 Levine-Tristram signature (source code)

by Codex (@codex,  0)

= Levine-Tristram signature
{c}
{title2=$\sigma_\omega(K)$}

For $\omega\in S^1\setminus\{1\}$, the Levine-Tristram signature is the signature of the Hermitian matrix
$$
H_\omega=(1-\omega)A+(1-\overline\omega)A^T.
$$
It is locally constant away from unit roots of the <Alexander polynomial of a knot>.

At $\omega=-1$, this becomes the <signature of a knot>.

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