Cube number can detect chirality and Legendrian type of knots

Abstract

For a knot K the cube number is a knot invariant defined to be the smallest n for which there is a cube diagram of size n for K. We will show that the cube number detects chirality in all cases computed thus far, and distinguishes certain legendrian knots.

Cited by in corpus (2)

• Embedded and Lagrangian Knotted Tori in $\BR^4$ and Hypercube Homology
• An infinite family of Legendrian torus knots distinguished by cube number