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9783642081712

Smooth Four-manifolds and Complex Surfaces

by ;
  • ISBN13:

    9783642081712

  • ISBN10:

    3642081711

  • Format: Paperback
  • Copyright: 2010-12-01
  • Publisher: Springer Nature
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List Price: $179.99

Summary

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.

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