Timeline for low dimensional manifolds by gluing the boundary of a ball
Current License: CC BY-SA 4.0
6 events
when toggle format | what | by | license | comment | |
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Jan 28, 2021 at 22:06 | vote | accept | user101010 | ||
Dec 10, 2020 at 20:21 | comment | added | user101010 | @IgorBelegradek The way I think of doing this for arbitrary such 3-manifolds is to start with a triangulation and consider the graph whose vertices are 3-cells and the edges correspond to the faces between adjacent 3-cells. Taking a spanning tree of this grpha and the taking all of the 3-cells and 2-cells corresponding to the vertices and edges gives a 3-ball with the desired quotienting of the boundary. | |
Dec 10, 2020 at 14:29 | comment | added | Igor Belegradek | In 3d see arxiv.org/abs/0806.1912, "Bitwist 3-manifolds" by J. W. Cannon, W. J. Floyd, W. R. Parry, which constructs all closed connected orientable 3-manifolds by identifying sides of a 3-disk. | |
Dec 10, 2020 at 3:48 | answer | added | Josh Howie | timeline score: 5 | |
Dec 9, 2020 at 18:32 | comment | added | Moishe Kohan | In 3d you can find some references here. In 4d, I think, the most common way to describe 4-manifolds (at least, among topologists) is via Kirby diagrams or trisections. | |
Dec 9, 2020 at 10:36 | history | asked | user101010 | CC BY-SA 4.0 |