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Springer Stein Manifolds and Holomorphic Mappings - Homotopy Principle

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Description

This comprehensive mathematical text explores the homotopy principle for holomorphic mappings from Stein manifolds to Oka manifolds, presenting the first complete account of Oka-Grauert theory and its contemporary extensions. Developed by Mikhail Gromov and refined over the past decade, this work by Springer-Verlag offers systematic coverage of holomorphic automorphisms in complex Euclidean spaces, Stein neighborhoods, and the geometric connections between Stein surfaces and Seiberg-Witten theory. Part of the Ergebnisse der Mathematik und ihrer Grenzgebiete series (volume 56), this treatise serves advanced mathematicians and researchers in complex analysis seeking rigorous foundational material and current developments in the field.

Key Features

Springer-Verlag publication provides authoritative coverage of Oka-Grauert theory with modern extensions initiated by Mikhail Gromov.

First systematic presentation of holomorphic automorphisms of complex Euclidean spaces with detailed theoretical framework.

Comprehensive survey on Stein neighborhoods and their role in complex manifold theory.

Explores connections between Stein surface geometry and Seiberg-Witten theory for advanced mathematical applications.

Volume 56 in the Ergebnisse der Mathematik und ihrer Grenzgebiete series for established mathematical discourse.

Covers wide variety of applications of the homotopy principle in contemporary complex analysis.

Product Specifications

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

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