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On Finiteness of Certain Vassiliev Invariants

Louis H. Kauffman, Masahico Saito, Stephen Sawin

q-algarXiv:q-alg/9507035

Abstract

The best known examples of Vassiliev invariants are the coefficients of a Jones-type polynomial expanded after exponential substitution. We show that for a given knot, the first N Vassiliev invariants in this family determine the rest for some integer N.

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