Geodesic
Biquandle invariants for links in the projective space
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2015), pp. 7-13.

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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 addmissible colorings by projective biquandle of its diagram is invariant.
Keywords: link, projective space.
Mots-clés : invariant, biquandle 
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     author = {D. V. Gorkovets},
     title = {Biquandle invariants for links in the projective space},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {7--13},
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     url = {http://geodesic.mathdoc.fr/item/IVM_2015_6_a1/}
}
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D. V. Gorkovets. Biquandle invariants for links in the projective space. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2015), pp. 7-13. http://geodesic.mathdoc.fr/item/IVM_2015_6_a1/

[1] Fenn R., Jordan-Santana M., Kauffman L., “Biquandles and virtual links”, Topology and its applications, 145:1–3 (2004), 157 | DOI | MR | Zbl

[2] Drobotukhina Yu. V., “Analog mnogochlena Dzhounsa dlya zatseplenii v $\mathbb{R}P^3$ i obobschenie teoremy Kauffmana–Murasugi”, Algebra i analiz, 2:3 (1990), 171–191 | MR | Zbl

[3] Nelson S., Vo J., Matrices and finite biquandles, arXiv: math/0601145[math.GT] | MR