Table 1 Various Seifert surface properties and NL topological invariants
From: Emergence and full 3D-imaging of nodal boundary Seifert surfaces in 4D topological matter
Link/Knot | N | Genus | Rank | Seifert matrix | \({\bf{A}}({\bf{t}})\) | Signature |
|---|---|---|---|---|---|---|
Hopf | 2 | 0 | 1 | \(-1\) | \(\frac{t-1}{\sqrt{t}}\) | −1 |
Trefoil | 1 | 1 | 2 | \(\left(\begin{array}{cc}-1&0\\ 1&-1\end{array}\right)\) | \(t+{t}^{-1}-1\) | \(-2\) |
2-link | 2 | 1 | 3 | \(\left(\begin{array}{ccc}-1 & 0 & 0\\ 1&0 & -1\\ 0 & 0 & 1\end{array}\right)\) | 0 | 0 |
