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Geometric and Topological Methods for Quantum Field Theory
Edited by: S. Paycha, Université Blaise Pascal, Aubière, Cedex, France, and B. Uribe, Universidad de Los Andes, Bogatá, Columbia
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Contemporary Mathematics
2007; 255 pp; softcover
Volume: 434
ISBN-10: 0-8218-4062-2
ISBN-13: 978-0-8218-4062-7
List Price: US$81
Member Price: US$64.80
Order Code: CONM/434
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This volume, based on lectures and short communications at a summer school in Villa de Leyva, Colombia (July 2005), offers an introduction to some recent developments in several active topics at the interface between geometry, topology and quantum field theory. It is aimed at graduate students in physics or mathematics who might want insight in the following topics (covered in five survey lectures):

  • Anomalies and noncommutative geometry,
  • Deformation quantisation and Poisson algebras,
  • Topological quantum field theory and orbifolds.

These lectures are followed by nine articles on various topics at the borderline of mathematics and physics ranging from quasicrystals to invariant instantons through black holes, and involving a number of mathematical tools borrowed from geometry, algebra and analysis.

Readership

Graduate students and research mathematicians interested in topological and geometric method in quantum field theory.

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