Timeline for Simplicial model of Hopf map?
Current License: CC BY-SA 4.0
13 events
| when toggle format | what | by | license | comment | |
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| May 21, 2023 at 9:59 | comment | added | Ryan Budney | Hyam Rubinstein's notion of "layered solid triangulation" might be what you are looking for. These give rise to minimal semi-simplicial triangulations of $S^3$ and many other small 3-manifolds. They are modelled around the Seifert fiberings of $S^3$. I think the smallest ones are modelled around the (2,1)-fiberings, but the Hopf fibration comes up after you pass the very smallest fiberings. At least, that's my recollection. Ben Burton's Ph.D thesis has some of these written up in great detail. | |
| May 21, 2023 at 9:56 | comment | added | Ryan Budney | @JohnPalmieri: there is a semi-simplicial triangulation (unordered delta complex) of $\mathbb CP^2$ with only four 4-dimensional simplices. | |
| Sep 21, 2022 at 16:58 | history | edited | YCor | CC BY-SA 4.0 |
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| Sep 21, 2022 at 16:50 | answer | added | Ondrej Draganov | timeline score: 4 | |
| Jun 25, 2016 at 23:33 | answer | added | John Palmieri | timeline score: 8 | |
| Jun 25, 2016 at 23:21 | comment | added | John Palmieri | "I would equivalently be interested in a small combinatorial model for $CP^2$." Are these equivalent? There is a small combinatorial model for $CP^2$ discussed in "Triangulations of complex projective spaces" by Sergeraert -- see www-fourier.ujf-grenoble.fr/~sergerar/Papers/Mirian.pdf -- and one can extract an explicit description from the computer program Kenzo. Given that, how do you get a description of the Hopf map? | |
| Oct 28, 2009 at 19:47 | vote | accept | Chris Schommer-Pries | ||
| Oct 28, 2009 at 17:36 | answer | added | Benjamin Antieau | timeline score: 15 | |
| Oct 28, 2009 at 15:45 | vote | accept | Chris Schommer-Pries | ||
| Oct 28, 2009 at 19:47 | |||||
| Oct 28, 2009 at 15:35 | answer | added | Charles Rezk | timeline score: 5 | |
| Oct 28, 2009 at 15:22 | answer | added | Charles Rezk | timeline score: 8 | |
| Oct 28, 2009 at 15:18 | answer | added | Eric Wofsey | timeline score: 2 | |
| Oct 28, 2009 at 14:24 | history | asked | Chris Schommer-Pries | CC BY-SA 2.5 |