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Geometric and Topological Methods for Quantum Field Theory(English, Paperback, American Mathematical Society) is written by American Mathematical Society and published by American Mathematical Society. It's available with International Standard Book Number or ISBN identification 0821840622 (ISBN 10) and 9780821840627 (ISBN 13).
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.