Smooth Four-Manifolds and Complex Surfaces
Publisher: Springer Berlin Heidelberg
Published: Dec 01, 2010
Format: paperback
Number of pages: 532
ISBN-13: 9783642081712
Description: 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.
Notes: Source title: Smooth Four-Manifolds and Complex Surfaces (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics)