Zeros of Jones Polynomials for Families of Knots and Links
نویسندگان
چکیده
We calculate Jones polynomials VL(t) for several families of alternating knots and links by computing the Tutte polynomials T (G, x, y) for the associated graphs G and then obtaining VL(t) as a special case of the Tutte polynomial. For each of these families we determine the zeros of the Jones polynomial, including the accumulation set in the limit of infinitely many crossings. A discussion is also given of the calculation of Jones polynomials for nonalternating links. ∗email: [email protected] ∗∗email: [email protected]
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