Symplectic Topology and Floer Homology
Symplectic Topology and Floer Homology
$180.00
USDPublished 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.
- Covers both open and closed pseudoholomorphic curves in general genus for those who want to learn basic analytic techniques in symplectic topology
- Explanations of basic symplectic geometry and Hamiltonian dynamics up to continuous category reveal the connection between pre-Gromov and post-Gromov symplectic geometry
- Includes self-contained explanations of basic Floer homology both open and closed and of its applications for those who want to teach themselves the basic Floer homology
Reviews & endorsements
'This volume completes a comprehensive introduction to symplectic topology and Floer theory.' Hansjorg Geiges, Mathematical Reviews
Product details
August 2016Adobe eBook Reader
9781316383193
0 pages
0kg
10 b/w illus. 50 exercises
This ISBN is for an eBook version which is distributed on our behalf by a third party.
Table of Contents
- 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.
