Timeline for Classifying $PGL(n,\mathbb{C})$-bundles over a compact Riemann surface
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| Apr 21, 2018 at 10:26 | comment | added | Matthias Wendt | Classification in terms of $\pi_1(PGL(n,\mathbb{C}))$ works for $X=\mathbb{P}^1$. For genus $\geq 1$, classification is in terms of ${\rm Hom}(\pi_1(X),{\rm PGL}_n(\mathbb{C}))$ as in the comment of @ArunDebray. Arguments for that can be extracted from the answer to this MO-question: mathoverflow.net/questions/20764 | |
| Apr 21, 2018 at 6:40 | comment | added | Hajime_Saito | @ArunDebray : No, I meant $\pi_1(PGL(n,\mathbb{C})$ only. | |
| Apr 20, 2018 at 19:55 | comment | added | Arun Debray | Did you mean $\mathrm{Hom}(\pi_1(X), \mathrm{PGL}_n(\mathbb C))$ instead of $\pi_1(\mathrm{PGL}_n(\mathbb C))$? The latter does not depend on $X$, which seems weird. | |
| Apr 20, 2018 at 17:00 | review | First posts | |||
| Apr 20, 2018 at 17:10 | |||||
| Apr 20, 2018 at 16:56 | history | asked | Hajime_Saito | CC BY-SA 3.0 |