McDuff and Salamon set out write an introduction to recent developments in the theory of J-holomorphic Curves and Symplectic Topology; finding that there was no decent treatment of the foundations of the theory, they combined the two objectives. This book establishes the fundamental theorems of the subject in full and rigorous detail, but it also i
The theory of $J$-holomorphic curves has been of great importance since its introduction by Gromov in 1985. Its mathematical applications include many key results in symplectic topology. It was also one of the main inspirations for the creation of Floer h
Introduction; $J$-holomorphic curves; Moduli spaces and transversality; Compactness; Stable maps; Moduli spaces of stable maps; Gromov-Witten invariants; Hamiltonian perturbations; Applications in symplectic topology; Gluing; Quantum cohomology; Floer coh
The theory of $J$-holomorphic curves has been of great importance since its introduction by Gromov in 1985. Its mathematical applications include many key results in symplectic topology. It was also one of the main inspirations for the creation of Floer h
Introduction; $J$-holomorphic curves; Moduli spaces and transversality; Compactness; Stable maps; Moduli spaces of stable maps; Gromov-Witten invariants; Hamiltonian perturbations; Applications in symplectic topology; Gluing; Quantum cohomology; Floer coh