Vassiliev Invariants for Torus Knots

Abstract

Vassiliev invariants up to order six for arbitrary torus knots $\{n,m\}$, with $n$ and $m$ coprime integers, are computed. These invariants are polynomials in $n$ and $m$ whose degree coincide with their order. Furthermore, they turn out to be integer-valued in a normalization previously proposed by the authors.

33 pages, macropackages phyzzx and epsf used, 2 figures