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A formula in the theory of finite type invariants

arXiv:math/9904141

Abstract

A formula for the difference of Vassiliev invariants of degree k+1 of two knots all of whose Vassiliev invariants of degree k agree is proven. The proof uses K. Habiro's C-moves and his theorem which relates them to Vassiliev invariants.

12 pages, AMS-LaTeX, 12 figures. Write-up of part of a talk given in the Topology Seminar of the Max-Planck Institute for Mathematics. Typos and oversights (Statement of Theorem) are dealt with, Final comment and reference added