Symplectic Topology and Floer Homology: Volume 2, Floer Homology and its Applications (New Mathematical Monographs)

Published in two volumes, this is the first book to provide a thorough and systematic explanation of symplectic topology, and the analytical details and techniques used in applying the machinery arising from Floer theory as a whole. Volume 2 provides a comprehensive introduction to both Hamiltonian Floer theory and Lagrangian Floer theory, including many examples of their applications to various problems in symplectic topology. The first volume covered the basic materials of Hamiltonian dynamics and symplectic geometry and the analytic foundations of Gromov's pseudoholomorphic curve theory. Symplectic Topology and Floer Homology is a comprehensive resource suitable for experts and newcomers alike. Published in two volumes, this is the first book to provide a systematic explanation of symplectic topology, and the analytical details and techniques used in applying the machinery arising from Floer theory as a whole. Volume 1 covers the basic materials of Hamiltonian dynamics and symplectic geometry and the analytic foundations of Gromov's pseudoholomorphic curve theory. V. 1. Symplectic Geometry And Pseudoholomorphic Curves -- V. 2. Floer Homology And Its Applications. Yong-geun Oh, Ibs Center For Geometry And Physics, Pohang University Of Science And Technology, Republic Of Korea. Includes Bibliographical References And Index. This is the first systematic exposition of basic Floer homology theory and its applications to symplectic topology as a whole. In two volumes, it provides a comprehensive resource suitable for experts and newcomers alike.