Timeline for Classification of line bundles by second cohomology of a manifold
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| Sep 12, 2018 at 17:38 | comment | added | abx | Yes, this is right. And as I say in my answer, $\mathcal{O}_M$ is the sheaf of $\mathcal{C}^{\infty}$ complex-valued functions on $M$ — sorry if my notation is confusing. . | |
| Sep 12, 2018 at 15:17 | comment | added | Praphulla Koushik | That exact sequence you gave has nothing to do with "holomorphic" functions right?? Given a $\mathbb{C}$ valued smooth function $f$ on $U$ you are considering the function $exp(2\pi if)$ which is non vanishing function on $U$... That is it right? | |
| Aug 14, 2018 at 15:00 | comment | added | Praphulla Koushik | I saw this approach some time back... Thanks for your answer +1.. Do you have any specific references in your thought where this is done in a better way than others?? It is done in Brylinkski's Loop spaces, Characteristic classes and Geometric quantization (I did not read that seriously though)... | |
| Aug 14, 2018 at 14:27 | history | answered | abx | CC BY-SA 4.0 |