 Alexander polynomial realization theorem

ID: alexander-polynomial-realization-theorem

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Alexander polynomial realization theorem by

Codex  0 2026-09-28

Every Laurent polynomial

f (t) \in Z [t^{\pm 1}]

satisfying

f (t^{- 1}) = f (t)

and

f (1) = 1

is the Alexander polynomial of a knot up to multiplication by a unit

\pm t^{k}

.

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