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Titlebook: Stein Manifolds and Holomorphic Mappings; The Homotopy Princip Franc Forstnerič Book 20111st edition Springer-Verlag Berlin Heidelberg 2011

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书目名称Stein Manifolds and Holomorphic Mappings
副标题The Homotopy Princip
编辑Franc Forstnerič
视频video
概述First systematic presentation of the theory of holomorphic automorphisms of complex Euclidean spaces.First complete account of Oka-Grauert theory and its modern extensions.Contains a wide variety of a
丛书名称Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathemati
图书封面Titlebook: Stein Manifolds and Holomorphic Mappings; The Homotopy Princip Franc Forstnerič Book 20111st edition Springer-Verlag Berlin Heidelberg 2011
描述.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..
出版日期Book 20111st edition
关键词Holomorphic approximation; Oka manifolds; Stein manifolds; Stein spaces
版次1
doihttps://doi.org/10.1007/978-3-642-22250-4
isbn_ebook978-3-642-22250-4Series ISSN 0071-1136 Series E-ISSN 2197-5655
issn_series 0071-1136
copyrightSpringer-Verlag Berlin Heidelberg 2011
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发表于 2025-3-21 21:07:55 | 显示全部楼层
https://doi.org/10.1007/978-3-642-22250-4Holomorphic approximation; Oka manifolds; Stein manifolds; Stein spaces
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Franc ForstneričFirst systematic presentation of the theory of holomorphic automorphisms of complex Euclidean spaces.First complete account of Oka-Grauert theory and its modern extensions.Contains a wide variety of a
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Oka Manifolds,plex manifolds that has recently emerged from the modern theory of the Oka principle. The main result is that sections of any stratified holomorphic fiber bundle with Oka fibers over a reduced Stein space satisfy all forms of the Oka principle.
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Topological Methods in Stein Geometry,neralized Thom conjecture. In the last part we present the Eliashberg-Gompf construction of integrable Stein structures on almost complex manifolds with a suitable handlebody decomposition, and we prove the Soft Oka Principle.
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