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arXiv · 0811.0051

Can lattices in SL(n,R) act on the circle?

Dave Witte Morris
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Abstract

This expository paper describes the various methods that have yielded partial results on the conjecture that if n > 2, then no lattice in SL(n,R) has a faithful action on the circle (by homeomorphisms). Topics include amenability, Kazhdan's property (T), bounded cohomology, bounded generation, and the Reeb-Thurston Stability Theorem.

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Dave Witte Morris. 2009-02-04. Can lattices in SL(n,R) act on the circle?. https://arxiv.org/abs/0811.0051

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