Topological quantum field theory and four manifolds
 Author/Creator
 Labastida, José M. F.
 Language
 English.
 Imprint
 Dordrecht ; London : Springer, 2005.
 Physical description
 222 p. :ill. ; 25 cm.
 Series
 Mathematical physics studies ; v. 25.
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QC174.45 .L325 2005

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QC174.45 .L325 2005
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Contributors
 Contributor
 Marino, Marcos.
Contents/Summary
 Bibliography
 Includes bibliographical references.
 Contents

 From the contents:Topological Aspects of FourManifolds. The Theory of Donaldson Invariants. The Theory of Seiberg?Witten Invariants. Supersymmetry in Four Dimensions. Topological Quantum Field Theories in Four Dimensions. The MathaiQuillen Formalism. The SeibergWitten Solution of N = 2 SUSY Yang?Mills Theory. The uplane Integral. Some Applications of the uplane Integral. Further Developments in DonaldsonWitten Theory. Appendix A. Spinors in Four Dimensions. Appendix B. Elliptic Functions and Modular Forms. Bibliography.
 (source: Nielsen Book Data)
 Publisher's Summary
 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 SeibergWitten 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 Witten's magic formula relating Donaldson and SeibergWitten 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.
(source: Nielsen Book Data)  Supplemental links
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Subjects
Bibliographic information
 Publication date
 2005
 Responsibility
 J. Labastida, M. Marino.
 Series
 Mathematical physics studies ; 25
 ISBN
 1402030584
 1402031777
 9781402030581
 9781402031779