Approximating Jones coefficients and other link invariants by Vassiliev invariants

2000/07/14 by Ilya Kofman, Yongwu Rong
Mathematics · #math.GT #msc:57M25

paper · pdf

published as J. Knot Theory Ramifications 9 (2000), no. 7, 955-966. · 12 pages, to appear in J. Knot Theory Ramifications

arxiv created 2000/07/14 · arxiv updated 2009/11/30

Abstract

We find approximations by Vassiliev invariants for the coefficients of the Jones polynomial and all specializations of the HOMFLY and Kauffman polynomials. Consequently, we obtain approximations of some other link invariants arising from the homology of branched covers of links.

Related

• The coefficients of the HOMFLYPT and the Kauffman polynomials are pointwise limits of Vassiliev invariants
• Some minimal degree Vassiliev invariants not realizable by the Homfly and Kauffman polynomial
• The number of independent Vassiliev invariants in the Homfly and Kauffman polynomials
• Kauffman type invariants for tied links
• The coefficients of the Jones polynomial