Stein Manifolds and Holomorphic Mappings

Stein Manifolds and Holomorphic Mappings

  • Franc Forstnerič
Publisher:Springer Science & Business MediaISBN 13: 9783642222504ISBN 10: 3642222501

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Know about the book -

Stein Manifolds and Holomorphic Mappings is written by Franc Forstnerič and published by Springer Science & Business Media. It's available with International Standard Book Number or ISBN identification 3642222501 (ISBN 10) and 9783642222504 (ISBN 13).

The main theme of this book is the homotopy principle for holomorphic mappings from Stein manifolds to the newly introduced class of Oka manifolds. The book contains the first complete account of Oka-Grauert theory and its modern extensions, initiated by Mikhail Gromov and developed in the last decade by the author and his collaborators. Included is the first systematic presentation of the theory of holomorphic automorphisms of complex Euclidean spaces, a survey on Stein neighborhoods, connections between the geometry of Stein surfaces and Seiberg-Witten theory, and a wide variety of applications ranging from classical to contemporary.