Lectures on Seiberg-Witten Invariants

Başlık:

ISBN:

9783540685920

Personal Author:

Moore, John D. author.

Edition:

1st ed. 1996.

Yayın Bilgileri:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1996.

Fiziksel Tanımlama:

VII, 112 p. online resource.

Series:

Lecture Notes in Mathematics, 1629

Contents:

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

Abstract:

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.

Subject Term:

Global analysis (Mathematics).

Manifolds (Mathematics).

System theory.

Control theory.

Mathematical optimization.

Calculus of variations.

Algebra.

Geometry, Differential.

Global Analysis and Analysis on Manifolds.

Systems Theory, Control .

Calculus of Variations and Optimization.