Timeline for Diffeomorphism groups of h-cobordant manifolds
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
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| Feb 19, 2021 at 16:32 | answer | added | Oscar Randal-Williams | timeline score: 6 | |
| Feb 19, 2021 at 11:16 | history | edited | Greg Friedman | CC BY-SA 4.0 |
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| Jan 28, 2021 at 19:25 | comment | added | Ben Wieland | I suspect that the theorem of Longoni-Salvatore is relevant. Homotopy equivalent lens spaces do not have homotopy equivalent configuration spaces ($X^2-\Delta$); but the group of homeomorphisms of $X$ acts on the configuration space. | |
| Jan 28, 2021 at 9:24 | comment | added | archipelago | It seems worth thinking first about the analogous (easier) question for block-diffeomorphisms. | |
| Jan 27, 2021 at 19:39 | comment | added | skupers | I would look at $L(7,1) \times S^4$ and $L(7,2) \times S^4$ (or maybe a higher-dimensional version thereof). These are h-cobordant but not diffeomorphic by a result of Milnor, and their diffeomorphisms seem pretty accessible through surgery theory and pseudoisotopy theory. | |
| Jan 27, 2021 at 19:33 | comment | added | Connor Malin | @user51223 Preferably, in dimensions where s-cobordism applies. | |
| Jan 27, 2021 at 19:21 | comment | added | user51223 | So should you look at dimensions 3 and 4? | |
| Jan 27, 2021 at 19:06 | history | edited | Connor Malin | CC BY-SA 4.0 |
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| Jan 27, 2021 at 18:35 | history | asked | Connor Malin | CC BY-SA 4.0 |