Timeline for Hard Lefschetz Theorem for the Flag Manifolds
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 16, 2015 at 15:36 | comment | added | David E Speyer | Not sure where to find a reference, but it isn't hard to see. Two homotopic maps induce the same map on cohomology. So, if $G$ is a path connected group acting on a space $X$, and $g_1$ and $g_2$ are two points of $X$, then pick a path $\gamma$ from $g_1$ to $g_2$, and $\gamma \times X \to X$ provides a homotopy between the actions of $g_1$ and $g_2$. I wonder if I am misunderstanding the question. | |
| Feb 16, 2015 at 14:52 | comment | added | Falertu Vatilski | Wow, what a nice result! Do you have reference for this please? | |
| Feb 16, 2015 at 12:53 | comment | added | David E Speyer | All of them. A connected group always acts trivially on cohomology. | |
| Feb 15, 2015 at 18:53 | vote | accept | Falertu Vatilski | ||
| Feb 15, 2015 at 18:52 | comment | added | Falertu Vatilski | Thank you a lot, that give me enough for now to be thinking about! But please, one question more, which of the Schubert classes of the Grassmannians is invariant with respect to the action of $SL_n$? Maybe I should to ask this as the separate question? | |
| Feb 14, 2015 at 21:05 | history | answered | David E Speyer | CC BY-SA 3.0 |