Can lattices in SL(n,R) act on the circle?
arXiv:0811.0051
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.
This version corrects an error in the proof of the Moore Ergodicity Theorem