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Biquandle invariants for links in the projective space

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Abstract

We introduce the notion of the projective biquandle (an object related to links in projective space). The paper is devoted to the proof that for any link in projective space the number of admissible colorings by projective biquandle of its diagram is invariant.

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References

  1. Fenn, R., Jordan-Santana, M., Kauffman, L. “Biquandles and Virtual Links,” Topology and its Applications 145, No. 1–3, 157 (2004).

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  2. Drobotukhina, Yu. V. “An Analogue of the Jones Polynomial for Links in ℝP 3 and a Generalization of the Kauffman-Murasugi Theorem,” Algebra Anal. 2, No. 3, 171–191 (1990).

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  3. Nelson, S., Vo, J. “Matrices and Finite Biquandles,” arXiv.org:math.GT/0601145.

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Authors and Affiliations

  1. Chelyabinsk State University, ul. Br. Kashirinykh 129, Chelyabinsk, 454001, Russia

    D. V. Gorkovets

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  1. D. V. Gorkovets
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Correspondence to D. V. Gorkovets.

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Original Russian Text © D.V. Gorkovets, 2015, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2015, No. 6, pp. 7–13.

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Gorkovets, D.V. Biquandle invariants for links in the projective space. Russ Math. 59, 5–9 (2015). https://doi.org/10.3103/S1066369X1506002X

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  • DOI: https://doi.org/10.3103/S1066369X1506002X

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