Timeline for structure group of equivariant bundle
Current License: CC BY-SA 3.0
6 events
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Oct 15, 2013 at 14:50 | history | edited | yangyang | CC BY-SA 3.0 |
added 409 characters in body
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Oct 12, 2013 at 21:27 | comment | added | Bombyx mori | @yangyang: Yes, they has to commute. You can write out local trivilizations and this become $g(\phi(e))=\phi(g(e))$, which means $g$' action does not depend on the charts. | |
Oct 12, 2013 at 13:36 | answer | added | Peter May | timeline score: 2 | |
Oct 12, 2013 at 12:12 | comment | added | Tom Goodwillie | Also beware that "equivariant bundle" often means a bundle in which $G$ acts on both $E$ and $B$, compatibly. | |
Oct 12, 2013 at 12:11 | comment | added | Tom Goodwillie | Beware of the phrase "the fibre". There is not a canonical action of $GL(R^k)$ on each fibre of a rank $k$ vector bundle. | |
Oct 12, 2013 at 12:03 | history | asked | yangyang | CC BY-SA 3.0 |