Geometric and Topological Methods for Quantum Field Theory
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The work Geometric and Topological Methods for Quantum Field Theory represents a distinct intellectual or artistic creation found in University of Manitoba Libraries. This resource is a combination of several types including: Work, Language Material, Books.
The Resource
Geometric and Topological Methods for Quantum Field Theory
Resource Information
The work Geometric and Topological Methods for Quantum Field Theory represents a distinct intellectual or artistic creation found in University of Manitoba Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Geometric and Topological Methods for Quantum Field Theory
 Statement of responsibility
 edited by Hernan Ocampo, Sylvie Paycha, Andrés Vargas
 Language

 eng
 eng
 Summary
 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 finitetype 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 CalabiYau manifolds in detail. The last lecture, by Thierry Fack, is devoted to a Ktheory proof of the AtiyahSinger index theorem and discusses some applications of Ktheory 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 selfcontained and can be read independently
 Dewey number
 530.15
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsedt

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 Image bit depth
 0
 Language note
 English
 LC call number
 QC5.53
 Literary form
 non fiction
 Series statement
 Lecture Notes in Physics,
 Series volume
 668
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