Timeline for How to see isometries of figure 8 knot complement
Current License: CC BY-SA 3.0
3 events
| when toggle format | what | by | license | comment | |
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| Jul 12, 2022 at 17:57 | comment | added | Sam Nead | @Tali - The "glide reflection" sends $L$ to $-L$ and sends $M$ to $M$. (Here I am using $L$ to denote the boundary of the Seifert surface and $M$ to denote the meridian of the knot.) You can see this by realising the matrix $\begin{pmatrix}2 &1\\ 1 & 1 \end{pmatrix}$ as the square of $\begin{pmatrix}1 &1\\ 1 & 0 \end{pmatrix}$. | |
| Aug 18, 2021 at 4:34 | comment | added | Tali | Thanks Neil I was looking for this kind of approach. In terms of the generators of the boundary then, the longitude L is sent to -L, and M to -M? i.e. do you also flip the "vertical" circle direction in the bundle? | |
| Nov 29, 2016 at 18:53 | history | answered | Neil Hoffman | CC BY-SA 3.0 |