Skip to content
Register Sign in Wishlist
Elliptic Cohomology

Elliptic Cohomology
Geometry, Applications, and Higher Chromatic Analogues

Part of London Mathematical Society Lecture Note Series

Matthew Ando, Christopher P. French, Jorge A. Devoto, John P. C. Greenlees, Ian Grojnowski, Hans-Werner Henn, Mark Hovey, Keith Johnson, Nitu Kitchloo, Jack Morava, Geoffrey Mason, Norihiko Minami, Emanuel Diaconescu, Daniel S. Freed, Gregory Moore, Douglas C. Ravenel, Graeme Segal, Bertrand Toen, Gabriele Vezzosi, Burt Totaro
View all contributors
  • Date Published: March 2007
  • availability: Available
  • format: Paperback
  • isbn: 9780521700405

Paperback

Add to wishlist

Other available formats:
eBook


Looking for an inspection copy?

This title is not currently available on inspection

Description
Product filter button
Description
Contents
Resources
Courses
About the Authors
  • Edward Witten once said that Elliptic Cohomology was a piece of 21st Century Mathematics that happened to fall into the 20th Century. He also likened our understanding of it to what we know of the topography of an archipelago; the peaks are beautiful and clearly connected to each other, but the exact connections are buried, as yet invisible. This very active subject has connections to algebraic topology, theoretical physics, number theory and algebraic geometry, and all these connections are represented in the sixteen papers in this volume. A variety of distinct perspectives are offered, with topics including equivariant complex elliptic cohomology, the physics of M-theory, the modular characteristics of vertex operator algebras, and higher chromatic analogues of elliptic cohomology. This is the first collection of papers on elliptic cohomology in almost twenty years and gives a broad picture of the state of the art in this important field of mathematics.

    • Presents the current state of the art in elliptic cohomology
    • First collection of papers on this subject for 20 years
    • Ideal for graduate students and researchers in topology, algebraic geometry, representation theory and string theory
    Read more

    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 2007
    • format: Paperback
    • isbn: 9780521700405
    • length: 380 pages
    • dimensions: 229 x 154 x 20 mm
    • weight: 0.537kg
    • contains: 3 exercises
    • availability: Available
  • Table of Contents

    Preface
    1. Discrete torsion for the supersingular orbifold sigma genus Matthew Ando and Christopher P. French
    2. Quaternionic elliptic objects and K3-cohomology Jorge A. Devoto
    3. Algebraic groups and equivariant cohomology theories John P. C. Greenlees
    4. Delocalised equivariant elliptic cohomology Ian Grojnowski
    5. On finite resolutions of K(n)-local spheres Hans-Werner Henn
    6. Chromatic phenomena in the algebra of BP*BP-comodules Mark Hovey
    7. Numerical polynomials and endomorphisms of formal group laws Keith Johnson
    8. Thom prospectra for loopgroup representations Nitu Kitchloo and Jack Morava
    9. Rational vertex operator algebras Geoffrey Mason
    10. A possible hierarchy of Morava K-theories Norihiko Minami
    11. The M-theory 3-form and E8 gauge theory Emanuel Diaconescu, Daniel S. Freed and Gregory Moore
    12. The motivic Thom isomorphism Jack Morava
    13. Toward higher chromatic analogs of elliptic cohomology Douglas C. Ravenel
    14. What is an elliptic object? Graeme Segal
    15. Spin cobordism, contact structure and the cohomology of p-groups C. B. Thomas
    16. Brave New Algebraic Geometry and global derived moduli spaces of ring spectra Bertrand Toen and Gabriele Vezzosi
    17. The elliptic genus of a singular variety Burt Totaro.

  • Editors

    Haynes R. Miller, Massachusetts Institute of Technology
    Haynes C. Miller is Professor of Mathematics at Massachusetts Institute of Technology, Boston.

    Douglas C. Ravenel, University of Rochester, New York
    Douglas C. Ravenel is Fayerweather Professor of Mathematics, University of Rochester, NY.

    Contributors

    Matthew Ando, Christopher P. French, Jorge A. Devoto, John P. C. Greenlees, Ian Grojnowski, Hans-Werner Henn, Mark Hovey, Keith Johnson, Nitu Kitchloo, Jack Morava, Geoffrey Mason, Norihiko Minami, Emanuel Diaconescu, Daniel S. Freed, Gregory Moore, Douglas C. Ravenel, Graeme Segal, Bertrand Toen, Gabriele Vezzosi, Burt Totaro

Related Books

Sorry, this resource is locked

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

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 www.ebooks.com. Please see the permission section of the www.ebooks.com 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.

Cancel

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.
×