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

Comments:

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