Notes for AKT-090910-1/0:11:48

As a start, a function on knot diagrams rather than on knots is defined: For a knot diagram [math]\displaystyle{ D }[/math], [math]\displaystyle{ I(D) }[/math] gives the truth value of the following statement:

The arcs of [math]\displaystyle{ D }[/math] can be coloured in 3 colours [math]\displaystyle{ (R,G,B) }[/math] s.t.

1. Every crossing is either monochromatic or trichromatic.
2. All colours appear.