Contact and Symplectic Geometry

By: C. B. Thomas (Editor), Charles Benedict Thomas (Editor)

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Hardcover | 2 December 1996

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Hardcover
332 Pages

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22.86 x 15.24 x 2.24

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This volume presents some of the lectures and research during the special programme held at the Newton Institute in 1994. The book, in two parts, begins with an introductory overview. The two parts each contain a mix of substantial expository articles and research papers that outline important and topical ideas. Many of the results have not been presented before. Symplectic methods are one of the most active areas of research in mathematics currently, and this volume will attract much attention.

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'... this volume will attract much attention.' L'Enseignement Mathematique

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Preface
Contributors
Introduction
Geometric Methods
J-curves and the classification of rational and ruled symplectic 4-manifolds
Periodic Hamiltonian flows on four dimensional manifolds
3-Dimensional contact geometry (based on lectures of Y. Eliashberg and E. Giroux)
Topology and analysis of contact circles
Properties of pseudoholomorphic curves in symplectisation IV: asymptotics with degeneracies
Pseudo-holomorphic curves and Bernoulli shifts
On closed trajectories of a charge in a magnetic field
An application of symplectic geometry Viktor
Symplectic Invariants
Introduction to symplectic Floer homology
Symplectic Floer-Donaldson theory and quantum cohomology
Relative Floer and quantum cohomology and the symplectic topology of Lagrangian submanifolds
Cup-length estimate for symplectic fixed points
Hofer's symplectic energy and Lagrangian intersections
On the existence of symplectic submanifolds (from lectures of S. Donaldson)
Table of Contents provided by Publisher. All Rights Reserved.

Contact and Symplectic Geometry

At a Glance

Hardcover

Industry Reviews

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How to return your order

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