Topological quantum field theory and four manifolds labastida jose marino marcos
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Topological Quantum Field Theories in Four Dimensions 58 5. Topological Quantum Field Theories in Four Dimensions 58 5. It also provides an introduction to supersymmetry. A local model for the moduli space 19 2. The Mathai-Quillen formalism for theories with gauge symmetry 102 6.

The Seiberg-Witten invariants 32 3. For both groups it should be a good point of entry to the literature. Extensions of Donaldson-Witten theory 72 5. Applications to the geography of four-manifolds 177 10. Sl 2,Z duality of the e.

A detailed example 88 6. 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. Furthermore, the book presents some of the recent developments that have led to important applications in the context of the topology of four manifolds. 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. Some Applications of the u-plane Integral 154 9. The Seiberg-Witten invariants 32 3. The exact solution of Seiberg and Witten 123 7.

A detailed example 88 6. 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. For both groups it should be a good point of entry to the literature. It provides a full account of Witten's magic formula relating Donaldson and Seiberg-Witten invariants. The Seiberg-Witten contribution 157 9.

The exact solution of Seiberg and Witten 123 7. Table of Contents Preface vii 1. Graduate students, post-docs and junior faculty interested in the interaction of physics and mathematics. The Theory of Seiberg-Witten Invariants 31 3. Spinors in Four Dimensions 204 Appendix B.

The Seiberg-Witten solution in terms of modular forms 129 8. Final form for the u-plane integral 144 8. Some Applications of the u-plane Integral 154 9. Furthermore, the book presents some of the recent developments that have led to important applications in the context of the topology of four manifolds. Spinors in Four Dimensions 204 Appendix B.

Although the most striking results have appeared on the mathema- calside, theoreticalphysicshasclearlyalsobene? The Seiberg-Witten equations 31 3. The intersection form 2 1. Further Developments in Donaldson-Witten Theory 170 10. Supersymmetry in Four Dimensions 39 4. The Seiberg-Witten contribution 157 9.

More formulae for Donaldson invariants 170 10. The Seiberg-Witten solution in terms of modular forms 129 8. More formulae for Donaldson invariants 170 10. The E-mail message field is required. A local model for the moduli space 19 2.

Yang-Mills theory on a four-manifold 12 2. Graduate students, post-docs and junior faculty interested in the interaction of physics and mathematics. Subject: Mathematical Manifolds Subject: Physics-Math Subject: Differential geometry Subject: Supersymmetry. It provides a full account of Witten's magic formula relating Donaldson and Seiberg-Witten invariants. Final form for the u-plane integral 144 8.

The u-plane Integral 133 8. Basic properties of topological quantum. 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. Abelian monopoles in the Mathai-Quillen formalism 107 7. Topological quantum field theory and four manifolds. Abelian monopoles in the Mathai-Quillen formalism 107 7.