On Finiteness of Certain Vassiliev Invariants

Mathematics – Quantum Algebra

Scientific paper

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7 pages, LaTeX, no figures. PS files available at http://web.mit.edu/org/m/mathdept/www/ or ftp://ftp-math-papers.mit.edu

Scientific paper

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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