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Holomorphic Discs with Dense Images

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Release : 2004
Genre : Forschungsbericht
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Holomorphic Discs with Dense Images by : Franc Forstnerič

Download or read book Holomorphic Discs with Dense Images written by Franc Forstnerič. This book was released on 2004. Available in PDF, EPUB and Kindle. Book excerpt:

A Course on Holomorphic Discs

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Release : 2023-08-07
Genre : Mathematics
Kind : eBook
Book Rating : 648/5 ( reviews)

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Book Synopsis A Course on Holomorphic Discs by : Hansjörg Geiges

Download or read book A Course on Holomorphic Discs written by Hansjörg Geiges. This book was released on 2023-08-07. Available in PDF, EPUB and Kindle. Book excerpt: This textbook, based on a one-semester course taught several times by the authors, provides a self-contained, comprehensive yet concise introduction to the theory of pseudoholomorphic curves. Gromov’s nonsqueezing theorem in symplectic topology is taken as a motivating example, and a complete proof using pseudoholomorphic discs is presented. A sketch of the proof is discussed in the first chapter, with succeeding chapters guiding the reader through the details of the mathematical methods required to establish compactness, regularity, and transversality results. Concrete examples illustrate many of the more complicated concepts, and well over 100 exercises are distributed throughout the text. This approach helps the reader to gain a thorough understanding of the powerful analytical tools needed for the study of more advanced topics in symplectic topology. /divThis text can be used as the basis for a graduate course, and it is also immensely suitable for independent study. Prerequisites include complex analysis, differential topology, and basic linear functional analysis; no prior knowledge of symplectic geometry is assumed. This book is also part of the Virtual Series on Symplectic Geometry.

Invariant Distances and Metrics in Complex Analysis

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Release : 2013-06-26
Genre : Mathematics
Kind : eBook
Book Rating : 860/5 ( reviews)

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Book Synopsis Invariant Distances and Metrics in Complex Analysis by : Marek Jarnicki

Download or read book Invariant Distances and Metrics in Complex Analysis written by Marek Jarnicki. This book was released on 2013-06-26. Available in PDF, EPUB and Kindle. Book excerpt: As in the field of "Invariant Distances and Metrics in Complex Analysis" there was and is a continuous progress this is now the second extended edition of the corresponding monograph. This comprehensive book is about the study of invariant pseudodistances (non-negative functions on pairs of points) and pseudometrics (non-negative functions on the tangent bundle) in several complex variables. It is an overview over a highly active research area at the borderline between complex analysis, functional analysis and differential geometry. New chapters are covering the Wu, Bergman and several other metrics. The book considers only domains in Cn and assumes a basic knowledge of several complex variables. It is a valuable reference work for the expert but is also accessible to readers who are knowledgeable about several complex variables. Each chapter starts with a brief summary of its contents and continues with a short introduction. It ends with an "Exercises" and a "List of problems" section that gathers all the problems from the chapter. The authors have been highly successful in giving a rigorous but readable account of the main lines of development in this area.

Geometric Complex Analysis

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Release : 2018-09-08
Genre : Mathematics
Kind : eBook
Book Rating : 724/5 ( reviews)

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Book Synopsis Geometric Complex Analysis by : Jisoo Byun

Download or read book Geometric Complex Analysis written by Jisoo Byun. This book was released on 2018-09-08. Available in PDF, EPUB and Kindle. Book excerpt: The KSCV Symposium, the Korean Conference on Several Complex Variables, started in 1997 in an effort to promote the study of complex analysis and geometry. Since then, the conference met semi-regularly for about 10 years and then settled on being held biannually. The sixth and tenth conferences were held in 2002 and 2014 as satellite conferences to the Beijing International Congress of Mathematicians (ICM) and the Seoul ICM, respectively. The purpose of the KSCV Symposium is to organize the research talks of many leading scholars in the world, to provide an opportunity for communication, and to promote new researchers in this field.

Singularities and Self-intersections of Holomorphic Discs

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Release : 2009
Genre :
Kind : eBook
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Book Synopsis Singularities and Self-intersections of Holomorphic Discs by : Kai Zehmisch

Download or read book Singularities and Self-intersections of Holomorphic Discs written by Kai Zehmisch. This book was released on 2009. Available in PDF, EPUB and Kindle. Book excerpt:

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