Yong-Geun Oh

Symplectic Topology and Floer Homology: Volume 2, Floer Homology and its Applications (eBook, ePUB)

• Format: ePub

Produktbeschreibung

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.

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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 27. August 2015
• Englisch
• ISBN-13: 9781316379592
• Artikelnr.: 53071756

Autorenporträt

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.

Inhaltsangabe

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.