TY - JOUR
T1 - Zeros of Jones polynomials for families of knots and links
AU - Chang, S. C.
AU - Shrock, R.
N1 - Funding Information:
We would like to thank Prof. F.Y. Wu for suggesting this line of investigation and for giving us a copy of Ref. [13] prior to publication. This research was supported in part by the NSF grant PHY-9722101.
PY - 2001/12/1
Y1 - 2001/12/1
N2 - 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.
AB - 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.
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U2 - 10.1016/S0378-4371(01)00364-8
DO - 10.1016/S0378-4371(01)00364-8
M3 - Article
AN - SCOPUS:0035575821
SN - 0378-4371
VL - 301
SP - 196
EP - 218
JO - Physica A: Statistical Mechanics and its Applications
JF - Physica A: Statistical Mechanics and its Applications
IS - 1-4
ER -