# Topological Quantum Field Theory and Four Manifolds

Part of the Mathematical Physics Studies book series (MPST, volume 25)

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Part of the Mathematical Physics Studies book series (MPST, volume 25)

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 Witten’s 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.

manifold mathematical manifolds quantum physics supersymmetry theoretical physics topological quantum field theory

- DOI https://doi.org/10.1007/1-4020-3177-7
- Copyright Information Springer 2005
- Publisher Name Springer, Dordrecht
- eBook Packages Physics and Astronomy
- Print ISBN 978-1-4020-3058-1
- Online ISBN 978-1-4020-3177-9
- Buy this book on publisher's site