Threading the Needle: Generating Textures in Nematics
Journal Article
Overview
abstract
The Hopf fibration is an example of a texture: a topologically stable,; smooth, global configuration of a field. Here we demonstrate the controlled; sculpting of the Hopf fibration in nematic liquid crystals through the control; of point defects. We demonstrate how these are related to torons by use of a; topological visualization technique derived from the Pontryagin-Thom; construction.