Titlebook: Stein Manifolds and Holomorphic Mappings; The Homotopy Princip Franc Forstnerič Book 2017Latest edition Springer International Publishing A

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Embeddings, Immersions and Submersionslds. We begin by exploring the homotopy principle for totally real immersions and embeddings. The main results of the chapter include the optimal embedding and immersion theorems for Stein manifolds to Euclidean spaces, the Oka principle for holomorphic immersions of Stein manifolds to Euclidean spa

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Topological Methods in Stein Geometrynsidering complex points of smooth real surfaces in complex surfaces. After proving the Lai formulae and the Eliashberg-Harlamov cancellation theorem, we explore connections between the generalized adjunction inequality and the existence of embedded or immersed surfaces with a Stein neighborhood bas

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Oka Manifoldse give a complete proof, proceeding in steps from the simplest to the most general case. We also discuss properties and examples of Oka manifold and give several nontrivially equivalent characterizations of this class.

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Topological Methods in Stein Geometry . to an arbitrary complex manifold . is homotopic to a holomorphic map provided that we allow homotopic deformations of the Stein structure on . and, in real dimension four, also a change of the underlying smooth structure on ..

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Book 2017Latest editiond this book particularly useful. It is currently the only work that offers a comprehensive introduction to both the Oka theory and the theory of holomorphic automorphisms of complex Euclidean spaces and of other complex manifolds with large automorphism groups..

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0071-1136 introduction to both the Oka theory and the theory of holomorphic automorphisms of complex Euclidean spaces and of other complex manifolds with large automorphism groups..978-3-319-86994-0978-3-319-61058-0Series ISSN 0071-1136 Series E-ISSN 2197-5655

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