Springer Smooth Four-Manifolds and Complex Surfaces - Math Book

Explore the advanced field of gauge theory and its applications to complex surfaces with this academic text from Springer. Part of the prestigious Ergebnisse der Mathematik series, this book provides a modern and streamlined introduction to current mathematical research. Authors Friedman and Morgan present a comprehensive guide designed to support both professional researchers and graduate students working in geometry and topology. The text covers four essential areas of study to provide a well-rounded understanding of the subject. Readers will examine classical complex surface theory and the role of gauge theory and Donaldson invariants. Additionally, the book addresses the deformations of holomorphic vector bundles and provides explicit calculations for elliptic surfaces. This resource serves as a vital tool for those studying the intersection of smooth four-manifolds and complex geometry.