Timeline for Loop space: De Rham cohomology
Current License: CC BY-SA 3.0
15 events
| when toggle format | what | by | license | comment | |
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| Aug 30, 2012 at 16:22 | vote | accept | CommunityBot | ||
| Aug 30, 2012 at 16:22 | history | bounty ended | Jonujohn | ||
| Aug 30, 2012 at 10:54 | history | edited | Jonujohn | CC BY-SA 3.0 |
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| Aug 23, 2012 at 20:27 | answer | added | eigenbunny | timeline score: 3 | |
| Aug 23, 2012 at 20:09 | comment | added | Somnath Basu | What kind of differential forms are you thinking of when you say "de Rham cohomology" in the context Frechet manifold? In case you need this for $LM:=C^0(S^1,M)$ and for singular cohomology then a lot more can be said; the Betti numbers of $LM$ can be computed for a large class of $M$. | |
| Aug 23, 2012 at 19:53 | answer | added | zapkm | timeline score: 1 | |
| Aug 23, 2012 at 16:12 | history | bounty started | Jonujohn | ||
| Aug 23, 2012 at 16:11 | history | edited | Jonujohn | CC BY-SA 3.0 |
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| Aug 17, 2012 at 18:21 | history | edited | Jon Bannon | CC BY-SA 3.0 |
I don't know how to include the accent aigue here...
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| Aug 17, 2012 at 18:15 | answer | added | Igor Rivin | timeline score: 2 | |
| Aug 17, 2012 at 13:30 | comment | added | Andrew Stacey | I would probably start with Chen's papers on iterated integrals, such as ams.org/mathscinet-getitem?mr=380859 | |
| Aug 17, 2012 at 12:50 | comment | added | Thomas Rot | Of course the question I linked is asking fof singular homology. I do not know anything about the De-Rham complex on infinite dimensional spaces. | |
| Aug 17, 2012 at 12:29 | comment | added | Steven Gubkin | I would talk to Andrew Stacey or Patrick Iglesias-Zemmour. | |
| Aug 17, 2012 at 12:28 | comment | added | Thomas Rot | This might be of interest math.stackexchange.com/questions/48637/… . Once you computed the homology of the based loop space, it is possible via the free loop space fibration $\Omega M\rightarrow \Lambda M\rightarrow M$ to write down spectral sequence which relates the homologies of $M,\Omega M$, and $\Lambda M$. | |
| Aug 17, 2012 at 12:02 | history | asked | Jonujohn | CC BY-SA 3.0 |