ENGLISH

Holomorphic Curves in Symplectic Geometry

By Michele Audin , Michèle Audin (auth.) , Jacques LaFontaine , Jacques Lafontaine (eds.)

Book information

Publisher
Birkhäuser Basel
Year
1994
ISBN
978-3-0348-9656-6, 978-3-0348-8508-9
DOI
10.1007/978-3-0348-8508-9
Language
english
Format
PDF
Filesize
25 MB (25975631 bytes)
Series
Progress in Mathematics 117
Edition
1
Pages
331\332
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00
Differential Geometry; Topological GroupsLie Groups

Description

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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