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Vassiliev Invariants for Torus Knots

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arxiv q-alg/9506009 v1 pith:MA72FJQS submitted 1995-06-09 q-alg hep-thmath.QA

classification q-alghep-thmath.QA
keywords invariantsknotsordertorusvassilievarbitraryauthorscoincide
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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.

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