Timeline for Global Definition of the Dolbeault Complex of a Vector Bundle
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 1, 2012 at 20:44 | vote | accept | Jean Delinez | ||
| Aug 1, 2012 at 19:36 | comment | added | Peter Dalakov | Locally $\overline{\partial}_E$ "looks like" $\overline{\partial}$, but this is because you have chosen a holomorphic trivialisation of $E$. As a global operator $\overline{\partial}_E$ is not something that you can get from $\overline{\partial}$, i.e., from the complex structure on $M$. It is determined by (and determines) the holomorphic structure on $E$. There may be many such (or none) on the same complex vector bundle. | |
| Aug 1, 2012 at 18:13 | answer | added | Peter Dalakov | timeline score: 7 | |
| Aug 1, 2012 at 16:53 | answer | added | David E Speyer | timeline score: 3 | |
| Aug 1, 2012 at 16:21 | history | edited | Jean Delinez | CC BY-SA 3.0 |
added 143 characters in body; edited tags; added 87 characters in body; edited title
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| Aug 1, 2012 at 16:15 | history | asked | Jean Delinez | CC BY-SA 3.0 |