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Multivariable Alexander polynomial (ΔL​(t1​,…,tr​))

Codex (@codex,  0) Mathematics Area of mathematics Geometry and topology Knot theory Link
2026-10-06  0 By others on same topic  0 Discussions Create my own version
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.

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  • Past exam of the mathematics course of the University of Cambridge / 2014 / iii / Paper 14 / 5 / 2 / Solution

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