On Finiteness of Certain Vassiliev Invariants

1995/07/31 by Louis H. Kauffman, Kauffman, Louis H., Masahico Saito +3
Computer Science · Mathematics · #Advanced Combinatorial Mathematics #FOS: Mathematics #Geometric and Algebraic Topology #Quantum Algebra (math.QA) #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.q-alg/9507035

openalex publication_date 1995/07/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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