| Stein Manifolds and Holomorphic Mappings: The Homotopy Principle in Complex Analysis 2011 Edition Contributor(s): Forstnerič, Franc (Author) |
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ISBN: 3642222498 ISBN-13: 9783642222498 Publisher: Springer OUR PRICE: $104.49 Product Type: Hardcover - Other Formats Published: August 2011 |
| Additional Information |
| BISAC Categories: - Mathematics | Mathematical Analysis - Mathematics | Calculus - Mathematics | Complex Analysis |
| Dewey: 515.8 |
| Series: Ergebnisse Der Mathematik Und Ihrer Grenzgebiete. 3. Folge / |
| Physical Information: 1.13" H x 6.14" W x 9.21" (1.94 lbs) 492 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |