Symplectic Topology and Floer Homology: Volume 1, Symplectic Geometry and Pseudoholomorphic Curves (Hardcover)

Preface; Part I. Hamiltonian Dynamics and Symplectic Geometry: 1. Least action principle and the Hamiltonian mechanics; 2. Symplectic manifolds and Hamilton's equation; 3. Lagrangian submanifolds; 4. Symplectic fibrations; 5. Hofer's geometry of Ham(M, ω); 6. C0-Symplectic topology and Hamiltonian dynamics; Part II. Rudiments of Pseudoholomorphic Curves: 7. Geometric calculations; 8. Local study of J-holomorphic curves; 9. Gromov compactification and stable maps; 10. Fredholm theory; 11. Applications to symplectic topology; References; Index.