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arXiv · 0809.4849

Groups acting on manifolds: around the Zimmer program

David Fisher
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Abstract

This paper is a survey on the {\em Zimmer program}. In it's broadest form, this program seeks an understanding of actions of large groups on compact manifolds. The goals of this survey are $(1)$ to put in context the original questions and conjectures of Zimmer and Gromov that motivated the program, $(2)$ to indicate the current state of the art on as many of these conjectures and questions as possible and $(3)$ to indicate a wide variety of open problems and directions of research.

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David Fisher. 2008-12-05. Groups acting on manifolds: around the Zimmer program. https://arxiv.org/abs/0809.4849

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