Topological Quantum Field Theory and Four Manifolds
Seiten
2005
Springer-Verlag New York Inc.
978-1-4020-3058-1 (ISBN)
Springer-Verlag New York Inc.
978-1-4020-3058-1 (ISBN)
Deals with topological quantum field theories and their applications to topological aspects of four manifolds. This book contains a chapter dealing with topological aspects of four manifolds. It also provides an introduction to supersymmetry. It constitutes a useful tool for researchers interested in the basics of topological quantum field theory.
The emergence of topological quantum ?eld theory has been one of the most important breakthroughs which have occurred in the context of ma- ematical physics in the last century, a century characterizedbyindependent developments of the main ideas in both disciplines, physics and mathematics, which has concluded with two decades of strong interaction between them, where physics, as in previous centuries, has acted as a source of new mat- matics. Topological quantum ?eld theories constitute the core of these p- nomena, although the main drivingforce behind it has been the enormous e?ort made in theoretical particle physics to understand string theory as a theory able to unify the four fundamental interactions observed in nature. These theories set up a new realm where both disciplines pro?t from each other. Although the most striking results have appeared on the mathema- calside,theoreticalphysicshasclearlyalsobene?tted,sincethecorresponding developments have helped better to understand aspects of the fundamentals of ?eld and string theory.
The emergence of topological quantum ?eld theory has been one of the most important breakthroughs which have occurred in the context of ma- ematical physics in the last century, a century characterizedbyindependent developments of the main ideas in both disciplines, physics and mathematics, which has concluded with two decades of strong interaction between them, where physics, as in previous centuries, has acted as a source of new mat- matics. Topological quantum ?eld theories constitute the core of these p- nomena, although the main drivingforce behind it has been the enormous e?ort made in theoretical particle physics to understand string theory as a theory able to unify the four fundamental interactions observed in nature. These theories set up a new realm where both disciplines pro?t from each other. Although the most striking results have appeared on the mathema- calside,theoreticalphysicshasclearlyalsobene?tted,sincethecorresponding developments have helped better to understand aspects of the fundamentals of ?eld and string theory.
Topological Aspects of Four-Manifolds.- The Theory of Donaldson Invariants.- The Theory of Seiberg-Witten Invariants.- Supersymmetry in Four Dimensions.- Topological Quantum Field Theories in Four Dimensions.- The Mathai-Quillen Formalism.- The Seiberg-Witten Solution of N = 2 SUSY Yang-Mills Theory.- The u-plane Integral.- Some Applications of the u-plane Integral.- Further Developments in Donaldson—Witten Theory.
Erscheint lt. Verlag | 14.2.2005 |
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Reihe/Serie | Mathematical Physics Studies ; 25 |
Zusatzinfo | X, 224 p. |
Verlagsort | New York, NY |
Sprache | englisch |
Maße | 156 x 232 mm |
Themenwelt | Mathematik / Informatik ► Mathematik ► Geometrie / Topologie |
Naturwissenschaften ► Physik / Astronomie ► Allgemeines / Lexika | |
Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik | |
ISBN-10 | 1-4020-3058-4 / 1402030584 |
ISBN-13 | 978-1-4020-3058-1 / 9781402030581 |
Zustand | Neuware |
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