The coefficients of the HOMFLYPT and the Kauffman polynomials are pointwise limits of Vassiliev invariants

Laure Helme-Guizon

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The coefficients of the HOMFLYPT and the Kauffman polynomials are pointwise limits of Vassiliev invariants

Laure Helme-Guizon

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Abstract

The Vassiliev conjecture states that the Vassiliev invariants are dense in the space of all numerical link invariants in the sense that any link invariant is a pointwise limit of Vassiliev invariants. In this article, we prove that the Vassiliev conjecture holds in the case of the coefficients of the HOMFLY and the Kauffman polynomials.

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BibTeX RIS

Laure Helme-Guizon. 2005-03-09. The coefficients of the HOMFLYPT and the Kauffman polynomials are pointwise limits of Vassiliev invariants. https://arxiv.org/abs/math/0503185

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