Zeros of Jones polynomials for families of knots and links

S. C. Chang, R. Shrock

研究成果: Article同行評審

24 引文 斯高帕斯(Scopus)

摘要

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.

原文English
頁(從 - 到)196-218
頁數23
期刊Physica A: Statistical Mechanics and its Applications
301
發行號1-4
DOIs
出版狀態Published - 2001 12月 1

All Science Journal Classification (ASJC) codes

  • 統計與概率
  • 凝聚態物理學

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