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Item Details
Title: HOLOMORPHIC CURVES IN SYMPLECTIC GEOMETRY
SUMMER SCHOOL : SELECTED PAPERS
By: Michele Audin (Editor), Jacques Lafontaine (Editor)
Format: Hardback

List price: £72.00


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ISBN 10: 3764329971
ISBN 13: 9783764329976
Publisher: BIRKHAUSER VERLAG AG
Pub. date: 1 February, 1994
Series: Progress in Mathematics v. 117
Pages: 331
Description: Deals with the pseudo-holomorphic curve methods in symplectic geometry. This book 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 applications to Lagrangian embeddings problems.
Synopsis: The school, the book 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. The first week was devoted to the basics of symplectic and Riemannian geometry (Banyaga, Audin, Lafontaine, Gauduchon), the second was the technical one (Pansu, Muller, Duval, Lalonde and Sikorav). The final week saw the conclusion ofthe school (mainly McDuffand Polterovich, with complementary lectures by Lafontaine, Audin and Sikorav). Globally, the chapters here reflect what happened there. Locally, we have tried to reorganise some ofthe material to make the book more coherent. Hence, for instance, the collective (Audin, Lalonde, Polterovich) chapter on Lagrangian submanifolds and the appendices added to some of the chapters. Duval was not able to write up his lectures, so that genuine complex analysis will not appear in the book, although it is a very current tool in symplectic and contact geometry (and conversely). Hamiltonian systems and variational methods were the subject of some of Sikorav's talks, which he also was not able to write up. On the other hand, F.Labourie, who could not be at the school, wrote a chapter on pseudo-holomorphic curves in Riemannian geometry.
Illustrations: biography
Publication: Switzerland
Imprint: Birkhauser Verlag AG
Returns: Returnable
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