An Introduction to Compactness Results in Symplectic Field Theory

Nonfiction, Science & Nature, Mathematics, Topology, Geometry
Cover of the book An Introduction to Compactness Results in Symplectic Field Theory by Casim Abbas, Springer Berlin Heidelberg
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Author: Casim Abbas ISBN: 9783642315435
Publisher: Springer Berlin Heidelberg Publication: January 7, 2014
Imprint: Springer Language: English
Author: Casim Abbas
ISBN: 9783642315435
Publisher: Springer Berlin Heidelberg
Publication: January 7, 2014
Imprint: Springer
Language: English

This book provides an introduction to symplectic field theory, a new and important subject which is currently being developed. The starting point of this theory are compactness results for holomorphic curves established in the last decade. The author presents a systematic introduction providing a lot of background material, much of which is scattered throughout the literature. Since the content grew out of lectures given by the author, the main aim is to provide an entry point into symplectic field theory for non-specialists and for graduate students. Extensions of certain compactness results, which are believed to be true by the specialists but have not yet been published in the literature in detail, top off the scope of this monograph.

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This book provides an introduction to symplectic field theory, a new and important subject which is currently being developed. The starting point of this theory are compactness results for holomorphic curves established in the last decade. The author presents a systematic introduction providing a lot of background material, much of which is scattered throughout the literature. Since the content grew out of lectures given by the author, the main aim is to provide an entry point into symplectic field theory for non-specialists and for graduate students. Extensions of certain compactness results, which are believed to be true by the specialists but have not yet been published in the literature in detail, top off the scope of this monograph.

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