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Symplectic Topology and Floer Homology, Volume 2: Floer Homology and Its Applications

Yong-Geun Oh
Publisher: 
Cambridge University Press
Publication Date: 
2016
Number of Pages: 
446
Format: 
Hardcover
Series: 
New Mathematical Monographs 29
Price: 
140.00
ISBN: 
9781107109674
Category: 
Monograph
[Reviewed by
Michael Berg
, on
02/1/2016
]

Please see the page for volume one.

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.