Timeline for Differentiable structure on the Gauge group of a principal bundle?
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 18, 2014 at 8:43 | vote | accept | David Hornshaw | ||
| Jun 17, 2014 at 19:42 | answer | added | Christoph Wockel | timeline score: 5 | |
| Jun 17, 2014 at 11:54 | answer | added | Igor Khavkine | timeline score: 3 | |
| Jun 17, 2014 at 9:32 | comment | added | David Hornshaw | Maybe I'm wrong, but I thought the gauge group would be identified with $C^{\infty}(P,G)$ which are $G$-equivariant, or global sections of $P\times_{Ad}G$. Would you have references how to get a Frechet space structure on either? | |
| Jun 17, 2014 at 9:18 | comment | added | ThiKu | Then the gauge group can be identified with $C^\infty(M,G)$ and differentiation of paths in this space is discussed in the second-to-last example of en.wikipedia.org/wiki/Fréchet_space together with en.wikipedia.org/wiki/Differentiation_in_Fréchet_spaces | |
| Jun 17, 2014 at 9:09 | comment | added | ThiKu | The differentiable structure is just part of the structure of a Lie group. So when talking about G-principal bundles one means that G is a Lie group (with a given differentiable structure). | |
| Jun 17, 2014 at 9:00 | history | asked | David Hornshaw | CC BY-SA 3.0 |