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Smooth Four-Manifolds and Complex Surfaces

Smooth Four-Manifolds and Complex Surfaces

Paperback

Series: Ergebnisse Der Mathematik Und Ihrer Grenzgebiete. 3. Folge /, Book 27

General MathematicsGeometry

ISBN10: 3642081711
ISBN13: 9783642081712
Publisher: Springer Nature
Published: Dec 5 2010
Pages: 522
Weight: 1.63
Height: 1.08 Width: 6.14 Depth: 9.21
Language: English
With this book, appearing in Springer's prestigious series Ergebnisse der Mathematik, Friedman and Morgan give a comprehensive introduction to current research in the field of applications of gauge theory to complex surfaces. Their streamlined modern presentation of this very active area of mathematical research will be very welcome to researchers and graduate students alike. The study is divided into 4 main areas: - Classical complex surface theory; - gauge theory and Donaldson invariants; - deformations of holomorphic vector bundles; - explicit calculations for elliptic surfaces. The book very successfully bridges the two areas of 4-manifold topology and complex surface theory, thus unifying the classical theory of Barth/Peters/van de Ven (ERGEBNISSE 4) with gauge theory techniques described by Donaldson/Kronheimer.

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General Mathematics