Timeline for Manifolds with $[,]:H^1(X,T_X)\times H^1(X,T_X)\rightarrow 0$
Current License: CC BY-SA 4.0
3 events
| when toggle format | what | by | license | comment | |
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| Jun 24, 2021 at 8:09 | comment | added | Tom | @abx, I think I have made a stupid mistake, for $\phi=\phi_1 t+\phi_2 t^2+\phi_3 t^3+...$, I wrongly think all the $\phi_i \in H^1(X,T_X)$, but actually, except for $i=1$, $\phi_i$ only in $\Gamma(X,A^{0,1}(T_X))$. | |
| Jun 24, 2021 at 4:49 | comment | added | abx | No, this just tells you that there is no first order obstruction to deform $X$. If you can read french, I recommend this seminar lecture by Douady, in particular the counter-example at the end. | |
| Jun 24, 2021 at 2:15 | history | asked | Tom | CC BY-SA 4.0 |