An Introduction to Compactness Results in Symplectic Field Theory
Seiten
2016
|
1. Softcover reprint of the original 1st ed. 2014
Springer Berlin (Verlag)
978-3-662-52244-8 (ISBN)
Springer Berlin (Verlag)
978-3-662-52244-8 (ISBN)
Based on the author's lectures, this book introduces symplectic field theory. Beginning with compactness results for holomorphic curves, the coverage includes extensions of certain compactness results believed to be true, but not yet published in detail.
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.
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.
From the book reviews:
"A unified and detailed presentation of the symplectic field theory (SFT) is given with desire to make it more accessible. Proofs of the compactness results in SFT are presented with considerably more details and background material. ... The book is of interest both for non-specialists and specialists in SFT, and also for graduate students." (Gheorghe Zet, zbMATH, Vol. 1288, 2014)
| Erscheinungsdatum | 29.08.2016 |
|---|---|
| Zusatzinfo | VIII, 252 p. 73 illus. |
| Verlagsort | Berlin |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Geometrie / Topologie |
| Schlagworte | analytic geometry • Analytic topology • Contact homology • Contact topology • Differential and Riemannian geometry • Differential Geometry • Manifolds and Cell Complexes (incl. Diff.Topology) • mathematics and statistics • Symplectic field theory • symplectic manifolds • Symplectic structures of moduli spaces |
| ISBN-10 | 3-662-52244-6 / 3662522446 |
| ISBN-13 | 978-3-662-52244-8 / 9783662522448 |
| Zustand | Neuware |
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