nLab unknot

Redirected from "unlink".
Contents

Contents

Idea

The trivial knot is called the unknot.

Similarly, a link whose components are unknots not linked with each other is called an unlink.

Definition

An unknot is any knot isotopic to the flat circle embedded in the (x,y)(x,y)-plane of 3\mathbb{R}^3.

References

See also

Computation of the perturbative Wilson loop observable (universal Vassiliev invariant) of the unknot (“Wheels theorem”):

following

On machine learning the detection of unknots:

Exposition in:

Last revised on July 24, 2024 at 18:59:00. See the history of this page for a list of all contributions to it.