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Moore, John D.

Lectures on Seiberg-Witten Invariants [electronic resource] / by John D. Moore. - VII, 112 p. online resource. - Lecture Notes in Mathematics, 1629 0075-8434 ; . - Lecture Notes in Mathematics, 1629 .

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

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.

ISBN: 9783540685920

Standard No.: 10.1007/BFb0092948 doi

Subjects--Topical Terms:
Global analysis.
Systems theory.
Mathematical optimization.
Algebra.
Global differential geometry.
Global Analysis and Analysis on Manifolds.
Systems Theory, Control.
Calculus of Variations and Optimal Control; Optimization.
Algebra.
Differential Geometry.
Complex Systems.

LC Class. No.: QA614-614.97

Dewey Class. No.: 514.74