Skip to main content Accessibility help

We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.

Close cookie message
×
Hostname: page-component-78c5997874-94fs2 Total loading time: 0 Render date: 2024-11-09T08:27:14.432Z Has data issue: false hasContentIssue false

4 - How Can It Be True?

Published online by Cambridge University Press:  24 November 2022

Shmuel Weinberger
Shmuel Weinberger
Affiliation:
University of Chicago
Get access

Summary

The Novikov conjecture arises as a piece of the Borel conjecture, although generalized beyond the setting of aspherical manifolds. This chapted gives several methods, from spltting theorems to index theory to bounded topology, for verifying this conjecture.

Keywords

Novikov conjectureHirzebruch signature theoremsplitting theoremindex theorem for familiesLusztig’s methodAtiyah–Kodaira bundleFerry’s theoremcontrolled topologyprinciple of descent
Type
Chapter
Information
Variations on a Theme of Borel
An Essay on the Role of the Fundamental Group in Rigidity
 , pp. 79 - 128
Publisher: Cambridge University Press
Print publication year: 2022

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Save book to Kindle

To save this book to your Kindle, first ensure [email protected] is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

  • How Can It Be True?
  • Shmuel Weinberger, University of Chicago
  • Book: Variations on a Theme of Borel
  • Online publication: 24 November 2022
  • Chapter DOI: https://doi.org/10.1017/9781316529645.005
Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

  • How Can It Be True?
  • Shmuel Weinberger, University of Chicago
  • Book: Variations on a Theme of Borel
  • Online publication: 24 November 2022
  • Chapter DOI: https://doi.org/10.1017/9781316529645.005
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • How Can It Be True?
  • Shmuel Weinberger, University of Chicago
  • Book: Variations on a Theme of Borel
  • Online publication: 24 November 2022
  • Chapter DOI: https://doi.org/10.1017/9781316529645.005
Available formats
×