Multivariable Alexander polynomial (source code)

= Multivariable Alexander polynomial
{title2=$\Delta_L(t_1,\ldots,t_r)$}

For a <link> with at least two components, this polynomial is the greatest common divisor of the appropriate maximal minors of an abelianized <Alexander matrix>, with one variable per oriented component meridian. It is defined up to multiplication by a signed monomial. For a deficiency-one presentation with $g$ generators and $g-1$ relators, use its $(g-1)$-row minors. This normalization gives one for a <Hopf link>.