Families of not perfectly straight knots

2018/04/13 by Owad, Nicholas
#57M25 #57M27 #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1804.04799

Abstract

We present two families of knots which have straight number higher than crossing number. In the case of the second family, we have computed the straight number explicitly. We also give a general theorem about alternating knots that states adding an even number of crossings to a twist region will not change whether the knots are perfectly straight or not perfectly straight.

Related

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• Table of Families of Alternating Knots with their Conway's Function