£79.92

Springer Stein Manifolds and Holomorphic Mappings - Vol 56

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Description

Explore advanced mathematical concepts with Stein Manifolds and Holomorphic Mappings: The Homotopy Principle in Complex Analysis. Published by Springer as part of the Ergebnisse der Mathematik und ihrer Grenzgebiete series, this volume provides a deep look into the homotopy principle for holomorphic mappings from Stein manifolds to Oka manifolds. This book offers the first complete account of Oka-Grauert theory and its modern extensions. It builds upon the work initiated by Mikhail Gromov and continues the developments made by the author and collaborators. Readers will find a systematic presentation of the theory of holomorphic automorphisms of complex Euclidean spaces, alongside a survey on Stein neighborhoods. The text also explores the connections between the geometry of Stein surfaces and Seiberg-Witten theory. It is a comprehensive resource for researchers and students interested in complex analysis and its many applications. This volume serves as an essential addition to any academic library focused on mathematical analysis and modern survey mathematics.

Key Features

Provides the first complete account of Oka-Grauert theory and its modern extensions based on the work of Mikhail Gromov.

Includes a systematic presentation of the theory regarding holomorphic automorphisms of complex Euclidean spaces.

Offers a detailed survey on Stein neighborhoods for advanced mathematical study.

Explores the connections between the geometry of Stein surfaces and Seiberg-Witten theory.

Part of the reputable Ergebnisse der Mathematik und ihrer Grenzgebiete series, Volume 56.

Covers a wide variety of applications within the field of complex analysis.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
28 August 2011
Listed Since
27 May 2011

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