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Apr 2, 2018 at 22:21 answer added Aleksandar Milivojević timeline score: 6
Sep 28, 2016 at 14:09 vote accept CommunityBot
Aug 2, 2016 at 20:06 comment added Ben McKay Do you want harmonic forms for some Hermitian metric? Perhaps for a Gauduchon metric? Michael Albanese's examples are not harmonic, so you can't really see the difference between Kaehler and non-Kaehler manifolds.
Aug 2, 2016 at 16:54 history edited Michael Albanese CC BY-SA 3.0
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Aug 2, 2016 at 5:09 history edited Michael Albanese CC BY-SA 3.0
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Aug 2, 2016 at 5:07 answer added Michael Albanese timeline score: 10
Sep 9, 2015 at 5:12 comment added Steven Gubkin It seems that this answers your question: mathoverflow.net/a/95377/1106
Sep 9, 2015 at 5:09 comment added user39380 Yes, compact complex manifold.
Sep 9, 2015 at 3:33 comment added Steven Gubkin If I am not being silly, I think $\frac{1}{z} dz$ and $\frac{1}{\overline{z}} d\overline{z}$ both represent generators of $H^1(X)$, where $X$ is the plane with the origin deleted? Did you want $X$ compact as well?
Sep 9, 2015 at 3:20 history asked user39380 CC BY-SA 3.0