Stein Manifolds and Holomorphic Mappings - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Stein Manifolds and Holomorphic Mappings write by Franc Forstnerič. This book was released on 2011-08-27. Stein Manifolds and Holomorphic Mappings available in PDF, EPUB and Kindle. 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.
Stein Manifolds and Holomorphic Mappings
Stein Manifolds and Holomorphic Mappings - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Stein Manifolds and Holomorphic Mappings write by Franc Forstnerič. This book was released on 2017-09-05. Stein Manifolds and Holomorphic Mappings available in PDF, EPUB and Kindle. 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 Andersén-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.
From Holomorphic Functions to Complex Manifolds
From Holomorphic Functions to Complex Manifolds - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook From Holomorphic Functions to Complex Manifolds write by Klaus Fritzsche. This book was released on 2012-12-06. From Holomorphic Functions to Complex Manifolds available in PDF, EPUB and Kindle. 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. Only elementary methods such as power series, holomorphic vector bundles, and one-dimensional cocycles are used. Each chapter contains a variety of examples and exercises.
From Stein to Weinstein and Back
From Stein to Weinstein and Back - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook From Stein to Weinstein and Back write by Kai Cieliebak. This book was released on 2012. From Stein to Weinstein and Back available in PDF, EPUB and Kindle. This book is devoted to the interplay between complex and symplectic geometry in affine complex manifolds. Affine complex (a.k.a. Stein) manifolds have canonically built into them symplectic geometry which is responsible for many phenomena in complex geometry and analysis. The goal of the book is the exploration of this symplectic geometry (the road from 'Stein to Weinstein') and its applications in the complex geometric world of Stein manifolds (the road 'back').
Advancements in Complex Analysis
Advancements in Complex Analysis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Advancements in Complex Analysis write by Daniel Breaz. This book was released on 2020-05-12. Advancements in Complex Analysis available in PDF, EPUB and Kindle. The contributions to this volume are devoted to a discussion of state-of-the-art research and treatment of problems of a wide spectrum of areas in complex analysis ranging from pure to applied and interdisciplinary mathematical research. Topics covered include: holomorphic approximation, hypercomplex analysis, special functions of complex variables, automorphic groups, zeros of the Riemann zeta function, Gaussian multiplicative chaos, non-constant frequency decompositions, minimal kernels, one-component inner functions, power moment problems, complex dynamics, biholomorphic cryptosystems, fermionic and bosonic operators. The book will appeal to graduate students and research mathematicians as well as to physicists, engineers, and scientists, whose work is related to the topics covered.
