Vassiliev Invariants and Gleam Polynomials

1996/05/14 by Urs Burri, Burri, Urs
Mathematics · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #FOS: Mathematics #Geometric and Algebraic Topology #Quantum Algebra (math.QA) #math.QA #q-alg

paper · pdf · doi:10.48550/arxiv.q-alg/9605019

4 pages, LaTex file

arxiv created 1996/05/14 · openalex publication_date 1996/05/14 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It was shown by Goussarov that Vassiliev invariants are polynomials in the gleams for a fixed Turaev shadow. In this paper we show that Vassiliev invariants are almost characterized by this fact. We also prove that the space of knot invariants which are polynomials in the gleams is bigger than the Vassiliev subspace.

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