Geodesic
Arrow-diagram formulas for fourth-order invariants of knots
Fundamentalʹnaâ i prikladnaâ matematika, Tome 11 (2005) no. 5, pp. 3-17.

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In this paper, we study explicit arrow-diagram formulas for fourth-order Vassiliev invariants of knots announced by several authors. We show that, in fact, these formulas do not determine any knot invariants. 
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S. V. Alenov. Arrow-diagram formulas for fourth-order invariants of knots. Fundamentalʹnaâ i prikladnaâ matematika, Tome 11 (2005) no. 5, pp. 3-17. http://geodesic.mathdoc.fr/item/FPM_2005_11_5_a0/

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