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内容説明 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 represents 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.