New Results in Topological Field Theory and Abelian Gauge Theory

Abstract

These are the lecture notes of a set of lectures delivered at the 1995 Trieste summer school in June. I review some recent work on duality in four dimensional Maxwell theory on arbitrary four manifolds, as well as a new set of topological invariants known as the Seiberg-Witten invariants. Much of the necessary background material is given, including a crash course in topological field theory, cohomology of manifolds, topological gauge theory and the rudiments of four manifold theory. My main hope is to wet the readers appetite, so that he or she will wish to read the original works and perhaps to enter this field.

57 pages; hard copies of figures are available on request from "[email protected]"

References in corpus (5)

• Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory
• Two Dimensional Gauge Theories Revisited
• The Mathai-Quillen Formalism and Topological Field Theory
• Lectures on Seiberg-Witten Invariants
• Notes on Seiberg-Witten Gauge Theory

Cited by in corpus (5)

• Duality in Topological Quantum Field Theories
• Abelian instantons over the Chen-Teo AF geometry
• BF systems on graph cobordisms as topological cosmology
• Non-Abelian monopole equations with zero curvature and self-dual Yang-Mills theories
• On the Relationship between the Rozansky-Witten and the 3-Dimensional Seiberg-Witten Invariants