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Geometric and Topological Methods for Quantum Field Theory (Lecture Notes in Physics, 668) - Softcover
Synopsis
This volume offers an introduction, in the form of four extensive lectures, to some recent developments in several active topics at the interface between geometry, topology and quantum field theory. The first lecture is by Christine Lescop on knot invariants and configuration spaces, in which a universal finite-type invariant for knots is constructed as a series of integrals over configuration spaces. This is followed by the contribution of Raimar Wulkenhaar on Euclidean quantum field theory from a statistical point of view. The author also discusses possible renormalization techniques on noncommutative spaces. The third lecture is by Anamaria Font and Stefan Theisen on string compactification with unbroken supersymmetry. The authors show that this requirement leads to internal spaces of special holonomy and describe Calabi-Yau manifolds in detail. The last lecture, by Thierry Fack, is devoted to a K-theory proof of the Atiyah-Singer index theorem and discusses some applications of K-theory to noncommutative geometry. These lectures notes, which are aimed in particular at graduate students in physics and mathematics, start with introductory material before presenting more advanced results. Each chapter is self-contained and can be read independently.
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Book Description
Aimed at graduate students in physics and mathematics, this book provides an introduction to recent developments in several active topics, including geometric topology, quantum cohomology and noncommutative geometry. It also explores a wide spectrum of topics on the borderline of mathematics and physics.
About the Author
Hernán Ocampo is a Professor of Theoretical Physics at the University del Valle, Colombia.
"About this title" may belong to another edition of this title.
- PublisherSpringer
- Publication date2010
- ISBN 10 3642063519
- ISBN 13 9783642063510
- BindingPaperback
- LanguageEnglish
- Number of pages245
- EditorOcampo Hernan, Paycha Sylvie, Vargas Andrés
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Geometric and Topological Methods for Quantum Field Theory
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Springer Berlin Heidelberg Okt 2010, 2010
ISBN 10: 3642063519
ISBN 13: 9783642063510
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Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This volume offers an introduction, in the form of four extensive lectures, to some recent developments in several active topics at the interface between geometry, topology and quantum field theory. The first lecture is by Christine Lescop on knot invariants and configuration spaces, in which a universal finite-type invariant for knots is constructed as a series of integrals over configuration spaces. This is followed by the contribution of Raimar Wulkenhaar on Euclidean quantum field theory from a statistical point of view. The author also discusses possible renormalization techniques on noncommutative spaces. The third lecture is by Anamaria Font and Stefan Theisen on string compactification with unbroken supersymmetry. The authors show that this requirement leads to internal spaces of special holonomy and describe Calabi-Yau manifolds in detail. The last lecture, by Thierry Fack, is devoted to a K-theory proof of the Atiyah-Singer index theorem and discusses some applications of K-theory to noncommutative geometry. These lectures notes, which are aimed in particular at graduate students in physics and mathematics, start with introductory material before presenting more advanced results. Each chapter is self-contained and can be read independently. 248 pp. Englisch. Seller Inventory # 9783642063510
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Geometric and Topological Methods for Quantum Field Theory
Published by
Springer Berlin Heidelberg, 2010
ISBN 10: 3642063519
ISBN 13: 9783642063510
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This volume offers an introduction, in the form of four extensive lectures, to some recent developments in several active topics at the interface between geometry, topology and quantum field theory. The first lecture is by Christine Lescop on knot invari. Seller Inventory # 5045462
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Geometric and Topological Methods for Quantum Field Theory (Lecture Notes in Physics (668))
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