Timeline for Why is the $\operatorname{GL}_n$ character variety "cohomologically" the product of the $\operatorname{PGL}_n$ character variety and a torus?
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 22, 2021 at 16:10 | history | edited | Sean Lawton | CC BY-SA 4.0 |
added 15 characters in body
|
| Oct 21, 2021 at 12:52 | comment | added | Sean Lawton | @DavidESpeyer You are very welcome :) Feel free to email too if you want to chat about character varieties. | |
| Oct 21, 2021 at 12:48 | comment | added | David E Speyer | Thank you very much! | |
| Oct 21, 2021 at 12:48 | vote | accept | David E Speyer | ||
| Oct 21, 2021 at 12:36 | history | edited | Sean Lawton | CC BY-SA 4.0 |
added 10 characters in body
|
| Oct 21, 2021 at 12:34 | comment | added | Will Sawin | I guess another way to say this is that the way passing to a $\mathbb G_m$-bundle changes the cohomology is determined by its Chern class, and here all $2g$ $\mathbb G_m$-bundles are $n$-torsion and so their Chern classes are rationally trivial. | |
| Oct 21, 2021 at 12:31 | history | edited | Sean Lawton | CC BY-SA 4.0 |
Improved formatting, and the previous edit was adding notation definition before use.
|
| Oct 21, 2021 at 12:24 | history | answered | Sean Lawton | CC BY-SA 4.0 |