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Dec 15, 2011 at 10:02 vote accept Chris Judge
Dec 14, 2011 at 19:00 comment added Ian Agol Chris, these are called non-Haken manifolds (or orbifolds). There are many examples known. Here's some references: Ch. 4 of Thurston's notes ams.org/mathscinet-getitem?mr=2026837 (this has a literature survey, see citations therein) front.math.ucdavis.edu/0909.4625
Dec 14, 2011 at 18:59 answer added Autumn Kent timeline score: 8
Dec 14, 2011 at 18:46 history asked Chris Judge CC BY-SA 3.0