Timeline for references for holomorphic principal bundles (over complex manifolds)
Current License: CC BY-SA 4.0
22 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| S Jun 10, 2022 at 5:07 | history | bounty ended | CommunityBot | ||
| S Jun 10, 2022 at 5:07 | history | notice removed | CommunityBot | ||
| Jun 4, 2022 at 14:28 | comment | added | Praphulla Koushik | @MoisheKohan my question was related to principal bundles..so, I mentioned that, Kobayashi reference does not say manythings about principal bundles, so, not really useful for this situation.. | |
| Jun 3, 2022 at 23:06 | comment | added | David Roberts♦ | @PraphullaKoushik sorry, this is the only one that comes to mind | |
| Jun 3, 2022 at 14:23 | comment | added | Moishe Kohan | I am not sure what "that" refers to, but Kobayashi's book is entirely about holomorphic vector bundles. Principal bundles are hardly mentioned (appear in 10 or so pages). | |
| Jun 3, 2022 at 14:12 | comment | added | Praphulla Koushik | @MoisheKohan that is only for vector bundles, right? Not for principal bundles.. | |
| Jun 3, 2022 at 14:11 | comment | added | Praphulla Koushik | @DavidRoberts Is there any English reference by any change.. | |
| Jun 3, 2022 at 4:48 | comment | added | David Roberts♦ | Henri Cartan's paper Espaces fibres analytiques in the proceedings maths.ed.ac.uk/~v1ranick/papers/mexico.pdf is what I was thinking about. | |
| Jun 2, 2022 at 9:51 | comment | added | David Roberts♦ | I think there's a paper of Cartan on this, I'll have to ask the student I know who's looking at it to find out what it is. | |
| Jun 2, 2022 at 8:22 | comment | added | Moishe Kohan | @PraphullaKoushik: Right. | |
| Jun 2, 2022 at 6:04 | comment | added | Praphulla Koushik | @MoisheKohan you mean mathsoc.jp/assets/pdf/publications/pubmsj/Vol15.pdf? | |
| Jun 2, 2022 at 4:33 | comment | added | Moishe Kohan | I think Kobayashi has a book on this. | |
| S Jun 2, 2022 at 3:36 | history | bounty started | Praphulla Koushik | ||
| S Jun 2, 2022 at 3:36 | history | notice added | Praphulla Koushik | Authoritative reference needed | |
| May 29, 2022 at 3:46 | comment | added | Praphulla Koushik | @Z.M Not many results are coming for holomorphic torsors... If you have any specific reference in mind, please share.. | |
| May 28, 2022 at 8:26 | comment | added | Z. M | You could also try to search holomorphic torsors? | |
| May 28, 2022 at 2:23 | comment | added | Praphulla Koushik | @WillSawin can you suggest some references where I can see some details about holomorphic principal bundles... | |
| May 27, 2022 at 18:34 | comment | added | Will Sawin | For some results, once the case of vector bundles is handled, the case of principal bundles is easy. For example for the nonabelian Hodge correspondence this is discussed by Carlos Simpson in his paper "Higgs bundles and local systems". | |
| May 27, 2022 at 18:04 | comment | added | Praphulla Koushik | @BenMcKay yes.. i remember seeing (complex analytic) principal bundle over complex manifolds.. i am thinking why is there not much work... I see some ork of Indranil.. | |
| May 27, 2022 at 17:51 | comment | added | Ben McKay | I often recommend Atiyah, Complex analytic connections in fiber bundles, TAMS, 1957. It is not a reference for the general theory, but a very elegant paper in which Atiyah makes important discoveries about holomorphic principal bundles. | |
| May 27, 2022 at 17:42 | comment | added | Praphulla Koushik | holomorphic vector bundles are very popular.. but, holomorphic principal bundles does not seem to be that popular yet... there are only one or two relevant results came when I searched for "holomorphic principal bundles" in google.. | |
| May 27, 2022 at 17:40 | history | asked | Praphulla Koushik | CC BY-SA 4.0 |