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Friday, May 8, 2020 | History

4 edition of Stein manifolds and holomorphic mappings found in the catalog.

Stein manifolds and holomorphic mappings

Franc ForstneriДЌ

Stein manifolds and holomorphic mappings

the homotopy principle in complex analysis

by Franc ForstneriДЌ

  • 133 Want to read
  • 11 Currently reading

Published by Springer in Heidelberg, New York .
Written in English

    Subjects:
  • Holomorphic mappings,
  • Homotopy theory,
  • Stein manifolds

  • Edition Notes

    Includes bibliographical references (p. 461-483) and index.

    StatementFranc Forstnerič
    SeriesErgebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics -- v.56, Ergebnisse der Mathematik und ihrer Grenzgebiete -- v.56.
    Classifications
    LC ClassificationsQA612.7 .F67 2011
    The Physical Object
    Paginationx, 489 p. ;
    Number of Pages489
    ID Numbers
    Open LibraryOL25125298M
    ISBN 103642222498, 3642222501
    ISBN 109783642222498, 9783642222504
    LC Control Number2011936225
    OCLC/WorldCa757558227

    Workshop and Conference on Holomorphic Curves and Low Dimensional Topology July 30 to Aug Stanford University. Organizers: S. Akbulut (MSU), A. Akhmedov (UMN), D. Auroux (Berkeley), Y. Eliashberg (Stanford), K. Honda (USC), C. Karakurt (UT Austin), P. Ozsváth (Princeton). The main focus of this workshop will be on holomorphic curve techniques in low-dimensional topology and.   STEIN MANIFOLDS AND HOLOMORPHIC MAPPINGS September Europe/Ljubljana timezone. Overview. Invited Speakers. Registration. Registration Form; Participants. Travel information. Venue. Timetable. Abstracts. Trip to Bled. Conference photos. Home. The book of abstracts is available on the following link:

    Then the material becomes more specialized, with an emphasis on analysis on manifolds. Franc Forstnerič, Stein Manifolds and Holomorphic Mappings: The Homotopy Principle in Complex Analysis, , volume 56 in the third series of Ergebnisse der Mathematik und ihrer Grenzgebiete. This advanced book is at the frontiers of research. If I have correctly undrestood,it is a result of the so called Grauert-Oka principle that all holomorphic vector bundles over contractible Stein manifolds are holomorhically any one kn.

      On holomorphic mappings of complex manifolds with ball model SHIGA, Hiroshige, Journal of the Mathematical Society of Japan, Infinite products of holomorphic mappings Budzyńska, Monika and Reich, Simeon, Abstract and Applied Analysis, Cited by:   This book is the second edition of S. Kobayashi's influential book on the theory of invariant distances and their application to questions in in the theory of mappings of complex manifolds. It serves as a fine introduction to hyperbolic complex analysis.


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Stein manifolds and holomorphic mappings by Franc ForstneriДЌ Download PDF EPUB FB2

: Stein Manifolds and Holomorphic Mappings: The Homotopy Principle in Complex Analysis (Ergebnisse der Mathematik und ihrer Grenzgebiete.

Folge / A Series of Modern Surveys in Mathematics (56)) (): Forstnerič, Franc: Books5/5(1). 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 lastBrand: Springer-Verlag Berlin Heidelberg.

Stein Manifolds and Holomorphic Mappings 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. Stein Manifolds and Holomorphic Mappings 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 Stein Manifolds Brand: Springer International Publishing. Stein Manifolds and Holomorphic Mappings: The Homotopy Principle in Complex Analysis (Ergebnisse der Mathematik und ihrer Grenzgebiete.

Folge / A Series of Modern Surveys in Mathematics Book 56) - Kindle edition by Forstnerič, Franc. Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading Stein 5/5(1).

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.

Stein manifolds; Holomorphic mappings; Homotopy theory; Series. Ergebnisse der Mathematik und ihrer Grenzgebiete ; 3. Folge, Bd. [More in this series] Ergebnisse der mathematik und ihrer grenzgebiete, ; volume 56 ; Bibliographic references Includes bibliographical references (pages ) and index.

