Timeline for Nonabelian Hodge correspondence for $\mathbb{G}_m$
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| Nov 13 at 19:10 | comment | added | Antoine Labelle | Also, am I understanding correctly that the nonabelian Hodge correspondence for $GL_n$ on the locus of stable bundles follows immediately from Narasimhan–Seshadri by the same reasoning, but that you need to do more work to understand the semistable case? | |
| Nov 13 at 19:07 | comment | added | Antoine Labelle | I think I see, thanks. I guess the fact that there exists a unique unitary connection on every line bundle follows from the Narasimhan–Seshadri theorem, but is there an easy way to see it for line bundles? | |
| Nov 13 at 14:30 | comment | added | Will Sawin | The canonical connection will be the unique unitary connection. | |
| Nov 13 at 14:18 | history | asked | Antoine Labelle | CC BY-SA 4.0 |