Donaldson Theory
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Donaldson theory is the study of smooth 4-manifolds using gauge theory. It was started by Simon Donaldson (1983) who proved Donaldson''s theorem restricting the possible quadratic forms on the second cohomology group of a compact simply connected 4-manifold. Most of the results of Donaldson theory depend on the manifold having a differential structure, and are false for topological 4-manifolds. Many of the theorems in Donaldson theory can now be proved more easily usi...
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Donaldson theory is the study of smooth 4-manifolds using gauge theory. It was started by Simon Donaldson (1983) who proved Donaldson''s theorem restricting the possible quadratic forms on the second cohomology group of a compact simply connected 4-manifold. Most of the results of Donaldson theory depend on the manifold having a differential structure, and are false for topological 4-manifolds. Many of the theorems in Donaldson theory can now be proved more easily using Seiberg Witten theory.
