Timeline for Group cohomology with compact support
Current License: CC BY-SA 2.5
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 30, 2015 at 19:03 | answer | added | jkramerm | timeline score: 1 | |
| Jan 7, 2015 at 16:21 | comment | added | Werner Thumann | Complementing Yemon Choi's comment: Maybe you mean Prop. 7.5 on p. 209 in Brown's book. | |
| Mar 26, 2011 at 13:22 | comment | added | Joël | Donu, you're right! The $H^n_c$ of $\mathbb{R}^n$ has dimension $1$. Thanks, you made me realize I don't know even know one definition of $H^i_c(\Gamma,V)$. Yet I have seen people using it in various context without further notice. In each cases I remember of, there was a "natural" $B\Gamma$, but it was not said that $H^i_c$ was defines using this particular $B\Gamma$. Perhaps it was clear for the expert. Well, I have some reading to do: thanks to all for the references. I'll try to edit my question (which right now is meaningless) when I understand. | |
| Mar 25, 2011 at 12:14 | comment | added | Donu Arapura | In your main example(s), you seem to have a preferred model for the classifying space. In general, $B\Gamma$ is only well defined up to homotopy, but (unless I'm missing something) your definition is not invariant under $B\Gamma\mapsto B\Gamma\times \mathbb{R}^n$. | |
| Mar 25, 2011 at 8:52 | answer | added | stefan | timeline score: 1 | |
| Mar 21, 2011 at 3:06 | comment | added | Yemon Choi | (by which I mean: a general definition of group cohomology with compact support. If memory serves correctly, you take coefficients in the integral group ring, with regular left action and trivial right action) | |
| Mar 21, 2011 at 3:04 | comment | added | Yemon Choi | I think this is in Brown's "Cohomology of groups" but I don't have a copy at hand to check | |
| Mar 21, 2011 at 0:45 | answer | added | monodromy | timeline score: 1 | |
| Mar 21, 2011 at 0:15 | history | asked | Joël | CC BY-SA 2.5 |