Writhe

Twisting of (also: swirl, English:. Writhe ) referred to in knot theory, a branch of topology in mathematics, a property -oriented Verschlingungsdiagramme that is used among other things in the definition of the Jones polynomial. The twisting of the difference between the number of positive crossings and the number of negative crossings.

Positive and negative crossings are defined in images below.

For the twisting of knot diagrams is independent of the chosen orientation for Verschlingsdiagramme with more than one component is generally not.

The twisting of is invariant under Reidemeister moves of type II and III. Increase Reidemeister moves of type I or reduce the twisting of order 1 In particular, the twisting of is not a knot invariant, but only invariant of the knot diagram.