On the warping sum of knots

2017/12/20 by Jablan, Slavik, Shimizu, Ayaka
#FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1712.07332

Abstract

The warping sum e(K) of a knot K is the minimal value of the sum of the warping degrees of a minimal diagram of K with both orientations. In this paper, knots K with e(K) ≤ 3 are characterized, and some knots K with e(K)=4 are given.

Related

• Prime alternating knots of minimal warping degree two
• The warping degree of a knot diagram
• The warping polynomial of a knot diagram
• The warping matrix of a knot diagram
• Lower bounds for the warping degree of a knot projection