Holomorphic Curves in Symplectic Geometry /
This book is devoted to pseudo-holomorphic curve methods in symplectic geometry. It contains an introduction to symplectic geometry and relevant techniques of Riemannian geometry, proofs of Gromov's compactness theorem, an investigation of local properties of holomorphic curves, including posit...
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| Format: | eBook |
| Language: | English |
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Basel :
Birkhäuser Basel : Imprint : Birkhäuser,
1994.
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| Series: | Progress in Mathematics ; ;
117. |
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| Online Access: | Connect to the full text of this electronic book |
| Summary: | This book is devoted to pseudo-holomorphic curve methods in symplectic geometry. It contains an introduction to symplectic geometry and relevant techniques of Riemannian geometry, proofs of Gromov's compactness theorem, an investigation of local properties of holomorphic curves, including positivity of intersections, and applications to Lagrangian embeddings problems. The chapters are based on a series of lectures given previously by the authors M. Audin, A. Banyaga, P. Gauduchon, F. Labourie, J. Lafontaine, F. Lalonde, Gang Liu, D. McDuff, M.-P. Muller, P. Pansu, L. Polterovich, J.C. Sikorav. In an attempt to make this book accessible also to graduate students, the authors provide the necessary examples and techniques needed to understand the applications of the theory. The exposition is essentially self-contained and includes numerous exercises. |
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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (328 pages) |
| ISBN: | 9783034885089 (electronic bk.) 3034885083 (electronic bk.) |