Timeline for Heegaard splittings of Brieskorn spheres
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| Jun 17, 2020 at 10:14 | comment | added | Marco Golla | I guess that this is (among other places) in Saveliev's book, or in Eisenbud and Neumann's book. A way of seeing it is to show that they're branched covers of $S^3$ branched over a torus knot/link and lift the Seifert fibration of $S^3$. (Also, I guess I was pretty loose with terminology: I think that technically a Brieskorn sphere has $\gcd(p,q) = \gcd(q,r) = \gcd(r,p) = 1$, so it's a homology sphere, and then the proof is at the beginning of my answer.) | |
| Jun 17, 2020 at 0:01 | comment | added | no_idea | Hi @Marco Golla, could you please provide a reference for showing that Brieskorn sphere are small seifert fibered spaces? I would like to try to understand what the Kirby diagram for $\Sigma(2,3,4)$ might look like (as a SFS, rather than $E_{7}$). Thanks! | |
| Jan 26, 2020 at 18:06 | vote | accept | CommunityBot | ||
| Mar 13, 2020 at 18:40 | |||||
| Jan 26, 2020 at 15:49 | history | answered | Marco Golla | CC BY-SA 4.0 |