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5 - Playing the Novikov Game

Published online by Cambridge University Press:  24 November 2022

Shmuel Weinberger
Shmuel Weinberger
Affiliation:
University of Chicago
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Summary

The Novikov conjecture is put into a larger context, and we explain when the conjectures one is led to in this way tend to be deep facts about the fundamental group, and when they are theorems. We give examples from differential geometry, algebraic geometry, and transformation groups.

Keywords

scalar curvatureGromov–Lawson–Rosenberg conjectureNovikov’s theorembirational invariantsgroup actionsindex theoryBaum–Connes conjecture
Type
Chapter
Information
Variations on a Theme of Borel
An Essay on the Role of the Fundamental Group in Rigidity
 , pp. 129 - 185
Publisher: Cambridge University Press
Print publication year: 2022

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