Holomorphic Curves in Symplectic Geometry

by Michèle Audin (Editor)

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.

342 pages, Hardcover

First published February 1, 1994

About the author

Michèle Audin is a French mathematician, and a professor at l'Institut de recherche mathématique avancée (IRMA) in Strasbourg, where she does research notably in the area of symplectic geometry.

Born in 1954, she is a former student of l'École normale supérieure de jeunes filles within the École normale supérieure Sèvres. She became a member of l'Oulipo in 2009.

She is the daughter of mathematician Maurice Audin, who died under torture in 1957 in Algeria, after having been arrested by parachutists of General Jacques Massu. On January 1, 2009, she refused to receive the Legion of Honour, on the grounds that the President of France, Nicolas Sarkozy, had refused to respond to a letter written by her mother regarding the disappearance of her father.

(from Wikipedia)

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