Stein Manifolds and Holomorphic Mappings The Homotopy Principle in Complex Analysis

Stein Manifolds and Holomorphic Mappings
  • Engels
  • Hardcover
  • 9783319610573
  • Druk: 2nd ed. 2017
  • september 2017
  • 562 pagina's
Alle productspecificaties

Samenvatting

This book, now in a carefully revised second edition, provides an up-to-date account of Oka theory, including the classical Oka-Grauert theory and the wide array of applications to the geometry of Stein manifolds. Oka theory is the field of complex analysis dealing with global problems on Stein manifolds which admit analytic solutions in the absence of topological obstructions. The exposition in the present volume focuses on the notion of an Oka manifold introduced by the author in 2009. It explores connections with elliptic complex geometry initiated by Gromov in 1989, with the Andersen-Lempert theory of holomorphic automorphisms of complex Euclidean spaces and of Stein manifolds with the density property, and with topological methods such as homotopy theory and the Seiberg-Witten theory. Researchers and graduate students interested in the homotopy principle in complex analysis will find 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.

Recensie(s)

From the reviews: The main focus of the book is the theory of the Oka principle, which has been extensively developed in the past decade following a seminal paper of Gromov in 1989. ... The book can serve as a textbook for advanced graduate students specialising in complex geometry, as a reference for researchers in the field, and as an accessible resource for people in related areas. The book truly fills a gap in the literature. ... a standard reference for years to come. (Finnur Larusson, Mathematical Reviews, May, 2013)

Productspecificaties

Inhoud

Taal
Engels
Bindwijze
Hardcover
Druk
2nd ed. 2017
Verschijningsdatum
september 2017
Aantal pagina's
562 pagina's
Illustraties
Nee

Vertaling

Originele Titel
Stein Manifolds and Holomorphic Mappings

EAN

EAN
9783319610573

Overige kenmerken

Extra groot lettertype
Nee
Subtitel
The Homotopy Principle in Complex Analysis
Thema Subject Code
PBKB

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Studieboek of algemeen
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