Timeline for cohomology of BG, G compact Lie group
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
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| Apr 26, 2021 at 7:02 | history | edited | David Roberts♦ | CC BY-SA 4.0 |
Fixed/added links
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| Apr 17, 2011 at 14:40 | comment | added | Allen Hatcher | @ Dave Anderson: The isomorphism $ H^\ast(X/\Gamma;{\Bbb Q}) = H^\ast(X;{\Bbb Q})^\Gamma $ is a simple application of the transfer homomorphism. For a textbook proof see my algebraic topology book, Proposition 3G.1, page 321. | |
| Apr 17, 2011 at 5:47 | comment | added | Dave Anderson | The reference I know for the general fact $H^\ast(X/\Gamma;{\Bbb Q}) = H^\ast(X;{\Bbb Q})^\Gamma$ (for $\Gamma$ a finite group acting freely) is Grothendieck's Tohoku paper, which of course uses a lot of spectral sequences. Grothendieck remarks that this can be proved much more easily, presumably along the lines Allen K. indicates. Does anyone know an earlier/easier reference? (Cf. the answer here: mathoverflow.net/questions/18898/… ) | |
| Apr 15, 2011 at 9:38 | comment | added | José Figueroa-O'Farrill |
I added the missing asterisks: it is safer to use \ast than *.
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| Apr 15, 2011 at 9:38 | history | edited | José Figueroa-O'Farrill | CC BY-SA 3.0 |
Added the missing asterisks: safer to use \ast than *
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| Apr 15, 2011 at 9:26 | history | answered | Ralph | CC BY-SA 3.0 |