Timeline for How do you relate the number of independent vector fields on spheres and Bott Periodicity for real K-Theory?
Current License: CC BY-SA 2.5
13 events
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| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
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| Feb 27, 2012 at 14:25 | comment | added | Robert Bruner | I take it you are unsatisfied with Adams' account in his Annals paper "Vector Fields on Spheres", but if you haven't read that, you should. He is a master of exposition. | |
| Mar 28, 2010 at 2:02 | history | edited | Sam Derbyshire | CC BY-SA 2.5 |
Fleshed out explanation of vector fields from clifford modules, added motivation for the relation
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| Mar 28, 2010 at 2:00 | comment | added | Sam Derbyshire | I have been trying to read this paper, but I find it quite technical at times. Also, I did not find an explicit explanation of the relation between KO and the vector field problem, but maybe someone who has a better understanding of the material can find this connection implicitly described. | |
| Mar 15, 2010 at 21:34 | answer | added | Dan Ramras | timeline score: 9 | |
| Mar 15, 2010 at 20:14 | comment | added | Charles Rezk | Have you looked at the paper by Atiyah, Bott, and Shapiro, "Clifford Modules" (Topology v.3 supp.1)? This talks about both the real and complex cases, and explicitly relates modules over clifford algebras to the homotopy of the infinite orthogonal group and infinite unitary group. In the last section, they discuss the relation between Clifford algebras and the vector field problem. | |
| Mar 15, 2010 at 19:29 | history | edited | Sam Derbyshire | CC BY-SA 2.5 |
Added more motivation.
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| Mar 15, 2010 at 7:27 | answer | added | Mike-Doherty | timeline score: 7 | |
| Mar 15, 2010 at 0:27 | answer | added | Charles Rezk | timeline score: 10 | |
| Mar 14, 2010 at 21:06 | history | edited | Sam Derbyshire | CC BY-SA 2.5 |
Precised: KO instead of K.
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| Mar 14, 2010 at 20:48 | comment | added | Sam Derbyshire | I was looking at that, but I didn't find any information about Bott Periodicity in the real case. I think the answer will probably involve something about the J-homomorphism and the Adams conjecture, but I don't really know much about that. | |
| Mar 14, 2010 at 20:24 | comment | added | Mariano Suárez-Álvarez | Husemoller's Fiber Bundles has details, if I recall correctly. | |
| Mar 14, 2010 at 19:06 | history | asked | Sam Derbyshire | CC BY-SA 2.5 |