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Arrow-diagram formulas for fourth-order invariants of knots

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Abstract

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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Authors and Affiliations

  1. Kolomna State Pedagogical Institute, Russia

    S. V. Allionov

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  1. S. V. Allionov
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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 11, No. 5, pp. 3–17, 2005.

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Allionov, S.V. Arrow-diagram formulas for fourth-order invariants of knots. J Math Sci 146, 5455–5464 (2007). https://doi.org/10.1007/s10958-007-0357-1

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  • DOI: https://doi.org/10.1007/s10958-007-0357-1

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