Symplectic Topology and Floer Homology: Volume 2, Floer Homology and its Applications (New Mathematical Monographs)
Cambridge University Press, 8/27/2015
EAN 9781107109674, ISBN10: 1107109671
Hardcover, 472 pages, 22.9 x 15.2 x 3 cm
Language: English
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.
Preface
Part III. Lagrangian Intersection Floer Homology
12. Floer homology on cotangent bundles
13. Off-shell framework of Floer complex with bubbles
14. On-shell analysis of Floer moduli spaces
15. Off-shell analysis of the Floer moduli space
16. Floer homology of monotone Lagrangian submanifolds
17. Applications to symplectic topology
Part IV. Hamiltonian Fixed Point Floer Homology
18. Action functional and Conley–Zehnder index
19. Hamiltonian Floer homology
20. Pants product and quantum cohomology
21. Spectral invariants
construction
22. Spectral invariants
applications
Appendix A. The Weitzenböck formula for vector valued forms
Appendix B. Three-interval method of exponential estimates
Appendix C. Maslov index, Conley–Zehnder index and index formula
References
Index.