Research ArticleNo Access

Regular projections of the link $L 6 n 1$ $L 6 n 1$

Andrea Alba

Instituto de Física, Universidad Autónoma de San Luis Potosí, San Luis Potosí, SLP 78000, Mexico

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Santino Ramírez

Instituto de Física, Universidad Autónoma de San Luis Potosí, San Luis Potosí, SLP 78000, Mexico

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, and

Gelasio Salazar

https://orcid.org/0000-0002-8458-3930

Instituto de Física, Universidad Autónoma de San Luis Potosí, San Luis Potosí, SLP 78000, Mexico

E-mail Address: gelasio.salazar@uaslp.mx

Corresponding author.

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https://doi.org/10.1142/S0218216523500062Cited by:1 (Source: Crossref)

Abstract

Given a link projection $P$ $P$ and a link $L$ $L$ , it is natural to ask whether it is possible that $P$ $P$ is a projection of $L$ $L$ . Taniyama answered this question for the cases in which $L$ $L$ is a prime knot or link with crossing number at most five. Recently, Takimura settled the issue for the knot $6_{2}$ $6_{2}$ . We answer this question for the case in which $L$ $L$ is the link $L 6 n 1$ $L 6 n 1$ .

Keywords:

AMSC: 57K10, 57M15, 05C10

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