Symplectic Geometry

Symplektische Geometrie;

• PM - Progress in Mathematics; 124

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With the publication of Gromov's seminal paper in 1985 and with the development of Floer homology in the eighties, symplectic geometry has changed drastically. The complexity and diversity of the topics enriched this theory, but at the same time posed obstacles to easy comprehension. The present volume collects the basic building blocks of the theory and tries to present them in a readable form. The exposition is addressed towards advanced students, graduate students, mathematicians and physicists and all those who want to gain an insight into this fascinating and rapidly developing field. The present volume is intended as a first reading in symplectic geometry. Basic notions are explained and the principal examples are outlined. Capacities, generating functions, Floer homology, pseudoholomorphic curves and contact structures make up the core of the exposition. To a large extent the treatment is self-contained, and references to the current literature facilitate the access to the original papers.