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Topological Quantum Field Theory and Four Manifolds
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Title: Topological Quantum Field Theory and Four Manifolds (Mathematical Physics Studies) Authors: Jose Labastida, Marcos Marino Pages: 224 pages Publisher: Springer; 1 edition (April 29, 2005) Language: English ISBN-10: 1402030584 ISBN-13: 978-1402030581 Review “The book is written to be accessible either for physicists who want to know about the topological consequences of supersymmetric quantum field theory, or for mathematicians curious about where the links between Donaldson and Seiberg-Witten theory come from. For both groups it should be a good point of entry to the literature. the authors manage to give an end-to-end treatment of the relation between Donaldson and Seiberg-Witten invariants, including a detailed computation of the formula connecting the two for manifolds of Seiberg-Witten simple type.” (Andrew Neitzke, Mathematical Reviews, Issue 2006 f) Book Description The present book is the first of its kind in dealing with topological quantum field theories and their applications to topological aspects of four manifolds. It is not only unique for this reason but also because it contains sufficient introductory material that it can be read by mathematicians and theoretical physicists. On the one hand, it contains a chapter dealing with topological aspects of four manifolds, on the other hand it provides a full introduction to supersymmetry. The book constitutes an essential tool for researchers interested in the basics of topological quantum field theory, since these theories are introduced in detail from a general point of view. In addition, the book describes Donaldson theory and Seiberg-Witten theory, and provides all the details that have led to the connection between these theories using topological quantum field theory. It provides a full account of Wittens magic formula relating Donaldson and Seiberg-Witten invariants. Furthermore, the book presents some of the recent developments that have led to important applications in the context of the topology of four manifolds. Download (3.76Mb, Type: PDF) http://rs238.rapidshare.com/files/84922204/0700190108.rar Password: physicsbooks.info |
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