Algebraic Surfaces and Holomorphic Vector Bundles (eBook, PDF)
Robert Friedman
eBook, PDF

Algebraic Surfaces and Holomorphic Vector Bundles (eBook, PDF)

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This book is based on courses given at Columbia University on vector bun dles (1988) and on the theory of algebraic surfaces (1992), as well as lectures in the Park City lIAS Mathematics Institute on 4-manifolds and Donald son invariants. The goal of these lectures was to acquaint researchers in 4-manifold topology with the classification of algebraic surfaces and with methods for describing moduli spaces of holomorphic bundles on algebraic surfaces with a view toward computing Donaldson invariants. Since that time, the focus of 4-manifold topology has shifted dramatically, at first be cause t...

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