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Jan 28, 2021 at 22:06 vote accept user101010
Dec 10, 2020 at 9:30 comment added user101010 Thanks this was very helpful! A quick look through those references does seem to suggest that the Poincaré homology sphere is so far the only homology sphere (other than $S^3$) that is popping up.
Dec 10, 2020 at 3:48 history answered Josh Howie CC BY-SA 4.0