Stein manifolds and holomorphic mappings : the homotopy principle in complex analysis / Franc Forstneric.
Material type:
TextSeries: Ergebnisse der mathematik und ihrer grenzgebiete. 3. folge / a series of modern surveys in mathematics ; v 56.Publication details: Cham : Springer, 2017.Edition: 2nd edDescription: xiv, 562 pages : illustrations ; 24 cmISBN: - 9783319610573 (hardcover : alk. paper)
- 514.24 23 F734
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|
| Books | ISI Library, Kolkata | 514.24 F734 (Browse shelf(Opens below)) | Available | 138282 |
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| No cover image available | No cover image available | |||||||
| 514.24 F316 Rational homotopy theory | 514.24 F672 Homotopical topology / | 514.24 F734 Stein manifolds and holomorphic mappings | 514.24 F734 Stein manifolds and holomorphic mappings : | 514.24 F911 Etale homotopy of simplicial schemes | 514.24 G118 Calculus of fractions and homotopy theory | 514.24 G597 Simplicial homotopy theory |
Include bibliographical references and indexes.
1. Preliminaries. -
2. Stein Manifolds. -
3. Stein Neighborhoods and Holomorphic Approximation. -
4. Automorphisms of Complex Euclidean Spaces. -
5. Oka Manifolds. -
6. Elliptic Complex Geometry and Oka Theory -
7. Flexibility properties of complex manifolds and holomorphic maps --
8. Applications of Oka theory and its methods --
9. Embeddings, Immersions and Submersions.-
10. Topological Methods in Stein Geometry. -
References. -
Index.
The theme of this book is an examination of the homotopy principle for holomorphic mappings from Stein manifolds to the newly introduced class of Oka manifolds, offering the first complete account of Oka-Grauert theory and its modern extensions.
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