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<図書>
Holomorphic curves in symplectic geometry

責任表示 Michèle Audin, Jacques Lafontaine, editors
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.
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所蔵情報



理系図3F 数理独自 SER/PM/117 1994
068222194003017

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
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

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