Timeline for What can we say about the map $\pi^{*}\pi_{*}$ for $\pi:X\rightarrow X/G$?
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
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| Jan 7, 2013 at 20:13 | answer | added | Sasha | timeline score: 3 | |
| Jan 7, 2013 at 15:08 | comment | added | user30379 | For $\pi_{\ast}\pi^{\ast}$ one can say much more than the limited statement you make about integral cohomology, and such refinements are useful. Please think for yourself about more interesting things for $\pi_{\ast}\pi^{\ast}$. One can "say things" about $\pi^{\ast}\pi_{\ast}$ (perhaps $\mathcal{F} \rightarrow (\pi^{\ast}\pi_{\ast}\mathcal{F})^G$ being an isomorphism is what you want?), but what is the goal? This question is too vague. | |
| Jan 7, 2013 at 14:41 | comment | added | HJRW | It maps a cochain to its orbit under the group action. | |
| Jan 7, 2013 at 14:35 | history | asked | Junho | CC BY-SA 3.0 |