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Smooth Four-Manifolds and Complex Surfaces (Ergebnisse Der Mathematik Und Ihrer Grenzgebiete 3 Folge)
Smooth FourManifolds and Complex Surfaces - Ergebnisse Der Mathematik Und Ihrer Grenzgebiete 3 Folge Author:Robert Friedman, John W. Morgan This book applies the recent techniques of gauge theory to study the smooth classification of compact complex surfaces. The study is divided into four main areas: Classical complex surface theory, gauge theory and Donaldson invariants, deformations of holomorphic vector bundles, and explicit calculations for elliptic sur faces. The book represen... more »ts a marriage of the techniques of algebraic geometry and 4-manifold topology and gives a detailed exposition of some of the main themes in this very active area of current research.« less