dorsal/arxiv
View SchemaA Factorization of the Conway Polynomial
| Authors | Jerome Levine |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9711007 |
| URL | https://arxiv.org/abs/q-alg/9711007 |
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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"abstract": "A string link S can be closed in a canonical way to produce an ordinary\nclosed link L. We also consider a twisted closing which produces a knot K. We\ngive a formula for the Conway polynomial of L as a product of the Conway\npolynomial of K times a power series whose coefficients are given as explicit\nfunctions of the Milnor invariants of S. One consequence is a formula for the\nfirst non-vanishing coefficient of the Conway polynomial of L in terms of the\nMilnor invariants of L. There is an analogous factorization of the\nmultivariable Alexander polynomial.",
"arxiv_id": "q-alg/9711007",
"authors": [
"Jerome Levine"
],
"categories": [
"q-alg",
"math.GT",
"math.QA"
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"title": "A Factorization of the Conway Polynomial",
"url": "https://arxiv.org/abs/q-alg/9711007"
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