Skip to content
Register Sign in Wishlist

An Introduction to Contact Topology


Part of Cambridge Studies in Advanced Mathematics

  • Date Published: March 2008
  • availability: Available
  • format: Hardback
  • isbn: 9780521865852

£ 76.99

Add to cart Add to wishlist

Other available formats:

Looking for an inspection copy?

This title is not currently available on inspection

Product filter button
About the Authors
  • This text on contact topology is a comprehensive introduction to the subject, including recent striking applications in geometric and differential topology: Eliashberg's proof of Cerf's theorem via the classification of tight contact structures on the 3-sphere, and the Kronheimer-Mrowka proof of property P for knots via symplectic fillings of contact 3-manifolds. Starting with the basic differential topology of contact manifolds, all aspects of 3-dimensional contact manifolds are treated in this book. One notable feature is a detailed exposition of Eliashberg's classification of overtwisted contact structures. Later chapters also deal with higher-dimensional contact topology. Here the focus is on contact surgery, but other constructions of contact manifolds are described, such as open books or fibre connected sums. This book serves both as a self-contained introduction to the subject for advanced graduate students and as a reference for researchers.

    • First text to give a comprehensive introduction to contact geometry, with thorough discussion of all basic methods of the subject
    • Long introductory chapter on the historical roots of contact geometry and its connection with physics, Riemannian geometry, and geometric topology
    • Proofs of many folklore results and careful presentation of all fundamental results in the subject
    • Detailed exposition of Eliashberg's classification of overtwisted contact structures
    Read more

    Reviews & endorsements

    '… a fundamental monograph … can be strongly recommended for graduate students and is indispensable for specialists in the field.' EMS Newsletter

    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: March 2008
    • format: Hardback
    • isbn: 9780521865852
    • length: 458 pages
    • dimensions: 231 x 160 x 36 mm
    • weight: 0.77kg
    • contains: 85 b/w illus.
    • availability: Available
  • Table of Contents

    1. Facets of Contact Geometry
    2. Contact Manifolds
    3. Knots in Contact 3-Manifolds
    4. Contact Structures on 3-Manifolds
    5. Symplectic Fillings and Convexity
    6. Contact Surgery
    7. Further Constructions of Contact Manifolds
    8. Contact Structures on 5-Manifolds
    Appendix A. The generalised Poincaré lemma
    Appendix B. Time-dependent vector fields
    Notation Index
    Author Index
    Subject Index.

  • Resources for

    An Introduction to Contact Topology

    Hansjörg Geiges

    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

    Hansjörg Geiges, Universität zu Köln
    Hansjörg Geiges is Professor of Mathematics in the Mathematisches Institut at Universität zu Köln.

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.