Skip to content
Register Sign in Wishlist

Symplectic Topology and Floer Homology

Volume 2. Floer Homology and its Applications

Part of New Mathematical Monographs

  • Author: Yong-Geun Oh, Pohang University of Science and Technology, Republic of Korea
  • Date Published: September 2015
  • availability: Available
  • format: Hardback
  • isbn: 9781107109674


Add to wishlist

Other available formats:

Looking for an inspection copy?

This title is not currently available for inspection. However, if you are interested in the title for your course we can consider offering an inspection copy. To register your interest please contact providing details of the course you are teaching.

Product filter button
About the Authors
  • 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
    Read more

    Reviews & endorsements

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

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity


    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?


    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

    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

  • Resources for

    Symplectic Topology and Floer Homology

    Yong-Geun Oh

    General Resources

    Find resources associated with this title

    Type Name Unlocked * Format Size

    Showing of

    Back to top

    This title is supported by one or more locked resources. Access to locked resources is granted exclusively by Cambridge University Press to lecturers whose faculty status has been verified. To gain access to locked resources, lecturers should sign in to or register for a Cambridge user account.

    Please use locked resources responsibly and exercise your professional discretion when choosing how you share these materials with your students. Other lecturers may wish to use locked resources for assessment purposes and their usefulness is undermined when the source files (for example, solution manuals or test banks) are shared online or via social networks.

    Supplementary resources are subject to copyright. Lecturers are permitted to view, print or download these resources for use in their teaching, but may not change them or use them for commercial gain.

    If you are having problems accessing these resources please contact

  • 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.

Related Books

also by this author

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email

Register Sign in
Please note that this file is password protected. You will be asked to input your password on the next screen.

» Proceed

You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner Please see the permission section of the catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×
warning icon

Turn stock notifications on?

You must be signed in to your Cambridge account to turn product stock notifications on or off.

Sign in Create a Cambridge account arrow icon

Find content that relates to you

Join us online

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.


Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

Please fill in the required fields in your feedback submission.