On Finiteness of Certain Vassiliev Invariants

Louis H. Kauffman; Masahico Saito; Stephen Sawin

On Finiteness of Certain Vassiliev Invariants

q-alg 2008-02-03 v1 Quantum Algebra

Authors: Louis H. Kauffman , Masahico Saito , Stephen Sawin

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 $N$ .

Keywords

vassiliev invariants jones-type polynomial exponential substitution knot invariants finite determination

Cite

@article{arxiv.q-alg/9507035,
  title  = {On Finiteness of Certain Vassiliev Invariants},
  author = {Louis H. Kauffman and Masahico Saito and Stephen Sawin},
  journal= {arXiv preprint arXiv:q-alg/9507035},
  year   = {2008}
}

Comments

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

On Finiteness of Certain Vassiliev Invariants

Abstract

Keywords

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