Timeline for Representing KO-theory using Clifford algebras
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 5, 2013 at 22:40 | comment | added | David White | Have you checked out the Wood reference? | |
| May 3, 2013 at 16:39 | comment | added | Christian Wimmer | I was aware of the results in "Clifford Modules" but couldn't relate them to Segal's statement. They describe the coefficients in terms of Clifford algebras while Segal talks about actual representing spaces which seems stronger. | |
| May 3, 2013 at 12:38 | comment | added | David White | Their original paper is "Clifford Modules". A more complete discussion can be found in Wood: "Banach algebras and Bott periodicity" | |
| May 3, 2013 at 2:11 | comment | added | David White | So, Hovey proved it in this course he taught, and I can go digging for the lecture notes if I remember. I don't know of a canonical reference, but I'll look. I wrote my answer the way I did to highlight the connection to Bott Periodicity, rather than getting bogged down in the details of the proof. It gets rather technical as I recall. | |
| May 3, 2013 at 1:00 | comment | added | Anton Fetisov | David, do you happen to know any good reference for Atiyah-Bott-Shapiro theorem? Their original paper doesn't really give any good proof, more of an observation that the groups coincide. Definitely not just a direct proof, as one could expect. | |
| May 2, 2013 at 16:04 | history | answered | David White | CC BY-SA 3.0 |