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Timeline for A remark by Gromov on 4-manifolds

Current License: CC BY-SA 3.0

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Aug 24, 2012 at 9:03 comment added Misha @Bruno: This is a theorem by Panov and Petrunin: arxiv.org/abs/1104.4814
Aug 6, 2012 at 14:40 comment added Ian Agol @Misha: Ok, I see, I also missed the part about allowing elliptic elements.
Aug 6, 2012 at 14:05 comment added Bruno Martelli @Misha: How do we know that?
Aug 6, 2012 at 5:42 comment added Misha Ian, I think, Gromov expects that every close PL 4-manifold is the quotient of the hyperbolic space by a discrete group with elliptic elements. Now that we know that every fp group could be the fundamental group of such quotient, maybe it is not such an outrageous expectation. If this is true then you get quotients that are homeo but not diffeo to each other.
Aug 6, 2012 at 3:49 history edited Ian Agol CC BY-SA 3.0
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Aug 5, 2012 at 22:03 history answered Ian Agol CC BY-SA 3.0