Conway Polynomial
المؤلف:
Doll, H. and Hoste, J.
المصدر:
"A Tabulation of Oriented Links." Math. Comput. 57
الجزء والصفحة:
...
12-6-2021
2081
Conway Polynomial
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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