Notes for AKT-091008-1/0:31:58

Comments:

1. The statement is reasonable and doesn't look hard.
2. [math]\displaystyle{ |W_{sl_N}^{top}(D)| }[/math] is proportional to the number of planar embeddings of [math]\displaystyle{ D }[/math] with minor conditions.
3. If [math]\displaystyle{ D }[/math] is planar, [math]\displaystyle{ |W_{sl_2}(D)| }[/math] is proportional to the number of 4-colorings of the plane divided by [math]\displaystyle{ D }[/math].
4. The statement above is equivalent to the four colour theorem.