Vassiliev Invariants and Gleam Polynomials

Mathematics – Quantum Algebra

Scientific paper

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4 pages, LaTex file

Scientific paper

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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