Timeline for Can a homotopy inverse of the map from a Lie group to loops on its classifying space be given by holonomy?
Current License: CC BY-SA 2.5
6 events
| when toggle format | what | by | license | comment | |
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| Jan 21, 2011 at 12:52 | comment | added | John Klein | @David: yeah. Stasheff's approach is more-or-less what I write about below. | |
| Jan 21, 2011 at 1:03 | comment | added | David Roberts♦ | May I remind you, Bill, of Jim Stasheff's “Parallel” transport in fibre spaces, Bol. Soc. Mat. Mexicana (2), 11:68–84, 1966. and Parallel transport and classification of fibrations in Springer's LNM 428. | |
| Jan 20, 2011 at 22:55 | comment | added | Bill Thurston | @Todd: I've "wasted" a lot of time muddling through formal descriptions of things and trying to come to terms with them intuitively, so I like passing them on if it might help save someone from either muddle or time or both. I'm curious now in what generality the notion of "connection" can work. I think it should work for locally contractible topological groups, but I wonder about topological groups that are not locally contractible. Maybe it works anyway, when the base is a CW complex. | |
| Jan 20, 2011 at 22:07 | vote | accept | Todd Trimble | ||
| Jan 20, 2011 at 22:07 | comment | added | Todd Trimble | Thank you, Bill, for walking me through that! Your visual, concrete description in the case SO(n) is quite helpful, and your general description is easier than I was expecting it to be -- I really appreciate it. | |
| Jan 20, 2011 at 18:23 | history | answered | Bill Thurston | CC BY-SA 2.5 |