Timeline for Cohomology of $G_3(\mathbb{R}^5)$
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
|
|
| Aug 20, 2015 at 15:46 | vote | accept | Mark Grant | ||
| Aug 16, 2015 at 22:31 | comment | added | Robert Bryant | One suggestion: Use the fact that the oriented double cover of $G_3(\mathbb{R}^5)$ is the complex $3$-quadric $Q_3$. The integral cohomology of this is well-known, and you have $G_3(\mathbb{R}^5)$ as the base of a $\mathbb{Z}_2$-bundle whose total space is $Q_3$. (The $\mathbb{Z}_2$-action on $Q_3$ is just complex conjugation.) I think that you can then figure out the integral cohomology of $G_3(\mathbb{R}^5)$ using a standard spectral sequence argument. | |
| Aug 16, 2015 at 19:53 | answer | added | Danny Ruberman | timeline score: 12 | |
| Aug 16, 2015 at 17:50 | history | asked | Mark Grant | CC BY-SA 3.0 |