory Congresses. Algebraic topology Congresses. Geometry, Algebraic Congresses. Théorie quantique des champs Congrès. Topologie algébrique Congrès. Géométrie algébrique Congrès. SCIENCE Waves & Wave Mechanics. bisacsh Algebraic topology fast Geometry, Algebraic fast Quantum field theory fast Teoria quântica de campo (congressos) larpcal Mecânica quântica (congressos) larpcal C* álgebras (congressos) larpcal |
| title | Proceedings of the Summer School Geometric and Topological Methods for Quantum Field Theory : Villa de Leyva, Colombia, 9-27 July 2001 / |
| title_alt | Geometric and topological methods for quantum field theory |
| title_auth | Proceedings of the Summer School Geometric and Topological Methods for Quantum Field Theory : Villa de Leyva, Colombia, 9-27 July 2001 / |
| title_exact_search | Proceedings of the Summer School Geometric and Topological Methods for Quantum Field Theory : Villa de Leyva, Colombia, 9-27 July 2001 / |
| title_full | Proceedings of the Summer School Geometric and Topological Methods for Quantum Field Theory : Villa de Leyva, Colombia, 9-27 July 2001 / editors, Alexander Cardona, Sylvie Paycha, Hernan Ocampo. |
| title_fullStr | Proceedings of the Summer School Geometric and Topological Methods for Quantum Field Theory : Villa de Leyva, Colombia, 9-27 July 2001 / editors, Alexander Cardona, Sylvie Paycha, Hernan Ocampo. |
| title_full_unstemmed | Proceedings of the Summer School Geometric and Topological Methods for Quantum Field Theory : Villa de Leyva, Colombia, 9-27 July 2001 / editors, Alexander Cardona, Sylvie Paycha, Hernan Ocampo. |
| title_short | Proceedings of the Summer School Geometric and Topological Methods for Quantum Field Theory : |
| title_sort | proceedings of the summer school geometric and topological methods for quantum field theory villa de leyva colombia 9 27 july 2001 |
| title_sub | Villa de Leyva, Colombia, 9-27 July 2001 / |
| topic | Quantum field theory Congresses. Algebraic topology Congresses. Geometry, Algebraic Congresses. Théorie quantique des champs Congrès. Topologie algébrique Congrès. Géométrie algébrique Congrès. SCIENCE Waves & Wave Mechanics. bisacsh Algebraic topology fast Geometry, Algebraic fast Quantum field theory fast Teoria quântica de campo (congressos) larpcal Mecânica quântica (congressos) larpcal C* álgebras (congressos) larpcal |
| topic_facet | Quantum field theory Congresses. Algebraic topology Congresses. Geometry, Algebraic Congresses. Théorie quantique des champs Congrès. Topologie algébrique Congrès. Géométrie algébrique Congrès. SCIENCE Waves & Wave Mechanics. Algebraic topology Geometry, Algebraic Quantum field theory Teoria quântica de campo (congressos) Mecânica quântica (congressos) C* álgebras (congressos) Conference papers and proceedings |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=514331 |
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