Topological Quantum Field Theory and Four Manifolds / Edition 1

Topological Quantum Field Theory and Four Manifolds / Edition 1

ISBN-10:
9048167795
ISBN-13:
9789048167791
Pub. Date:
01/11/2011
Publisher:
Springer Netherlands
ISBN-10:
9048167795
ISBN-13:
9789048167791
Pub. Date:
01/11/2011
Publisher:
Springer Netherlands
Topological Quantum Field Theory and Four Manifolds / Edition 1

Topological Quantum Field Theory and Four Manifolds / Edition 1

$109.99 Current price is , Original price is $109.99. You
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Overview

The emergence of topological quantum field 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 field theories constitute the core of these p- nomena, although the main drivingforce behind it has been the enormous effort 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 profit from each other. Although the most striking results have appeared on the mathema- calside, theoretical physics has clearly also benefitted, since the corresponding developments have helped better to understand aspects of the fundamentals of field and string theory.

Product Details

ISBN-13: 9789048167791
Publisher: Springer Netherlands
Publication date: 01/11/2011
Series: Mathematical Physics Studies , #25
Edition description: Softcover reprint of hardcover 1st ed. 2005
Pages: 224
Product dimensions: 6.30(w) x 9.45(h) x 0.02(d)

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.
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