Timeline for Why is this a local constant sheaf
Current License: CC BY-SA 2.5
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 6, 2010 at 17:05 | answer | added | Emerton | timeline score: 2 | |
| Dec 6, 2010 at 15:55 | answer | added | Simon Rose | timeline score: 0 | |
| Dec 6, 2010 at 15:55 | comment | added | Sheikraisinrollbank | Presumably what the OP means is why (or under what circumstances, I'm slightly uncomfortable with the paucity of hypotheses) is $M \times_G V$ locally trivial, rather than locally constant. | |
| Dec 6, 2010 at 15:48 | comment | added | Michael Bächtold | Maybe I'm mistaken, but if $G={1}$ is the trivial group then what you wrote is not a constant sheaf. But maybe you should explain better what sheaf you are actually talking about. G invariant sections of the bundle? | |
| Dec 6, 2010 at 15:41 | comment | added | Sheikraisinrollbank | @Harry: the notation is not for a fiber product. It means the quotient of $M×V$ by the diagonal $G$-action (perhaps with an inverse thrown in somewhere). | |
| Dec 6, 2010 at 15:22 | comment | added | Harry Gindi | What structure maps are you pulling back? | |
| Dec 6, 2010 at 14:57 | history | asked | HYYY | CC BY-SA 2.5 |