[Download] "Symplectic Topology and Floer Homology" by Yong-Geun Oh # Book PDF Kindle ePub Free
eBook details
- Title: Symplectic Topology and Floer Homology
- Author : Yong-Geun Oh
- Release Date : January 05, 2015
- Genre: Mathematics,Books,Science & Nature,
- Pages : * pages
- Size : 13892 KB
Description
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 1 covers the basic materials of Hamiltonian dynamics and symplectic geometry and the analytic foundations of Gromov's pseudoholomorphic curve theory. One novel aspect of this treatment is a complete proof of the boundary regularity theorem of weak solutions of pseudoholomorphic curves with totally real boundary conditions. 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. Symplectic Topology and Floer Homology is a comprehensive resource suitable for experts and newcomers alike.