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.
- 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
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'This volume completes a comprehensive introduction to symplectic topology and Floer theory.' Hansjorg Geiges, Mathematical Reviews

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Product details
- Date Published: September 2015
- format: Hardback
- isbn: 9781107109674
- length: 472 pages
- dimensions: 230 x 152 x 15 mm
- weight: 0.5kg
- contains: 10 b/w illus. 50 exercises
- availability: Available
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.
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Author
Yong-Geun Oh, Pohang University of Science and Technology, Republic of Korea
Yong-Geun Oh is Director of the IBS Center for Geometry and Physics and is Professor in the Department of Mathematics at POSTECH (Pohang University of Science and Technology) in Korea. He was also Professor in the Department of Mathematics at the University of Wisconsin, Madison. He is a member of the KMS, the AMS, the Korean National Academy of Sciences, and the inaugural class of AMS Fellows. In 2012 he received the Kyung-Ahm Prize for Science in Korea.

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Symplectic Topology and Floer Homology