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Polynomial Invariants of Knots and Links

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Abstract

The class of knots corresponding to d-diagrams with m vertical and n horizontal chords is considered and the set of their invariant polynomials is calculated. Bibliography: 2 titles.

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REFERENCES

  1. V. O. Manturov, “Atoms, vertical atoms, chord diagrams, and knots. Enumeration of atoms of low complexity using Mathematica 3.0,” in: Topological Methods in Hamiltonian Systems Theory, Faktorial, Moscow (1998), pp. 203–212.

  2. V. O. Manturov, “Bracket subgroup of knots,” Mat. Zametki, 67, 549–562(2000).

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Manturov, O.V. Polynomial Invariants of Knots and Links. Journal of Mathematical Sciences 113, 841–848 (2003). https://doi.org/10.1023/A:1021295504421

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  • DOI: https://doi.org/10.1023/A:1021295504421

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