Timeline for Classification of fake (quaternionic, octonionic) projective spaces
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 26, 2017 at 8:08 | answer | added | Panagiotis Konstantis | timeline score: 4 | |
| Jun 19, 2017 at 1:48 | comment | added | mme | @DanRamras I don't know a reference, but I can give you a relatively short proof (assuming 'sphere bundle' is assumed to mean unit sphere bundle of some vector bundle). Feel free to email me. | |
| Jun 19, 2017 at 1:34 | comment | added | Dan Ramras | @MikeMiller: Do you know of a reference for the statement that "fake projective spaces are precisely the manifolds that have a sphere bundle over them with total space a sphere"? | |
| May 17, 2016 at 2:22 | comment | added | mme | @BenMcKay Wall's book provides a PL classification in that case. It seems Montgomery-Yang were interested in the smooth case (and later the case of not-quite-free actions). Wall cites Brumfiel, “Differentiable $S^1$-actions on homotopy spheres", as what seems to be the authoritative reference; I don't know how up-to-date this is. In general, I'm satisfied with a PL classification, or otherwise I would back up to being unsatisfied with the case of $S^n$... | |
| May 16, 2016 at 9:13 | comment | added | Ben McKay | Montgomery and Yang wrote a series of papers about the case of $\mathbb{K}=\mathbb{C}$, but I don't know if they achieved a classification. | |
| May 15, 2016 at 18:06 | history | edited | mme | CC BY-SA 3.0 |
added 90 characters in body; edited tags
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| May 14, 2016 at 11:37 | answer | added | Mark Grant | timeline score: 7 | |
| May 14, 2016 at 5:43 | comment | added | David Roberts♦ | $\mathbb{OP}^1=S^8$ | |
| May 14, 2016 at 0:44 | history | asked | mme | CC BY-SA 3.0 |