Topological Quantum Field Theory and Four Manifolds

• Main Authors: Labastida, Jose (Author), Marino, Marcos (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Dordrecht : Springer Netherlands, 2005.
• Series: Mathematical Physics Studies ; 25
• Subjects: Physics.; Differential geometry.; Topology.; Theoretical, Mathematical and Computational Physics.; Differential Geometry.

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...

Table of Contents:

• 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.