Contact and Symplectic Geometry [Hardcover]

This volume presents some of the lectures and research during the special programme held at the Newton Institute in 1994.This volume presents some of the lectures and research during the special programme held at the Newton Institute in 1994. 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, and the lectures on Floer homology is the first avaliable in book form.Symplectic methods are one of the most active areas of research in mathematics currently, and this volume will attract much attention.This volume presents some of the lectures and research during the special programme held at the Newton Institute in 1994. 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, and the lectures on Floer homology is the first avaliable in book form.Symplectic methods are one of the most active areas of research in mathematics currently, and this volume will attract much attention.This volume presents a mix of substantial expository articles and research papers that outline important and topical ideas in the area of contact and symplectic geometry. Many of the results have not been presented before, and the lectures on Floer homology are the first available in book form. Symplectic methods are one of the most active areas of research in mathematics currently, and this volume will attract much attention among professional mathematicians.Preface; Contributors; Introduction; Part I. Geometric Methods: 1. J-curves and the classification of rational and ruled symplectic 4-manifolds Fran?ois Lalonde and Dusa McDuff; 2. Periodic Hamiltonian flows on four dimensional manifolds Yael Karshon; 3. 3-Dimensional contact geometry (based on lectures of Y. Eliashberg and E. Giroux) C. B. Thomas; 4. Topology and analysis of contact circles Halƒœ