Timeline for Centralizers in diffeomorphism groups
Current License: CC BY-SA 4.0
14 events
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| Oct 8, 2023 at 9:09 | comment | added | Ali Taghavi | @Alejandro The symplectic version of centralizer problem is also a related question. Plz see the last lines of this post mathoverflow.net/questions/193650/… | |
| May 4, 2023 at 5:01 | history | edited | YCor | CC BY-SA 4.0 |
provided journal ref
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| Apr 5, 2023 at 13:43 | comment | added | Aleksander Skenderi | @Alejandro thank you very much for the reference! | |
| Apr 5, 2023 at 13:42 | comment | added | Alejandro | As far as I know, the best characterization of the centralizer of generic area-preserving diffeomorphisms of the sphere $\mathbb{S}^2$ so far is given by the paper of Lizzie Burslem ams.org/journals/proc/2005-133-04/S0002-9939-04-07675-0/… | |
| Apr 5, 2023 at 12:53 | history | edited | Aleksander Skenderi | CC BY-SA 4.0 |
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| Apr 5, 2023 at 12:42 | comment | added | YCor | Unimportant remark: The choice of the letter $\omega$ in $\mathrm{Diff}_\omega$ might be misread as analytic diffeomorphisms. | |
| Apr 5, 2023 at 12:33 | history | edited | Aleksander Skenderi | CC BY-SA 4.0 |
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| Apr 5, 2023 at 12:28 | comment | added | Aleksander Skenderi | @MartinM.W. Good point. I am in fact interested primarily in the case of the 2-sphere, so I can specify this. | |
| Apr 5, 2023 at 11:55 | comment | added | Asaf | @MartinM.W. the rotation group is still cyclic (or more accurately, monothetic) as it is the closure of the cyclic group generated by one element (any irrational rotation). | |
| Apr 5, 2023 at 10:53 | comment | added | Martin M. W. | A very minor point: if $M$ is the circle, then I think volume-preserving diffeomorphisms will just be the rotations, so in fact they all commute. You may want to specify that $M$ has dimension at least two. | |
| Apr 5, 2023 at 0:43 | history | edited | YCor | CC BY-SA 4.0 |
formatting
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| Apr 4, 2023 at 23:32 | history | edited | Aleksander Skenderi | CC BY-SA 4.0 |
edited title
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| S Apr 4, 2023 at 23:32 | review | First questions | |||
| Apr 5, 2023 at 0:15 | |||||
| S Apr 4, 2023 at 23:32 | history | asked | Aleksander Skenderi | CC BY-SA 4.0 |