Some minimal degree Vassiliev invariants not realizable by the Homfly and Kauffman polynomial

1998/07/15 by A. Stoimenow
Mathematics · #math.GT #msc:57M25

paper · pdf

published as C. R. Acad. Bulgare Sci. 54(4) (2001), 9--14. · 4 pages, 4 figures

arxiv created 1998/07/15 · arxiv updated 2009/11/30

Abstract

We collect some examples showing that some Vassiliev invariants are not obtainable from the HOMFLY and Kauffman polynomials in the real sense, namely, that they distinguish knots not distinguishable by the HOMFLY and/or Kauffman polynomial.

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• Polynomial invariants and Vassiliev invariants
• The coefficients of the HOMFLYPT and the Kauffman polynomials are pointwise limits of Vassiliev invariants
• Approximating Jones coefficients and other link invariants by Vassiliev invariants
• Polynomial Invariants are Polynomial
• The number of independent Vassiliev invariants in the Homfly and Kauffman polynomials