Lectures on Seiberg-Witten Invariants [electronic resource] / by John D. Moore

Author	Moore, John D. author
Title	Lectures on Seiberg-Witten Invariants [electronic resource] / by John D. Moore
Imprint	Berlin, Heidelberg : Springer Berlin Heidelberg, 1996
Connect to	http://dx.doi.org/10.1007/BFb0092948
Descript	VII, 112 p. online resource

SUMMARY

In the fall of 1994, Edward Witten proposed a set of equations which give the main results of Donaldson theory in a far simpler way than had been thought possible. The purpose of these notes is to provide an elementary introduction to the equations that Witten proposed. They are directed towards graduate students who have already taken a basic course in differential geometry and topology

CONTENT

Preliminaries -- Spin geometry on four-manifolds -- Global analysis of the Seiberg-Witten equations

Mathematics Algebra Global analysis (Mathematics) Manifolds (Mathematics) System theory Differential geometry Calculus of variations Statistical physics Dynamical systems Mathematics Global Analysis and Analysis on Manifolds Systems Theory Control Calculus of Variations and Optimal Control; Optimization Algebra Differential Geometry Statistical Physics Dynamical Systems and Complexity