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.

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Bibliographic Information

Book Title: Lectures on Seiberg-Witten Invariants
Authors: John D. Moore
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/BFb0092948
Publisher: Springer Berlin, Heidelberg
eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 1996
eBook ISBN: 978-3-540-68592-0Published: 14 November 2006
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: VII, 112
Topics: Global Analysis and Analysis on Manifolds, Systems Theory, Control, Calculus of Variations and Optimal Control; Optimization, Algebra, Differential Geometry, Complex Systems

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Table of contents (3 chapters)

Front Matter

Preliminaries

Spin geometry on four-manifolds

Global analysis of the Seiberg-Witten equations

Back Matter

About this book