A Factorization of the Conway Polynomial

Jerome Levine

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arXiv · q-alg/9711007

A Factorization of the Conway Polynomial

Jerome Levine

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Abstract

A string link S can be closed in a canonical way to produce an ordinary closed link L. We also consider a twisted closing which produces a knot K. We give a formula for the Conway polynomial of L as a product of the Conway polynomial of K times a power series whose coefficients are given as explicit functions of the Milnor invariants of S. One consequence is a formula for the first non-vanishing coefficient of the Conway polynomial of L in terms of the Milnor invariants of L. There is an analogous factorization of the multivariable Alexander polynomial.

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Jerome Levine. 1997-11-08. A Factorization of the Conway Polynomial. https://arxiv.org/abs/q-alg/9711007

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