Contact and Symplectic Geometry

Table of Contents

Preface
Contributors
Introduction
Part I. Geometric Methods:
1. J-curves and the classification of rational and ruled symplectic 4-manifolds François 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 Hansjörg Geiges and Jesús Gonzalo
5. Properties of pseudoholomorphic curves in symplectisation IV: asymptotics with degeneracies H. Hofer, K. Wysocki and E. Zehnder
6. Pseudo-holomorphic curves and Bernoulli shifts Kai Cieliebak
7. On closed trajectories of a charge in a magnetic field. An application of symplectic geometry Viktor L. Ginzburg
Part II. Symplectic Invariants:
8. Introduction to symplectic Floer homology Matthias Schwarz
9. Symplectic Floer-Donaldson theory and quantum cohomology S. Piunikhin, D. Salamon and M. Schwarz
10. Relative Floer and quantum cohomology and the symplectic topology of Lagrangian submanifolds Yong-Geun Oh
11. Cup-length estimate for symplectic fixed points Lê Hông Vân and Kaoru Ono
12. Hofer's symplectic energy and Lagrangian intersections Yu V. Chekanov
13. On the existence of symplectic submanifolds (from lectures of S. Donaldson) C. B. Thomas.

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