Contents Part 1. Download Citation | On Jan 1,Franc Forstnerič and others published Stein Manifolds and Holomorphic Mappings: The Homotopy Principle in Complex Analysis | Find, read and cite all the Author: Franc Forstneric.

springer, 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. The theme of this book is an examination of the homotopy principle for holomorphic mappings from Stein manifolds to the newly introduced class of Oka manifolds.

Stein manifolds are in some sense dual to the elliptic manifolds in complex analysis which admit "many" holomorphic functions from the complex numbers into themselves. It is known that a Stein manifold is elliptic if and only if it is fibrant in the sense of so-called "holomorphic homotopy theory".

Implications of complex structure. Since holomorphic functions are much more rigid than smooth functions, the theories of smooth and complex manifolds have very different flavors: compact complex manifolds are much closer to algebraic varieties than to differentiable manifolds.

For example, the Whitney embedding theorem tells us that every smooth n-dimensional manifold can be embedded as. Idea. A Stein manifold is a complex manifold satisfying some niceness condition generalizing the concept of a domain of the point of view of cohomology Stein manifolds are to complex manifolds as Cartesian spaces are to smooth manifolds.

every complex manifold has a “good cover” by Stein manifolds and the positive-degree abelian sheaf cohomology with values in any analytic. Examples of Stein manifolds Domains in C, open Riemann surfaces (Behnke & Stein ). Cn, and domains of holomorphy in Cn (Cartan & Thullen ).

A closed complex submanifold of a Stein manifold is Stein. In particular, closed complex submanifolds of CN are Stein. If E. X is a holomorphic vector bundle and the base X is Stein, then the total space E is Stein. And a few examples of non-Stein.

Abstract This note contains errata for my book Stein Manifolds and Holomorphic Mappings (The Homotopy Principle in Complex Analysis), Second Edition, Springer International Publishing AG In the second section I mention some important developments after book. Manifolds and Holomorphic Mappings 1 of Complex Manifolds 4 and Complex Spaces 7 Holomorphic Fiber Bundles 10 Holomorphic Vector Bundles 13 Th e Bundle 18 The Cotangent Bundle and Differential Forms 22 Plurisubharmonic Functions and the Levi Form 25 Vector Fields, Flows and Foliations   Conference on the Occasion of Professor Franc Forstnerič's 60th Birthday»Stein Manifolds and Holomorphic Mappings«.

Faculty of Mathematics and Physics, University of Ljubljana. Download Citation | Extending holomorphic mappings from subvarieties in Stein manifolds | Suppose that Y is a complex manifold with the property that any holomorphic map from a compact convex set Author: Franc Forstneric.

"This new book is a valuable addition to the literature." K. Fritzsche and H. Grauert From Holomorphic Functions to Complex Manifolds "A valuable addition to the literature."-MATHEMATICAL REVIEW "The book is a nice introduction to the theory of complex manifolds.4/5(1).

Stein Manifolds and Holomorphic Mappings. Faculty of Mathematics and Physics, University of Ljubljana, September This is the second announcement for the conference»Stein manifolds and holomorphic mappings«on the occasion of professor Franc Forstnerič's 60th birthday.

The conference will. MANIFOLDS OF HOLOMORPHIC MAPPINGS FROM STRONGLY PSEUDOCONVEX DOMAINS FRANC FORSTNERICˇ Abstract. Let D be a bounded strongly pseudoconvex domain in a Stein manifold, and let Y be a complex manifold.

We show that many classical spaces of maps D¯ →Y which are holomorphic in Dare infinite dimensional complex manifolds which are modeled on.Stein manifolds and holomorphic mappings: the homotopy principle in complex analysis 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 Author: Franc Forstnerič.(source: Nielsen Book Data) Summary This introduction to the theory of complex manifolds covers the most important branches and methods in complex analysis of several variables while completely avoiding abstract concepts involving sheaves, coherence, and higher-dimensional cohomology.