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Date: 16-7-2021
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Date: 27-5-2021
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The Conway polynomial , sometimes known as the Conway-Alexander polynomial, is a modified version of the Alexander polynomial that was formulated by J. H. Conway (Livingston 1993, pp. 207-215). It is a reparametrization of the Alexander polynomial given by
The skein relationship convention used by for the Conway polynomial is
(Doll and Hoste 1991).
Examples of Alexander and Conway polynomials for common knots are given in the following table
knot | ||
trefoil knot | ||
figure eight knot | ||
Solomon's seal knot | ||
stevedore's knot | ||
Miller Institute knot |
REFERENCES:
Doll, H. and Hoste, J. "A Tabulation of Oriented Links." Math. Comput. 57, 747-761, 1991.
Livingston, C. Knot Theory. Washington, DC: Math. Assoc. Amer., 1993.
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