Timeline for Space of holomorphic embeddings of open unit ball in ${\mathbb C}^n$
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 3, 2019 at 7:48 | vote | accept | user102829 | ||
| Oct 2, 2019 at 14:12 | comment | added | Lev Soukhanov | @MichaelEntov ok, sure | |
| Oct 2, 2019 at 14:12 | answer | added | Lev Soukhanov | timeline score: 4 | |
| Sep 25, 2019 at 20:00 | comment | added | user102829 | @LevSoukhanov You are right! I missed it because of a wrong recollection that some gluing appears in this argument in the smooth case. Would you post it as an answer? | |
| Sep 25, 2019 at 16:43 | comment | added | Lev Soukhanov | I believe the space of holomorphic embeddings with Jacobi matrix = 1 at zero is contractible due to the standard construction $f_t = (1/t)f(zt)$, and $f_0$ defined as a limit will be equal to the identity map ($t$ changes from 1 to 0). Am I missing something? The similar proof also works in the smooth category... | |
| Sep 25, 2019 at 14:05 | history | edited | user102829 | CC BY-SA 4.0 |
edited title
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| Sep 25, 2019 at 14:04 | comment | added | user102829 | @Qfwfq For $n=1$ it seems to be true and should follow from a result claimed in Kirillov, A. A.; Golenishcheva-Kutuzova, M. I., The geometry of moments for groups of diffeomorphisms. (Russian) Akad. Nauk SSSR Inst. Prikl. Mat. Preprint 1986, no. 101, 25 pp. - also see Kirillov, A. A.; Yurʹev, D. V. Kähler geometry of the infinite-dimensional homogeneous manifold M=Diff+(S1)/Rot(S1). (Russian) Funktsional. Anal. i Prilozhen. 20 (1986), no. 4, 79–80. However I am not sure whether the results above deal with an open or a closed unit disk. | |
| Sep 25, 2019 at 11:29 | comment | added | Qfwfq | Do you know the answer for $n=1$? | |
| Sep 25, 2019 at 10:55 | history | asked | user102829 | CC BY-SA 4.0 |