<図書>
Holomorphic curves in symplectic geometry
責任表示 | Michèle Audin, Jacques Lafontaine, editors |
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シリーズ | Progress in mathematics ; v. 117 |
データ種別 | 図書 |
出版情報 | Basel ; Boston : Birkhäuser , c1994 |
本文言語 | 英語,フランス語 |
大きさ | xi, 328 p. : ill. ; 24 cm |
概要 | 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 ...ompactness 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. 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. 続きを見る |
電子版へのリンク | https://hdl.handle.net/2324/6871827 |
所蔵情報
状態 | 巻次 | 所蔵場所 | 請求記号 | 刷年 | 文庫名称 | 資料番号 | コメント | 予約・取寄 | 複写申込 | 自動書庫 |
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理系図3F 数理独自 | SER/PM/117 | 1994 |
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068222194003017 |
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書誌詳細
一般注記 | "This book is based on lectures given by the authors of the various chapters in a three week long CIMPA summer school, held in Sophia-Antipolis (near Nice) in July 1992"--Pref Includes bibliographical references and index |
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著者標目 | Audin, Michèle Lafontaine, J. (Jacques), 1944 Mar. 10- CIMPA summer school (1992 : Sophia-Antipolis) |
件 名 | LCSH:Symplectic manifolds LCSH:Holomorphic functions |
分 類 | LCC:QA649 DC20:516.3/62 |
書誌ID | 1000030128 |
ISBN | 0817629971 |
NCID | BA2190694X |
巻冊次 | : us ; ISBN:0817629971 : sz ; ISBN:3764329971 |
登録日 | 2009.09.10 |
更新日 | 2009.11.02 |