Regular projections of the link L6n1

2022/08/29 by Alba, Andrea, Ramirez, Santino, Salazar, Gelasio
#05C10 #57K10 #57M15 #Combinatorics (math.CO) #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.2208.13926

Abstract

Given a link projection P and a link L, it is natural to ask whether it is possible that P is a projection of L. Taniyama answered this question for the cases in which L is a prime knot or link with crossing number at most five. Recently, Takimura settled the issue for the knot 6₂. We answer this question for the case in which L is the link L6n1.

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