Timeline for Atiyah Sequence and Connections on a Principal Bundle
Current License: CC BY-SA 4.0
11 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 31, 2019 at 10:58 | comment | added | Praphulla Koushik | What do you think would be motivation for defining connection in this fashion...? | |
| Jul 22, 2019 at 14:54 | comment | added | Praphulla Koushik | The horizontal bundle is the image of $TM$ under the isomorphism $VP\oplus TM \cong (TP)/G$ is a sub bundle of the bunlde $TP/G$ and not $TP$ which is the usual place where horizontal bundle is located at.. I am trying to figure out what I am missing... You need not respond if you are busy.. This is note for my self too.. | |
| May 13, 2019 at 5:19 | vote | accept | Praphulla Koushik | ||
| May 13, 2019 at 5:19 | comment | added | Praphulla Koushik | Oh.. Ok.. Thanks :) | |
| May 12, 2019 at 21:53 | history | edited | Tobias Diez | CC BY-SA 4.0 |
added 4 characters in body
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| May 12, 2019 at 21:53 | comment | added | Tobias Diez | Yes, thanks for pointing this out. Changed my answer accordingly. | |
| May 12, 2019 at 10:03 | comment | added | Praphulla Koushik | You mean $\frac{TE_G}{G}\cong VE_G\oplus TM$ and not $TE_G \cong VE_G\oplus TM$. right? Am I missing something? | |
| May 10, 2019 at 17:41 | comment | added | Praphulla Koushik | Can you give some reference to read about this Atiyah sequence in more detail? | |
| May 10, 2019 at 9:56 | vote | accept | Praphulla Koushik | ||
| May 12, 2019 at 10:02 | |||||
| May 7, 2019 at 4:40 | comment | added | Praphulla Koushik | Hi, thanks for your answer...if $ad(E_G)$ is identified with vertical tangent bundle $VE_G$ and Atiyah bundle $At(E_G)$ is fancy way of writing the quotient $TE_G/G$ then, I think I understand what this Atiyah sequence has to do with connection.. I will try to write down how “$At(E_G)$ is fancy way of writing the quotient $TE_G/G$” thanks thanks... | |
| May 6, 2019 at 18:52 | history | answered | Tobias Diez | CC BY-SA 4.0 |