The knots that lie above all shadows

2019/03/05 by Carolina Medina, Medina, Carolina, Gelasio Salazar +1
Mathematics · #57M25 #FOS: Mathematics #Geometric Topology (math.GT) #math.GT #msc:57M25

paper · pdf · doi:10.48550/arxiv.1903.01971

arxiv created 2019/03/05 · arxiv updated 2019/03/06

Abstract

We show that for each even integer m≥ 2, every reduced shadow with sufficiently many crossings is a shadow of a torus knot T(2,m+1), or of a twist knot T_m, or of a connected sum of m trefoil knots.

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