Contact and Symplectic Geometry

Preface Contributors Introduction Part I. Geometric Methods: 1. J-curves and the classification of rational and ruled symplectic 4-manifolds Francois 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 Hansjorg Geiges and Jesus 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 Le Hong Van 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.