Timeline for Spaces of Killing spinors for different orientation
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
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| Dec 1, 2015 at 9:17 | comment | added | Sebastian Goette | The map $F$ in the edit is a bundle diffeo, but it does not intertwine the $SO(n)$-actions. You can get that if $n$ is odd by reversing the sign of all basis vectors. You cannot get it in general if $n$ is even because the Euler class would change its sign. However, the union of the two principal bundles become an $O(n)$ bundle. If you twist a $Spin(n)$-principal bundle with $Pin(n)$, you get a $Pin(n)$ principal bundle with an induced connection. You can still associate a spinor bundle with connection, and the second connected component becomes a $Spin(n)$ principal bundle for $o_2$. | |
| Nov 29, 2015 at 9:49 | history | edited | uro | CC BY-SA 3.0 |
added 633 characters in body
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| Nov 28, 2015 at 21:01 | answer | added | Sebastian Goette | timeline score: 1 | |
| Nov 28, 2015 at 17:31 | history | asked | uro | CC BY-SA 3.0 |