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3 - First Contact: the Proper Category

Published online by Cambridge University Press:  24 November 2022

Shmuel Weinberger
Shmuel Weinberger
Affiliation:
University of Chicago
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Summary

We raise the ante, by explaining why the heuristic in Chapter 1 prima facie fails. The explanation requires some surgery theory, which will be important throughout the remainder of the book, and facts about lattices, from a variety of sources.

Keywords

nonuniform latticesPontrjagin classBorel–Serre compactificationTits buildingcuspsurgery spherical fibrationstrong approximationproperty (T)amenabilityMatsushima formulamodular symbols
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Chapter
Information
Variations on a Theme of Borel
An Essay on the Role of the Fundamental Group in Rigidity
 , pp. 31 - 78
Publisher: Cambridge University Press
Print publication year: 2022

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