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May 7, 2019 at 15:06 vote accept Boris Bilich
May 7, 2019 at 15:07
May 7, 2019 at 13:02 history edited YCor CC BY-SA 4.0
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May 7, 2019 at 12:51 comment added YCor Now in arbitrary degree I don't have a general description, but I now provide a 4-dimensional example (e) where both directions of the conjecture fail.
May 7, 2019 at 12:50 history edited YCor CC BY-SA 4.0
added counterexamples in both directions
May 7, 2019 at 11:49 history edited YCor CC BY-SA 4.0
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May 7, 2019 at 9:36 history edited YCor CC BY-SA 4.0
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May 7, 2019 at 9:20 history edited YCor CC BY-SA 4.0
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May 7, 2019 at 8:42 history edited YCor CC BY-SA 4.0
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May 7, 2019 at 6:49 comment added YCor OK for some reason I thought the focus was on $H_1$, so this is just partial information. Note that $H_0(\mathfrak{g},V_\lambda)=0$ iff $\lambda\neq 0$, so for $\lambda=0$ the homology does not vanish.
May 7, 2019 at 5:08 comment added Boris Bilich Nice! But my question was on higher homologies too! (I'm sorry if that was unclear) I am interested when any(from 0 to nth) homologies vanish.
May 6, 2019 at 22:35 history answered YCor CC BY-SA 4.0