Timeline for Balanced manifolds and the $dd^c$-lemma
Current License: CC BY-SA 4.0
3 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 7, 2023 at 21:36 | comment | added | AmorFati | @user48958 Thank you for the message, and the for the reference. I will take a look :-) | |
| Apr 3, 2023 at 17:49 | comment | added | user48958 | I think that an example of a balanced manifold that doesn't satisfy the $\partial\bar\partial$-lemma is the twistor space of an ASD (anti-self-dual) manifold. The $\partial\bar\partial$-lemma is equivalent with the injectivity of the natural map $H^{1,1}_{BC}(X)\to H^{1,1}_A(X)$, and this fails in general for twistor spaces, see for instance this paper arxiv.org/abs/1608.08721, section 3.1. And a twistor space is balanced. | |
| Mar 27, 2023 at 23:08 | history | asked | AmorFati | CC BY-SA 4.0 |