Zeros of Jones polynomials for families of knots and links

S.-C. Chang and R. Shrock

Physica A: Statistical Mechanics and its Applications, 2001, vol. 301, issue 1, 196-218

Abstract: 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 non-alternating links.

Date: 2001
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:301:y:2001:i:1:p:196-218

DOI: 10.1016/S0378-4371(01)00364-8

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