Timeline for About the homotopy type of diffeomorphism groups
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
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| Jun 18, 2021 at 6:30 | answer | added | Ryan Budney | timeline score: 2 | |
| Mar 27, 2016 at 13:29 | history | edited | YCor | CC BY-SA 3.0 |
improved the question by incorporating the comments
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| Mar 27, 2016 at 10:20 | history | edited | Ben McKay | CC BY-SA 3.0 |
formatting
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| Mar 27, 2016 at 0:32 | comment | added | s k | @ YCor. I'm sorry I thought you're asking me to clarify the question. The topology on $Diff(M)$ is the $C^ \infty $-topology. $D^n_+ $ is the upper hemisphere and $\Gamma^{n+i+1}$ is identified with the set of diffeomorphism types of smooth manifolds that are homeomorphic to $S^n$, its construction is in page 12-13. | |
| Mar 27, 2016 at 0:07 | comment | added | YCor | But I was asking about notation, what is $Diff(X,Y)$, with which topology, what is $D_n^+$, what is $\Gamma^k$ etc (I found some of the answers in the linked paper but it's better if it's briefly included here). | |
| Mar 26, 2016 at 23:44 | comment | added | s k | @ YCor. What I'm asking about in the first part of the question is if there are results about detecting non-triviality of some homotopy groups of Diff(M) when M is not a sphere. For the second part of the question, the homomorphism L sends homotopy groups of Diff(S,D) into Kervaire-Milnor group $Γ$. I asked if there is a similar homomorphism for general homotopy groups of Diff(M). | |
| Mar 26, 2016 at 23:40 | comment | added | YCor | Please could you explain your notation? | |
| Mar 26, 2016 at 22:51 | history | asked | s k | CC BY-SA 3.0 |