Timeline for Computation of KO theory of a point
Current License: CC BY-SA 4.0
13 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 11, 2022 at 20:00 | history | edited | YCor | CC BY-SA 4.0 |
moved meta info from title to tag, formatting
|
| Jan 11, 2022 at 19:15 | comment | added | Johannes Ebert | I answered Qu 1 here: mathoverflow.net/questions/192316/… | |
| Jan 11, 2022 at 19:01 | history | bumped | CommunityBot | This question has answers that may be good or bad; the system has marked it active so that they can be reviewed. | |
| Dec 12, 2021 at 18:05 | answer | added | user131113 | timeline score: 4 | |
| Dec 11, 2021 at 22:51 | comment | added | Connor Malin | @GregoryArone For real Bott periodicity he has a follow up paper clarifying and simplifying certain sections: www3.nd.edu/~mbehren1/papers/addendum.pdf | |
| Dec 11, 2021 at 17:51 | comment | added | Greg Friedman | If I recall correctly, I think there's also a nice computation of this in Milnor's book on Morse Theory. | |
| Dec 11, 2021 at 10:03 | comment | added | Gregory Arone | Behrens's paper "A new proof of the Bott periodicity theorem" is another source for Q1. www3.nd.edu/~mbehren1/papers/bott.pdf . | |
| Dec 11, 2021 at 0:33 | comment | added | Neil Strickland | Q1: Atiyah's paper "Clifford modules" (maths.ed.ac.uk/~v1ranick/papers/abs.pdf) is a good reference. I also explained the calculation in Section 7.2 of my thesis (neil-strickland.staff.shef.ac.uk/research/thesis.pdf). There is nothing significantly original there, but you might or might not find the exposition useful. | |
| Dec 11, 2021 at 0:25 | history | edited | geometricK | CC BY-SA 4.0 |
added 65 characters in body
|
| Dec 11, 2021 at 0:18 | comment | added | David Roberts♦ | To explain that previous comment a little more, which is for Question 1, it's to do with the homotopy groups of $\mathbb{Z}\times BO(\infty) = \mathbb{Z}\times \mathrm{colim}_nB O(n)$, which, IIRC, is a classifying space for $KO$. | |
| Dec 11, 2021 at 0:16 | history | edited | geometricK | CC BY-SA 4.0 |
added 186 characters in body
|
| Dec 11, 2021 at 0:02 | comment | added | F Zaldivar | Bott-periodicity | |
| Dec 10, 2021 at 23:40 | history | asked | geometricK | CC BY-SA 4.0 |