Symplectic And Contact Topology


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Lectures on Symplectic Geometry


Lectures on Symplectic Geometry

Author: Ana Cannas da Silva

language: en

Publisher: Springer

Release Date: 2004-10-27


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The goal of these notes is to provide a fast introduction to symplectic geometry for graduate students with some knowledge of differential geometry, de Rham theory and classical Lie groups. This text addresses symplectomorphisms, local forms, contact manifolds, compatible almost complex structures, Kaehler manifolds, hamiltonian mechanics, moment maps, symplectic reduction and symplectic toric manifolds. It contains guided problems, called homework, designed to complement the exposition or extend the reader's understanding. There are by now excellent references on symplectic geometry, a subset of which is in the bibliography of this book. However, the most efficient introduction to a subject is often a short elementary treatment, and these notes attempt to serve that purpose. This text provides a taste of areas of current research and will prepare the reader to explore recent papers and extensive books on symplectic geometry where the pace is much faster. For this reprint numerous corrections and clarifications have been made, and the layout has been improved.

Surgery on Contact 3-Manifolds and Stein Surfaces


Surgery on Contact 3-Manifolds and Stein Surfaces

Author: Burak Ozbagci

language: en

Publisher: Springer Science & Business Media

Release Date: 2004


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This book is about an investigation of recent developments in the field of sympletic and contact structures on four and three dimensional manifolds, respectively, from a topologist's point of view. The level of the book is appropriate for advanced graduate students.

An Introduction to Contact Topology


An Introduction to Contact Topology

Author: Hansjörg Geiges

language: en

Publisher:

Release Date: 2014-05-14


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The first comprehensive introduction to contact topology. Ideal for graduate courses on contact geometry, and as a reference for researchers.